%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN509+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 13:53:47 EDT 2022 % Result : Theorem 1.20s 1.38s % Output : Proof 1.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN509+1 : TPTP v8.1.0. Released v2.1.0. % 0.06/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n009.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 20:51:37 EDT 2022 % 0.13/0.34 % CPUTime : % 1.20/1.38 (* PROOF-FOUND *) % 1.20/1.38 % SZS status Theorem % 1.20/1.38 (* BEGIN-PROOF *) % 1.20/1.38 % SZS output start Proof % 1.20/1.38 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c3_1 (a432))/\((~(c0_1 (a432)))/\(~(c2_1 (a432)))))))/\(((~(hskp1))\/((ndr1_0)/\((~(c0_1 (a433)))/\((~(c1_1 (a433)))/\(~(c2_1 (a433)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a434))/\((~(c1_1 (a434)))/\(~(c3_1 (a434)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a435))/\((~(c0_1 (a435)))/\(~(c3_1 (a435)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a439))/\((c3_1 (a439))/\(~(c1_1 (a439)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a441))/\((~(c2_1 (a441)))/\(~(c3_1 (a441)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a442))/\((c2_1 (a442))/\(~(c3_1 (a442)))))))/\(((~(hskp7))\/((ndr1_0)/\((c3_1 (a443))/\((~(c1_1 (a443)))/\(~(c2_1 (a443)))))))/\(((~(hskp8))\/((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))))/\(((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))))/\(((~(hskp18))\/((ndr1_0)/\((~(c1_1 (a466)))/\((~(c2_1 (a466)))/\(~(c3_1 (a466)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))))/\(((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))))/\(((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp1)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp4)\/(hskp1)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp2)\/(hskp1)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp6)\/(hskp18)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp19)\/(hskp1)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp1)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0)))/\(((forall X83 : zenon_U, ((ndr1_0)->((c1_1 X83)\/((c2_1 X83)\/(c3_1 X83)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/(hskp19)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp1)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))))/\(((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp30)\/(hskp11)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp4)\/(hskp13)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(hskp30)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26)))/\(((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19)))/\(((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8)))/\(((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27)))/\(((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3)))/\(((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0)))/\(((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15)))/\(((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/((hskp6)\/(hskp0)))/\(((hskp30)\/((hskp14)\/(hskp24)))/\(((hskp14)\/((hskp19)\/(hskp13)))/\(((hskp17)\/((hskp10)\/(hskp23)))/\(((hskp6)\/((hskp20)\/(hskp13)))/\(((hskp24)\/((hskp12)\/(hskp3)))/\((hskp10)\/((hskp8)\/(hskp1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.20/1.38 Proof. % 1.20/1.38 assert (zenon_L1_ : (~(hskp14)) -> (hskp14) -> False). % 1.20/1.38 do 0 intro. intros zenon_H1 zenon_H2. % 1.20/1.38 exact (zenon_H1 zenon_H2). % 1.20/1.38 (* end of lemma zenon_L1_ *) % 1.20/1.38 assert (zenon_L2_ : (~(hskp19)) -> (hskp19) -> False). % 1.20/1.38 do 0 intro. intros zenon_H3 zenon_H4. % 1.20/1.38 exact (zenon_H3 zenon_H4). % 1.20/1.38 (* end of lemma zenon_L2_ *) % 1.20/1.38 assert (zenon_L3_ : (~(hskp13)) -> (hskp13) -> False). % 1.20/1.38 do 0 intro. intros zenon_H5 zenon_H6. % 1.20/1.38 exact (zenon_H5 zenon_H6). % 1.20/1.38 (* end of lemma zenon_L3_ *) % 1.20/1.38 assert (zenon_L4_ : ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp14)) -> (~(hskp19)) -> (~(hskp13)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 1.20/1.38 exact (zenon_H1 zenon_H2). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 1.20/1.38 exact (zenon_H3 zenon_H4). % 1.20/1.38 exact (zenon_H5 zenon_H6). % 1.20/1.38 (* end of lemma zenon_L4_ *) % 1.20/1.38 assert (zenon_L5_ : (~(hskp6)) -> (hskp6) -> False). % 1.20/1.38 do 0 intro. intros zenon_H9 zenon_Ha. % 1.20/1.38 exact (zenon_H9 zenon_Ha). % 1.20/1.38 (* end of lemma zenon_L5_ *) % 1.20/1.38 assert (zenon_L6_ : (~(hskp20)) -> (hskp20) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hb zenon_Hc. % 1.20/1.38 exact (zenon_Hb zenon_Hc). % 1.20/1.38 (* end of lemma zenon_L6_ *) % 1.20/1.38 assert (zenon_L7_ : ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> (~(hskp20)) -> (~(hskp13)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hd zenon_H9 zenon_Hb zenon_H5. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Ha | zenon_intro zenon_He ]. % 1.20/1.38 exact (zenon_H9 zenon_Ha). % 1.20/1.38 apply (zenon_or_s _ _ zenon_He); [ zenon_intro zenon_Hc | zenon_intro zenon_H6 ]. % 1.20/1.38 exact (zenon_Hb zenon_Hc). % 1.20/1.38 exact (zenon_H5 zenon_H6). % 1.20/1.38 (* end of lemma zenon_L7_ *) % 1.20/1.38 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hf zenon_H10. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 (* end of lemma zenon_L8_ *) % 1.20/1.38 assert (zenon_L9_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H11 zenon_H10 zenon_H12 zenon_H13 zenon_H14. % 1.20/1.38 generalize (zenon_H11 (a467)). zenon_intro zenon_H15. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_Hf | zenon_intro zenon_H16 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 1.20/1.38 exact (zenon_H12 zenon_H18). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 1.20/1.38 exact (zenon_H13 zenon_H1a). % 1.20/1.38 exact (zenon_H19 zenon_H14). % 1.20/1.38 (* end of lemma zenon_L9_ *) % 1.20/1.38 assert (zenon_L10_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (c0_1 (a472)) -> (c1_1 (a472)) -> (c3_1 (a472)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H1b zenon_H10 zenon_H1c zenon_H1d zenon_H1e. % 1.20/1.38 generalize (zenon_H1b (a472)). zenon_intro zenon_H1f. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_Hf | zenon_intro zenon_H20 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 1.20/1.38 exact (zenon_H22 zenon_H1c). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 1.20/1.38 exact (zenon_H24 zenon_H1d). % 1.20/1.38 exact (zenon_H23 zenon_H1e). % 1.20/1.38 (* end of lemma zenon_L10_ *) % 1.20/1.38 assert (zenon_L11_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H25 zenon_H10 zenon_H1b zenon_H1c zenon_H1e zenon_H26. % 1.20/1.38 generalize (zenon_H25 (a472)). zenon_intro zenon_H27. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_Hf | zenon_intro zenon_H28 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H1d | zenon_intro zenon_H29 ]. % 1.20/1.38 apply (zenon_L10_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H23 ]. % 1.20/1.38 exact (zenon_H26 zenon_H2a). % 1.20/1.38 exact (zenon_H23 zenon_H1e). % 1.20/1.38 (* end of lemma zenon_L11_ *) % 1.20/1.38 assert (zenon_L12_ : (~(hskp12)) -> (hskp12) -> False). % 1.20/1.38 do 0 intro. intros zenon_H2b zenon_H2c. % 1.20/1.38 exact (zenon_H2b zenon_H2c). % 1.20/1.38 (* end of lemma zenon_L12_ *) % 1.20/1.38 assert (zenon_L13_ : (~(hskp3)) -> (hskp3) -> False). % 1.20/1.38 do 0 intro. intros zenon_H2d zenon_H2e. % 1.20/1.38 exact (zenon_H2d zenon_H2e). % 1.20/1.38 (* end of lemma zenon_L13_ *) % 1.20/1.38 assert (zenon_L14_ : ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (ndr1_0) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H2f zenon_H26 zenon_H1e zenon_H1c zenon_H10 zenon_H25 zenon_H2b zenon_H2d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ]. % 1.20/1.38 apply (zenon_L11_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.20/1.38 exact (zenon_H2b zenon_H2c). % 1.20/1.38 exact (zenon_H2d zenon_H2e). % 1.20/1.38 (* end of lemma zenon_L14_ *) % 1.20/1.38 assert (zenon_L15_ : (~(hskp28)) -> (hskp28) -> False). % 1.20/1.38 do 0 intro. intros zenon_H31 zenon_H32. % 1.20/1.38 exact (zenon_H31 zenon_H32). % 1.20/1.38 (* end of lemma zenon_L15_ *) % 1.20/1.38 assert (zenon_L16_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp3)) -> (~(hskp12)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp28)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H2d zenon_H2b zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H2f zenon_H31. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.38 apply (zenon_L9_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.38 apply (zenon_L14_); trivial. % 1.20/1.38 exact (zenon_H31 zenon_H32). % 1.20/1.38 (* end of lemma zenon_L16_ *) % 1.20/1.38 assert (zenon_L17_ : (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c1_1 (a437))) -> (c0_1 (a437)) -> (c3_1 (a437)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H35 zenon_H10 zenon_H36 zenon_H37 zenon_H38. % 1.20/1.38 generalize (zenon_H35 (a437)). zenon_intro zenon_H39. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_Hf | zenon_intro zenon_H3a ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 1.20/1.38 exact (zenon_H36 zenon_H3c). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 1.20/1.38 exact (zenon_H3e zenon_H37). % 1.20/1.38 exact (zenon_H3d zenon_H38). % 1.20/1.38 (* end of lemma zenon_L17_ *) % 1.20/1.38 assert (zenon_L18_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (c0_1 (a437)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (c3_1 (a437)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H1b zenon_H10 zenon_H37 zenon_H35 zenon_H38. % 1.20/1.38 generalize (zenon_H1b (a437)). zenon_intro zenon_H3f. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_Hf | zenon_intro zenon_H40 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H3e | zenon_intro zenon_H41 ]. % 1.20/1.38 exact (zenon_H3e zenon_H37). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H36 | zenon_intro zenon_H3d ]. % 1.20/1.38 apply (zenon_L17_); trivial. % 1.20/1.38 exact (zenon_H3d zenon_H38). % 1.20/1.38 (* end of lemma zenon_L18_ *) % 1.20/1.38 assert (zenon_L19_ : ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a437)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (c0_1 (a437)) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H2f zenon_H38 zenon_H35 zenon_H37 zenon_H10 zenon_H2b zenon_H2d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ]. % 1.20/1.38 apply (zenon_L18_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.20/1.38 exact (zenon_H2b zenon_H2c). % 1.20/1.38 exact (zenon_H2d zenon_H2e). % 1.20/1.38 (* end of lemma zenon_L19_ *) % 1.20/1.38 assert (zenon_L20_ : (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H42 zenon_H10 zenon_H26 zenon_H1c zenon_H1e. % 1.20/1.38 generalize (zenon_H42 (a472)). zenon_intro zenon_H43. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_Hf | zenon_intro zenon_H44 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H2a | zenon_intro zenon_H45 ]. % 1.20/1.38 exact (zenon_H26 zenon_H2a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H22 | zenon_intro zenon_H23 ]. % 1.20/1.38 exact (zenon_H22 zenon_H1c). % 1.20/1.38 exact (zenon_H23 zenon_H1e). % 1.20/1.38 (* end of lemma zenon_L20_ *) % 1.20/1.38 assert (zenon_L21_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H46 zenon_H47 zenon_H14 zenon_H13 zenon_H12 zenon_H2d zenon_H2b zenon_H2f zenon_H26 zenon_H1c zenon_H1e. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.20/1.38 apply (zenon_L9_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.20/1.38 apply (zenon_L19_); trivial. % 1.20/1.38 apply (zenon_L20_); trivial. % 1.20/1.38 (* end of lemma zenon_L21_ *) % 1.20/1.38 assert (zenon_L22_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H4c zenon_H4d zenon_H47 zenon_H12 zenon_H13 zenon_H14 zenon_H2f zenon_H2d zenon_H2b zenon_H33. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.38 apply (zenon_L16_); trivial. % 1.20/1.38 apply (zenon_L21_); trivial. % 1.20/1.38 (* end of lemma zenon_L22_ *) % 1.20/1.38 assert (zenon_L23_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H50 zenon_H4d zenon_H47 zenon_H12 zenon_H13 zenon_H14 zenon_H2f zenon_H2d zenon_H2b zenon_H33 zenon_H9 zenon_H5 zenon_Hd. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.38 apply (zenon_L7_); trivial. % 1.20/1.38 apply (zenon_L22_); trivial. % 1.20/1.38 (* end of lemma zenon_L23_ *) % 1.20/1.38 assert (zenon_L24_ : (~(hskp24)) -> (hskp24) -> False). % 1.20/1.38 do 0 intro. intros zenon_H51 zenon_H52. % 1.20/1.38 exact (zenon_H51 zenon_H52). % 1.20/1.38 (* end of lemma zenon_L24_ *) % 1.20/1.38 assert (zenon_L25_ : ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp24)) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H53 zenon_H51 zenon_H2b zenon_H2d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H52 | zenon_intro zenon_H30 ]. % 1.20/1.38 exact (zenon_H51 zenon_H52). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.20/1.38 exact (zenon_H2b zenon_H2c). % 1.20/1.38 exact (zenon_H2d zenon_H2e). % 1.20/1.38 (* end of lemma zenon_L25_ *) % 1.20/1.38 assert (zenon_L26_ : (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H54 zenon_H10 zenon_H55 zenon_H56 zenon_H57. % 1.20/1.38 generalize (zenon_H54 (a452)). zenon_intro zenon_H58. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_Hf | zenon_intro zenon_H59 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 1.20/1.38 exact (zenon_H55 zenon_H5b). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ]. % 1.20/1.38 exact (zenon_H5d zenon_H56). % 1.20/1.38 exact (zenon_H5c zenon_H57). % 1.20/1.38 (* end of lemma zenon_L26_ *) % 1.20/1.38 assert (zenon_L27_ : (~(hskp29)) -> (hskp29) -> False). % 1.20/1.38 do 0 intro. intros zenon_H5e zenon_H5f. % 1.20/1.38 exact (zenon_H5e zenon_H5f). % 1.20/1.38 (* end of lemma zenon_L27_ *) % 1.20/1.38 assert (zenon_L28_ : (~(hskp16)) -> (hskp16) -> False). % 1.20/1.38 do 0 intro. intros zenon_H60 zenon_H61. % 1.20/1.38 exact (zenon_H60 zenon_H61). % 1.20/1.38 (* end of lemma zenon_L28_ *) % 1.20/1.38 assert (zenon_L29_ : ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp16)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H62 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H5e zenon_H60. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H54 | zenon_intro zenon_H63 ]. % 1.20/1.38 apply (zenon_L26_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5f | zenon_intro zenon_H61 ]. % 1.20/1.38 exact (zenon_H5e zenon_H5f). % 1.20/1.38 exact (zenon_H60 zenon_H61). % 1.20/1.38 (* end of lemma zenon_L29_ *) % 1.20/1.38 assert (zenon_L30_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H64 zenon_H10 zenon_H65 zenon_H66 zenon_H67. % 1.20/1.38 generalize (zenon_H64 (a486)). zenon_intro zenon_H68. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_Hf | zenon_intro zenon_H69 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 1.20/1.38 exact (zenon_H65 zenon_H6b). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 1.20/1.38 exact (zenon_H6d zenon_H66). % 1.20/1.38 exact (zenon_H6c zenon_H67). % 1.20/1.38 (* end of lemma zenon_L30_ *) % 1.20/1.38 assert (zenon_L31_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c0_1 (a447))) -> (c2_1 (a447)) -> (c3_1 (a447)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H6e zenon_H10 zenon_H6f zenon_H70 zenon_H71. % 1.20/1.38 generalize (zenon_H6e (a447)). zenon_intro zenon_H72. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H72); [ zenon_intro zenon_Hf | zenon_intro zenon_H73 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 1.20/1.38 exact (zenon_H6f zenon_H75). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 1.20/1.38 exact (zenon_H77 zenon_H70). % 1.20/1.38 exact (zenon_H76 zenon_H71). % 1.20/1.38 (* end of lemma zenon_L31_ *) % 1.20/1.38 assert (zenon_L32_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H1b zenon_H10 zenon_H6e zenon_H70 zenon_H71 zenon_H78. % 1.20/1.38 generalize (zenon_H1b (a447)). zenon_intro zenon_H79. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_Hf | zenon_intro zenon_H7a ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6f | zenon_intro zenon_H7b ]. % 1.20/1.38 apply (zenon_L31_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H76 ]. % 1.20/1.38 exact (zenon_H7c zenon_H78). % 1.20/1.38 exact (zenon_H76 zenon_H71). % 1.20/1.38 (* end of lemma zenon_L32_ *) % 1.20/1.38 assert (zenon_L33_ : ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H2f zenon_H78 zenon_H71 zenon_H70 zenon_H6e zenon_H10 zenon_H2b zenon_H2d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ]. % 1.20/1.38 apply (zenon_L32_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.20/1.38 exact (zenon_H2b zenon_H2c). % 1.20/1.38 exact (zenon_H2d zenon_H2e). % 1.20/1.38 (* end of lemma zenon_L33_ *) % 1.20/1.38 assert (zenon_L34_ : (~(hskp8)) -> (hskp8) -> False). % 1.20/1.38 do 0 intro. intros zenon_H7d zenon_H7e. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L34_ *) % 1.20/1.38 assert (zenon_L35_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H7f zenon_H80 zenon_H67 zenon_H66 zenon_H65 zenon_H2d zenon_H2b zenon_H2f zenon_H7d. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.38 apply (zenon_L30_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L33_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L35_ *) % 1.20/1.38 assert (zenon_L36_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H84 zenon_H85 zenon_H80 zenon_H7d zenon_H2b zenon_H2d zenon_H2f zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.38 apply (zenon_L29_); trivial. % 1.20/1.38 apply (zenon_L35_); trivial. % 1.20/1.38 (* end of lemma zenon_L36_ *) % 1.20/1.38 assert (zenon_L37_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp12)) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H88 zenon_H85 zenon_H80 zenon_H7d zenon_H2f zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H2b zenon_H2d zenon_H53. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.38 apply (zenon_L25_); trivial. % 1.20/1.38 apply (zenon_L36_); trivial. % 1.20/1.38 (* end of lemma zenon_L37_ *) % 1.20/1.38 assert (zenon_L38_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H89 zenon_H10 zenon_H8a zenon_H8b zenon_H8c. % 1.20/1.38 generalize (zenon_H89 (a457)). zenon_intro zenon_H8d. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H8d); [ zenon_intro zenon_Hf | zenon_intro zenon_H8e ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 1.20/1.38 exact (zenon_H8a zenon_H90). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 1.20/1.38 exact (zenon_H92 zenon_H8b). % 1.20/1.38 exact (zenon_H91 zenon_H8c). % 1.20/1.38 (* end of lemma zenon_L38_ *) % 1.20/1.38 assert (zenon_L39_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp6)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H84 zenon_H93 zenon_H8c zenon_H8b zenon_H8a zenon_H9. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.20/1.38 apply (zenon_L30_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.20/1.38 apply (zenon_L38_); trivial. % 1.20/1.38 exact (zenon_H9 zenon_Ha). % 1.20/1.38 (* end of lemma zenon_L39_ *) % 1.20/1.38 assert (zenon_L40_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp12)) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H95 zenon_H88 zenon_H93 zenon_H9 zenon_H2b zenon_H2d zenon_H53. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.38 apply (zenon_L25_); trivial. % 1.20/1.38 apply (zenon_L39_); trivial. % 1.20/1.38 (* end of lemma zenon_L40_ *) % 1.20/1.38 assert (zenon_L41_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H98 zenon_H93 zenon_H9 zenon_H53 zenon_H2d zenon_H2b zenon_H62 zenon_H57 zenon_H56 zenon_H55 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.38 apply (zenon_L37_); trivial. % 1.20/1.38 apply (zenon_L40_); trivial. % 1.20/1.38 (* end of lemma zenon_L41_ *) % 1.20/1.38 assert (zenon_L42_ : (~(hskp17)) -> (hskp17) -> False). % 1.20/1.38 do 0 intro. intros zenon_H99 zenon_H9a. % 1.20/1.38 exact (zenon_H99 zenon_H9a). % 1.20/1.38 (* end of lemma zenon_L42_ *) % 1.20/1.38 assert (zenon_L43_ : (~(hskp10)) -> (hskp10) -> False). % 1.20/1.38 do 0 intro. intros zenon_H9b zenon_H9c. % 1.20/1.38 exact (zenon_H9b zenon_H9c). % 1.20/1.38 (* end of lemma zenon_L43_ *) % 1.20/1.38 assert (zenon_L44_ : (~(hskp23)) -> (hskp23) -> False). % 1.20/1.38 do 0 intro. intros zenon_H9d zenon_H9e. % 1.20/1.38 exact (zenon_H9d zenon_H9e). % 1.20/1.38 (* end of lemma zenon_L44_ *) % 1.20/1.38 assert (zenon_L45_ : ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp17)) -> (~(hskp10)) -> (~(hskp23)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H9f zenon_H99 zenon_H9b zenon_H9d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha0 ]. % 1.20/1.38 exact (zenon_H99 zenon_H9a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H9e ]. % 1.20/1.38 exact (zenon_H9b zenon_H9c). % 1.20/1.38 exact (zenon_H9d zenon_H9e). % 1.20/1.38 (* end of lemma zenon_L45_ *) % 1.20/1.38 assert (zenon_L46_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c0_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H6e zenon_H10 zenon_Ha1 zenon_Ha2 zenon_Ha3. % 1.20/1.38 generalize (zenon_H6e (a451)). zenon_intro zenon_Ha4. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha5 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 1.20/1.38 exact (zenon_Ha1 zenon_Ha7). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 1.20/1.38 exact (zenon_Ha9 zenon_Ha2). % 1.20/1.38 exact (zenon_Ha8 zenon_Ha3). % 1.20/1.38 (* end of lemma zenon_L46_ *) % 1.20/1.38 assert (zenon_L47_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Haa zenon_H10 zenon_Hab zenon_H6e zenon_Ha2 zenon_Ha3. % 1.20/1.38 generalize (zenon_Haa (a451)). zenon_intro zenon_Hac. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hac); [ zenon_intro zenon_Hf | zenon_intro zenon_Had ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_Haf | zenon_intro zenon_Hae ]. % 1.20/1.38 exact (zenon_Hab zenon_Haf). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha9 ]. % 1.20/1.38 apply (zenon_L46_); trivial. % 1.20/1.38 exact (zenon_Ha9 zenon_Ha2). % 1.20/1.38 (* end of lemma zenon_L47_ *) % 1.20/1.38 assert (zenon_L48_ : (forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103)))))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hb0 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3. % 1.20/1.38 generalize (zenon_Hb0 (a484)). zenon_intro zenon_Hb4. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hb4); [ zenon_intro zenon_Hf | zenon_intro zenon_Hb5 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb6 ]. % 1.20/1.38 exact (zenon_Hb1 zenon_Hb7). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 1.20/1.38 exact (zenon_Hb2 zenon_Hb9). % 1.20/1.38 exact (zenon_Hb8 zenon_Hb3). % 1.20/1.38 (* end of lemma zenon_L48_ *) % 1.20/1.38 assert (zenon_L49_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a451))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hba zenon_Ha3 zenon_Ha2 zenon_H6e zenon_Hab zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.20/1.38 apply (zenon_L47_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.20/1.38 apply (zenon_L48_); trivial. % 1.20/1.38 exact (zenon_H51 zenon_H52). % 1.20/1.38 (* end of lemma zenon_L49_ *) % 1.20/1.38 assert (zenon_L50_ : (~(hskp21)) -> (hskp21) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hbc zenon_Hbd. % 1.20/1.38 exact (zenon_Hbc zenon_Hbd). % 1.20/1.38 (* end of lemma zenon_L50_ *) % 1.20/1.38 assert (zenon_L51_ : (~(hskp22)) -> (hskp22) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hbe zenon_Hbf. % 1.20/1.38 exact (zenon_Hbe zenon_Hbf). % 1.20/1.38 (* end of lemma zenon_L51_ *) % 1.20/1.38 assert (zenon_L52_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp24)) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp21)) -> (~(hskp22)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hc0 zenon_H51 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_Hbc zenon_Hbe. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc1 ]. % 1.20/1.38 apply (zenon_L49_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbf ]. % 1.20/1.38 exact (zenon_Hbc zenon_Hbd). % 1.20/1.38 exact (zenon_Hbe zenon_Hbf). % 1.20/1.38 (* end of lemma zenon_L52_ *) % 1.20/1.38 assert (zenon_L53_ : (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H35 zenon_H10 zenon_Hab zenon_H6e zenon_Ha2 zenon_Ha3. % 1.20/1.38 generalize (zenon_H35 (a451)). zenon_intro zenon_Hc2. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hc2); [ zenon_intro zenon_Hf | zenon_intro zenon_Hc3 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc4 ]. % 1.20/1.38 exact (zenon_Hab zenon_Haf). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha8 ]. % 1.20/1.38 apply (zenon_L46_); trivial. % 1.20/1.38 exact (zenon_Ha8 zenon_Ha3). % 1.20/1.38 (* end of lemma zenon_L53_ *) % 1.20/1.38 assert (zenon_L54_ : (~(hskp26)) -> (hskp26) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hc5 zenon_Hc6. % 1.20/1.38 exact (zenon_Hc5 zenon_Hc6). % 1.20/1.38 (* end of lemma zenon_L54_ *) % 1.20/1.38 assert (zenon_L55_ : ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hc7 zenon_Ha3 zenon_Ha2 zenon_H6e zenon_Hab zenon_H10 zenon_Hc5 zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H35 | zenon_intro zenon_Hc8 ]. % 1.20/1.38 apply (zenon_L53_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H7e ]. % 1.20/1.38 exact (zenon_Hc5 zenon_Hc6). % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L55_ *) % 1.20/1.38 assert (zenon_L56_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H80 zenon_H67 zenon_H66 zenon_H65 zenon_Hc5 zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc7 zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.38 apply (zenon_L30_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L55_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L56_ *) % 1.20/1.38 assert (zenon_L57_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hc9 zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3. % 1.20/1.38 generalize (zenon_Hc9 (a451)). zenon_intro zenon_Hca. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hca); [ zenon_intro zenon_Hf | zenon_intro zenon_Hcb ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Haf | zenon_intro zenon_Ha6 ]. % 1.20/1.38 exact (zenon_Hab zenon_Haf). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 1.20/1.38 exact (zenon_Ha9 zenon_Ha2). % 1.20/1.38 exact (zenon_Ha8 zenon_Ha3). % 1.20/1.38 (* end of lemma zenon_L57_ *) % 1.20/1.38 assert (zenon_L58_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a492))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hcc zenon_H10 zenon_Hcd zenon_Hce zenon_Hcf zenon_Hd0. % 1.20/1.38 generalize (zenon_Hcc (a492)). zenon_intro zenon_Hd1. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hd1); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd2 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 1.20/1.38 exact (zenon_Hcd zenon_Hd4). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd5 ]. % 1.20/1.38 generalize (zenon_Hce (a492)). zenon_intro zenon_Hd7. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hd7); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd8 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 1.20/1.38 exact (zenon_Hd6 zenon_Hda). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hdb ]. % 1.20/1.38 exact (zenon_Hcd zenon_Hd4). % 1.20/1.38 exact (zenon_Hdb zenon_Hcf). % 1.20/1.38 exact (zenon_Hd5 zenon_Hd0). % 1.20/1.38 (* end of lemma zenon_L58_ *) % 1.20/1.38 assert (zenon_L59_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hd0 zenon_Hcf zenon_Hce zenon_Hcd zenon_H10 zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.38 apply (zenon_L57_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L58_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L59_ *) % 1.20/1.38 assert (zenon_L60_ : (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (c1_1 (a484)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H54 zenon_H10 zenon_Hb1 zenon_Hde zenon_Hb3. % 1.20/1.38 generalize (zenon_H54 (a484)). zenon_intro zenon_Hdf. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_Hf | zenon_intro zenon_He0 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hb7 | zenon_intro zenon_He1 ]. % 1.20/1.38 exact (zenon_Hb1 zenon_Hb7). % 1.20/1.38 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He2 | zenon_intro zenon_Hb8 ]. % 1.20/1.38 generalize (zenon_Hde (a484)). zenon_intro zenon_He3. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_He3); [ zenon_intro zenon_Hf | zenon_intro zenon_He4 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He6 | zenon_intro zenon_He5 ]. % 1.20/1.38 exact (zenon_He2 zenon_He6). % 1.20/1.38 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb8 ]. % 1.20/1.38 exact (zenon_Hb1 zenon_Hb7). % 1.20/1.38 exact (zenon_Hb8 zenon_Hb3). % 1.20/1.38 exact (zenon_Hb8 zenon_Hb3). % 1.20/1.38 (* end of lemma zenon_L60_ *) % 1.20/1.38 assert (zenon_L61_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp8)) -> (~(c3_1 (a492))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.20/1.38 do 0 intro. intros zenon_He7 zenon_H7d zenon_Hcd zenon_Hcf zenon_Hd0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_Hb3 zenon_Hde zenon_Hb1 zenon_H10 zenon_H99. % 1.20/1.38 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hce | zenon_intro zenon_He8 ]. % 1.20/1.38 apply (zenon_L59_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H54 | zenon_intro zenon_H9a ]. % 1.20/1.38 apply (zenon_L60_); trivial. % 1.20/1.38 exact (zenon_H99 zenon_H9a). % 1.20/1.38 (* end of lemma zenon_L61_ *) % 1.20/1.38 assert (zenon_L62_ : (~(hskp2)) -> (hskp2) -> False). % 1.20/1.38 do 0 intro. intros zenon_He9 zenon_Hea. % 1.20/1.38 exact (zenon_He9 zenon_Hea). % 1.20/1.38 (* end of lemma zenon_L62_ *) % 1.20/1.38 assert (zenon_L63_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H84 zenon_Heb zenon_Hec zenon_He9 zenon_H1 zenon_Hdc zenon_Hb1 zenon_Hb3 zenon_H99 zenon_He7 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.38 apply (zenon_L56_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.38 apply (zenon_L61_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.38 exact (zenon_H1 zenon_H2). % 1.20/1.38 exact (zenon_He9 zenon_Hea). % 1.20/1.38 (* end of lemma zenon_L63_ *) % 1.20/1.38 assert (zenon_L64_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_Heb zenon_Hec zenon_He9 zenon_H1 zenon_Hdc zenon_He7 zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H99 zenon_H9b zenon_H9f. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.38 apply (zenon_L45_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.38 apply (zenon_L52_); trivial. % 1.20/1.38 apply (zenon_L63_); trivial. % 1.20/1.38 (* end of lemma zenon_L64_ *) % 1.20/1.38 assert (zenon_L65_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hf5 zenon_H10 zenon_Hf6 zenon_Hf7 zenon_Hf8. % 1.20/1.38 generalize (zenon_Hf5 (a475)). zenon_intro zenon_Hf9. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hf9); [ zenon_intro zenon_Hf | zenon_intro zenon_Hfa ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 1.20/1.38 exact (zenon_Hf6 zenon_Hfc). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfe | zenon_intro zenon_Hfd ]. % 1.20/1.38 exact (zenon_Hf7 zenon_Hfe). % 1.20/1.38 exact (zenon_Hfd zenon_Hf8). % 1.20/1.38 (* end of lemma zenon_L65_ *) % 1.20/1.38 assert (zenon_L66_ : (~(hskp0)) -> (hskp0) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hff zenon_H100. % 1.20/1.38 exact (zenon_Hff zenon_H100). % 1.20/1.38 (* end of lemma zenon_L66_ *) % 1.20/1.38 assert (zenon_L67_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp0)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H101 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H10 zenon_H31 zenon_Hff. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H102 ]. % 1.20/1.38 apply (zenon_L65_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H32 | zenon_intro zenon_H100 ]. % 1.20/1.38 exact (zenon_H31 zenon_H32). % 1.20/1.38 exact (zenon_Hff zenon_H100). % 1.20/1.38 (* end of lemma zenon_L67_ *) % 1.20/1.38 assert (zenon_L68_ : ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hc7 zenon_H38 zenon_H37 zenon_H10 zenon_H1b zenon_Hc5 zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H35 | zenon_intro zenon_Hc8 ]. % 1.20/1.38 apply (zenon_L18_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H7e ]. % 1.20/1.38 exact (zenon_Hc5 zenon_Hc6). % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L68_ *) % 1.20/1.38 assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp26)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp24)) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H46 zenon_H103 zenon_Hc5 zenon_Hc7 zenon_H51 zenon_H7d. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H1b | zenon_intro zenon_H104 ]. % 1.20/1.38 apply (zenon_L68_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H52 | zenon_intro zenon_H7e ]. % 1.20/1.38 exact (zenon_H51 zenon_H52). % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L69_ *) % 1.20/1.38 assert (zenon_L70_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp24)) -> (~(hskp26)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H4d zenon_H103 zenon_H51 zenon_Hc5 zenon_H7d zenon_Hc7 zenon_H10 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.38 apply (zenon_L67_); trivial. % 1.20/1.38 apply (zenon_L69_); trivial. % 1.20/1.38 (* end of lemma zenon_L70_ *) % 1.20/1.38 assert (zenon_L71_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a492))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hcc zenon_H10 zenon_Hcd zenon_H64 zenon_Hd0 zenon_Hcf. % 1.20/1.38 generalize (zenon_Hcc (a492)). zenon_intro zenon_Hd1. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hd1); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd2 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 1.20/1.38 exact (zenon_Hcd zenon_Hd4). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd5 ]. % 1.20/1.38 generalize (zenon_H64 (a492)). zenon_intro zenon_H105. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H105); [ zenon_intro zenon_Hf | zenon_intro zenon_H106 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 1.20/1.38 exact (zenon_Hd6 zenon_Hda). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hdb ]. % 1.20/1.38 exact (zenon_Hd5 zenon_Hd0). % 1.20/1.38 exact (zenon_Hdb zenon_Hcf). % 1.20/1.38 exact (zenon_Hd5 zenon_Hd0). % 1.20/1.38 (* end of lemma zenon_L71_ *) % 1.20/1.38 assert (zenon_L72_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hcf zenon_Hd0 zenon_H64 zenon_Hcd zenon_H10 zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.38 apply (zenon_L57_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L71_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L72_ *) % 1.20/1.38 assert (zenon_L73_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hed zenon_H80 zenon_Hdc zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H7d. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.38 apply (zenon_L72_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L49_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L73_ *) % 1.20/1.38 assert (zenon_L74_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_Heb zenon_H80 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hba zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H101 zenon_Hff zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H10 zenon_Hc7 zenon_H7d zenon_H51 zenon_H103 zenon_H4d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.38 apply (zenon_L70_); trivial. % 1.20/1.38 apply (zenon_L73_); trivial. % 1.20/1.38 (* end of lemma zenon_L74_ *) % 1.20/1.38 assert (zenon_L75_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_Hec zenon_He9 zenon_H1 zenon_H99 zenon_He7 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H80 zenon_Heb. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.38 apply (zenon_L74_); trivial. % 1.20/1.38 apply (zenon_L63_); trivial. % 1.20/1.38 (* end of lemma zenon_L75_ *) % 1.20/1.38 assert (zenon_L76_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a474))) -> (c0_1 (a474)) -> (c1_1 (a474)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hcc zenon_H10 zenon_H108 zenon_H109 zenon_H10a. % 1.20/1.38 generalize (zenon_Hcc (a474)). zenon_intro zenon_H10b. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H10b); [ zenon_intro zenon_Hf | zenon_intro zenon_H10c ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ]. % 1.20/1.38 exact (zenon_H108 zenon_H10e). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ]. % 1.20/1.38 exact (zenon_H110 zenon_H109). % 1.20/1.38 exact (zenon_H10f zenon_H10a). % 1.20/1.38 (* end of lemma zenon_L76_ *) % 1.20/1.38 assert (zenon_L77_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H111 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H7d. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.38 apply (zenon_L57_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L76_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L77_ *) % 1.20/1.38 assert (zenon_L78_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (c3_1 (a463)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H114 zenon_H10 zenon_H115 zenon_H116 zenon_H117. % 1.20/1.38 generalize (zenon_H114 (a463)). zenon_intro zenon_H118. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H118); [ zenon_intro zenon_Hf | zenon_intro zenon_H119 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ]. % 1.20/1.38 exact (zenon_H11b zenon_H115). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11d | zenon_intro zenon_H11c ]. % 1.20/1.38 exact (zenon_H11d zenon_H116). % 1.20/1.38 exact (zenon_H11c zenon_H117). % 1.20/1.38 (* end of lemma zenon_L78_ *) % 1.20/1.38 assert (zenon_L79_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H11e zenon_H10 zenon_H11f zenon_H114 zenon_H115 zenon_H116. % 1.20/1.38 generalize (zenon_H11e (a463)). zenon_intro zenon_H120. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_Hf | zenon_intro zenon_H121 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H123 | zenon_intro zenon_H122 ]. % 1.20/1.38 exact (zenon_H11f zenon_H123). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H117 | zenon_intro zenon_H11d ]. % 1.20/1.38 apply (zenon_L78_); trivial. % 1.20/1.38 exact (zenon_H11d zenon_H116). % 1.20/1.38 (* end of lemma zenon_L79_ *) % 1.20/1.38 assert (zenon_L80_ : ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (~(hskp29)) -> (~(hskp0)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H124 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H11e zenon_H5e zenon_Hff. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H114 | zenon_intro zenon_H125 ]. % 1.20/1.38 apply (zenon_L79_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H5f | zenon_intro zenon_H100 ]. % 1.20/1.38 exact (zenon_H5e zenon_H5f). % 1.20/1.38 exact (zenon_Hff zenon_H100). % 1.20/1.38 (* end of lemma zenon_L80_ *) % 1.20/1.38 assert (zenon_L81_ : (~(hskp7)) -> (hskp7) -> False). % 1.20/1.38 do 0 intro. intros zenon_H126 zenon_H127. % 1.20/1.38 exact (zenon_H126 zenon_H127). % 1.20/1.38 (* end of lemma zenon_L81_ *) % 1.20/1.38 assert (zenon_L82_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp0)) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H128 zenon_Hff zenon_H5e zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_H124 zenon_H9d zenon_H126. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.20/1.38 apply (zenon_L80_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.20/1.38 exact (zenon_H9d zenon_H9e). % 1.20/1.38 exact (zenon_H126 zenon_H127). % 1.20/1.38 (* end of lemma zenon_L82_ *) % 1.20/1.38 assert (zenon_L83_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Haa zenon_H10 zenon_H11f zenon_H115 zenon_H116. % 1.20/1.38 generalize (zenon_Haa (a463)). zenon_intro zenon_H12a. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H12a); [ zenon_intro zenon_Hf | zenon_intro zenon_H12b ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H123 | zenon_intro zenon_H12c ]. % 1.20/1.38 exact (zenon_H11f zenon_H123). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H11b | zenon_intro zenon_H11d ]. % 1.20/1.38 exact (zenon_H11b zenon_H115). % 1.20/1.38 exact (zenon_H11d zenon_H116). % 1.20/1.38 (* end of lemma zenon_L83_ *) % 1.20/1.38 assert (zenon_L84_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hba zenon_H116 zenon_H115 zenon_H11f zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.20/1.38 apply (zenon_L83_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.20/1.38 apply (zenon_L48_); trivial. % 1.20/1.38 exact (zenon_H51 zenon_H52). % 1.20/1.38 (* end of lemma zenon_L84_ *) % 1.20/1.38 assert (zenon_L85_ : (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H54 zenon_H10 zenon_Hb1 zenon_H12d zenon_Hb2 zenon_Hb3. % 1.20/1.38 generalize (zenon_H54 (a484)). zenon_intro zenon_Hdf. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_Hf | zenon_intro zenon_He0 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hb7 | zenon_intro zenon_He1 ]. % 1.20/1.38 exact (zenon_Hb1 zenon_Hb7). % 1.20/1.38 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He2 | zenon_intro zenon_Hb8 ]. % 1.20/1.38 generalize (zenon_H12d (a484)). zenon_intro zenon_H12e. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H12e); [ zenon_intro zenon_Hf | zenon_intro zenon_H12f ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_He6 | zenon_intro zenon_Hb6 ]. % 1.20/1.38 exact (zenon_He2 zenon_He6). % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 1.20/1.38 exact (zenon_Hb2 zenon_Hb9). % 1.20/1.38 exact (zenon_Hb8 zenon_Hb3). % 1.20/1.38 exact (zenon_Hb8 zenon_Hb3). % 1.20/1.38 (* end of lemma zenon_L85_ *) % 1.20/1.38 assert (zenon_L86_ : ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp16)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H62 zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H5e zenon_H60. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H54 | zenon_intro zenon_H63 ]. % 1.20/1.38 apply (zenon_L85_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H5f | zenon_intro zenon_H61 ]. % 1.20/1.38 exact (zenon_H5e zenon_H5f). % 1.20/1.38 exact (zenon_H60 zenon_H61). % 1.20/1.38 (* end of lemma zenon_L86_ *) % 1.20/1.38 assert (zenon_L87_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp0)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H130 zenon_H60 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H62 zenon_H67 zenon_H66 zenon_H65 zenon_H124 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H5e zenon_Hff. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.20/1.38 apply (zenon_L86_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.20/1.38 apply (zenon_L30_); trivial. % 1.20/1.38 apply (zenon_L80_); trivial. % 1.20/1.38 (* end of lemma zenon_L87_ *) % 1.20/1.38 assert (zenon_L88_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H80 zenon_H7d zenon_H2b zenon_H2d zenon_H2f zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.38 apply (zenon_L84_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.38 apply (zenon_L87_); trivial. % 1.20/1.38 apply (zenon_L35_); trivial. % 1.20/1.38 (* end of lemma zenon_L88_ *) % 1.20/1.38 assert (zenon_L89_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hf1 zenon_H62 zenon_H60 zenon_H130 zenon_Hba zenon_H53 zenon_H2d zenon_H2b zenon_H128 zenon_H126 zenon_H11f zenon_H115 zenon_H116 zenon_Hff zenon_H124 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.38 apply (zenon_L25_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.38 apply (zenon_L82_); trivial. % 1.20/1.38 apply (zenon_L35_); trivial. % 1.20/1.38 apply (zenon_L88_); trivial. % 1.20/1.38 (* end of lemma zenon_L89_ *) % 1.20/1.38 assert (zenon_L90_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H62 zenon_H60 zenon_H130 zenon_Hba zenon_H53 zenon_H2d zenon_H2b zenon_H128 zenon_H126 zenon_Hff zenon_H124 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.38 apply (zenon_L89_); trivial. % 1.20/1.38 (* end of lemma zenon_L90_ *) % 1.20/1.38 assert (zenon_L91_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H1b zenon_H10 zenon_Hde zenon_H8a zenon_H8b zenon_H8c. % 1.20/1.38 generalize (zenon_H1b (a457)). zenon_intro zenon_H135. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H135); [ zenon_intro zenon_Hf | zenon_intro zenon_H136 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H8f ]. % 1.20/1.38 generalize (zenon_Hde (a457)). zenon_intro zenon_H138. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H138); [ zenon_intro zenon_Hf | zenon_intro zenon_H139 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 1.20/1.38 exact (zenon_H137 zenon_H13b). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H90 | zenon_intro zenon_H92 ]. % 1.20/1.38 exact (zenon_H8a zenon_H90). % 1.20/1.38 exact (zenon_H92 zenon_H8b). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 1.20/1.38 exact (zenon_H92 zenon_H8b). % 1.20/1.38 exact (zenon_H91 zenon_H8c). % 1.20/1.38 (* end of lemma zenon_L91_ *) % 1.20/1.38 assert (zenon_L92_ : (~(hskp25)) -> (hskp25) -> False). % 1.20/1.38 do 0 intro. intros zenon_H13c zenon_H13d. % 1.20/1.38 exact (zenon_H13c zenon_H13d). % 1.20/1.38 (* end of lemma zenon_L92_ *) % 1.20/1.38 assert (zenon_L93_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(hskp25)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_Hde zenon_H10 zenon_H13c. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H89 | zenon_intro zenon_H13f ]. % 1.20/1.38 apply (zenon_L38_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H1b | zenon_intro zenon_H13d ]. % 1.20/1.38 apply (zenon_L91_); trivial. % 1.20/1.38 exact (zenon_H13c zenon_H13d). % 1.20/1.38 (* end of lemma zenon_L93_ *) % 1.20/1.38 assert (zenon_L94_ : (~(hskp15)) -> (hskp15) -> False). % 1.20/1.38 do 0 intro. intros zenon_H140 zenon_H141. % 1.20/1.38 exact (zenon_H140 zenon_H141). % 1.20/1.38 (* end of lemma zenon_L94_ *) % 1.20/1.38 assert (zenon_L95_ : (~(hskp9)) -> (hskp9) -> False). % 1.20/1.38 do 0 intro. intros zenon_H142 zenon_H143. % 1.20/1.38 exact (zenon_H142 zenon_H143). % 1.20/1.38 (* end of lemma zenon_L95_ *) % 1.20/1.38 assert (zenon_L96_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c0_1 (a489))) -> (c2_1 (a489)) -> (c3_1 (a489)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H6e zenon_H10 zenon_H144 zenon_H145 zenon_H146. % 1.20/1.38 generalize (zenon_H6e (a489)). zenon_intro zenon_H147. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H147); [ zenon_intro zenon_Hf | zenon_intro zenon_H148 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ]. % 1.20/1.38 exact (zenon_H144 zenon_H14a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ]. % 1.20/1.38 exact (zenon_H14c zenon_H145). % 1.20/1.38 exact (zenon_H14b zenon_H146). % 1.20/1.38 (* end of lemma zenon_L96_ *) % 1.20/1.38 assert (zenon_L97_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H14d zenon_H14e zenon_H7d zenon_Hff. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H6e | zenon_intro zenon_H151 ]. % 1.20/1.38 apply (zenon_L96_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_H100 ]. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 exact (zenon_Hff zenon_H100). % 1.20/1.38 (* end of lemma zenon_L97_ *) % 1.20/1.38 assert (zenon_L98_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H95 zenon_H152 zenon_H14e zenon_Hff zenon_H7d zenon_H13e zenon_H140 zenon_H142 zenon_H153. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hde | zenon_intro zenon_H154 ]. % 1.20/1.38 apply (zenon_L93_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H141 | zenon_intro zenon_H143 ]. % 1.20/1.38 exact (zenon_H140 zenon_H141). % 1.20/1.38 exact (zenon_H142 zenon_H143). % 1.20/1.38 apply (zenon_L97_); trivial. % 1.20/1.38 (* end of lemma zenon_L98_ *) % 1.20/1.38 assert (zenon_L99_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a454))) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (c3_1 (a454)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H25 zenon_H10 zenon_H155 zenon_Hc9 zenon_H156. % 1.20/1.38 generalize (zenon_H25 (a454)). zenon_intro zenon_H157. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_Hf | zenon_intro zenon_H158 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 1.20/1.38 exact (zenon_H155 zenon_H15a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H15c | zenon_intro zenon_H15b ]. % 1.20/1.38 generalize (zenon_Hc9 (a454)). zenon_intro zenon_H15d. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H15d); [ zenon_intro zenon_Hf | zenon_intro zenon_H15e ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15a | zenon_intro zenon_H15f ]. % 1.20/1.38 exact (zenon_H155 zenon_H15a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H160 | zenon_intro zenon_H15b ]. % 1.20/1.38 exact (zenon_H160 zenon_H15c). % 1.20/1.38 exact (zenon_H15b zenon_H156). % 1.20/1.38 exact (zenon_H15b zenon_H156). % 1.20/1.38 (* end of lemma zenon_L99_ *) % 1.20/1.38 assert (zenon_L100_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.20/1.38 do 0 intro. intros zenon_He7 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hcc zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H99. % 1.20/1.38 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hce | zenon_intro zenon_He8 ]. % 1.20/1.38 apply (zenon_L58_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H54 | zenon_intro zenon_H9a ]. % 1.20/1.38 apply (zenon_L85_); trivial. % 1.20/1.38 exact (zenon_H99 zenon_H9a). % 1.20/1.38 (* end of lemma zenon_L100_ *) % 1.20/1.38 assert (zenon_L101_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c3_1 (a492))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hdc zenon_H156 zenon_H155 zenon_H25 zenon_H99 zenon_H10 zenon_Hb1 zenon_H12d zenon_Hb2 zenon_Hb3 zenon_Hcd zenon_Hcf zenon_Hd0 zenon_He7 zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.38 apply (zenon_L99_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L100_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L101_ *) % 1.20/1.38 assert (zenon_L102_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H161 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_H155 zenon_H156 zenon_Hdc zenon_He7 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H99. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.38 apply (zenon_L59_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.38 apply (zenon_L101_); trivial. % 1.20/1.38 apply (zenon_L100_); trivial. % 1.20/1.38 (* end of lemma zenon_L102_ *) % 1.20/1.38 assert (zenon_L103_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H84 zenon_Heb zenon_H163 zenon_H142 zenon_Hdc zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H99 zenon_He7 zenon_H156 zenon_H155 zenon_H161 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.38 apply (zenon_L56_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H12d | zenon_intro zenon_H164 ]. % 1.20/1.38 apply (zenon_L102_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hce | zenon_intro zenon_H143 ]. % 1.20/1.38 apply (zenon_L59_); trivial. % 1.20/1.38 exact (zenon_H142 zenon_H143). % 1.20/1.38 (* end of lemma zenon_L103_ *) % 1.20/1.38 assert (zenon_L104_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H163 zenon_H142 zenon_H99 zenon_He7 zenon_H156 zenon_H155 zenon_H161 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H80 zenon_Heb. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.38 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.38 apply (zenon_L74_); trivial. % 1.20/1.38 apply (zenon_L103_); trivial. % 1.20/1.38 (* end of lemma zenon_L104_ *) % 1.20/1.38 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H165 zenon_H98 zenon_H93 zenon_H9 zenon_H53 zenon_H2d zenon_H2b zenon_H62 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.38 apply (zenon_L41_); trivial. % 1.20/1.38 (* end of lemma zenon_L105_ *) % 1.20/1.38 assert (zenon_L106_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp12)) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H168 zenon_H98 zenon_H152 zenon_H14e zenon_H13e zenon_H142 zenon_H153 zenon_H169 zenon_Hf1 zenon_H88 zenon_Heb zenon_Hec zenon_He9 zenon_Hdc zenon_He7 zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H9b zenon_H9f zenon_H101 zenon_Hff zenon_H103 zenon_H4d zenon_H16a zenon_H85 zenon_H2f zenon_H124 zenon_H126 zenon_H128 zenon_H2b zenon_H2d zenon_H53 zenon_H130 zenon_H62 zenon_H16b zenon_H163 zenon_H161 zenon_H9 zenon_H93 zenon_H16c. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.38 apply (zenon_L64_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.38 apply (zenon_L45_); trivial. % 1.20/1.38 apply (zenon_L75_); trivial. % 1.20/1.38 apply (zenon_L77_); trivial. % 1.20/1.38 apply (zenon_L90_); trivial. % 1.20/1.38 apply (zenon_L98_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.38 apply (zenon_L64_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.38 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.38 apply (zenon_L45_); trivial. % 1.20/1.38 apply (zenon_L104_); trivial. % 1.20/1.38 apply (zenon_L77_); trivial. % 1.20/1.38 apply (zenon_L90_); trivial. % 1.20/1.38 apply (zenon_L40_); trivial. % 1.20/1.38 apply (zenon_L105_); trivial. % 1.20/1.38 (* end of lemma zenon_L106_ *) % 1.20/1.38 assert (zenon_L107_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> False). % 1.20/1.38 do 0 intro. intros zenon_Hde zenon_H10 zenon_H174 zenon_H6e zenon_H175 zenon_H176. % 1.20/1.38 generalize (zenon_Hde (a450)). zenon_intro zenon_H177. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H177); [ zenon_intro zenon_Hf | zenon_intro zenon_H178 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H17a | zenon_intro zenon_H179 ]. % 1.20/1.38 exact (zenon_H174 zenon_H17a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 1.20/1.38 generalize (zenon_H6e (a450)). zenon_intro zenon_H17d. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_Hf | zenon_intro zenon_H17e ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H17a | zenon_intro zenon_H17f ]. % 1.20/1.38 exact (zenon_H174 zenon_H17a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 1.20/1.38 exact (zenon_H181 zenon_H17c). % 1.20/1.38 exact (zenon_H180 zenon_H175). % 1.20/1.38 exact (zenon_H17b zenon_H176). % 1.20/1.38 (* end of lemma zenon_L107_ *) % 1.20/1.38 assert (zenon_L108_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp8)) -> (~(hskp0)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H14e zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_Hde zenon_H7d zenon_Hff. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H6e | zenon_intro zenon_H151 ]. % 1.20/1.38 apply (zenon_L107_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_H100 ]. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 exact (zenon_Hff zenon_H100). % 1.20/1.38 (* end of lemma zenon_L108_ *) % 1.20/1.38 assert (zenon_L109_ : (~(hskp11)) -> (hskp11) -> False). % 1.20/1.38 do 0 intro. intros zenon_H182 zenon_H183. % 1.20/1.38 exact (zenon_H182 zenon_H183). % 1.20/1.38 (* end of lemma zenon_L109_ *) % 1.20/1.38 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp0)) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp11)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H184 zenon_H185 zenon_Hff zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H14e zenon_H182. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.38 apply (zenon_L108_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.38 apply (zenon_L9_); trivial. % 1.20/1.38 exact (zenon_H182 zenon_H183). % 1.20/1.38 (* end of lemma zenon_L110_ *) % 1.20/1.38 assert (zenon_L111_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H189 zenon_H185 zenon_H182 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_Hff zenon_H14e zenon_H1 zenon_H5 zenon_H7. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.38 apply (zenon_L4_); trivial. % 1.20/1.38 apply (zenon_L110_); trivial. % 1.20/1.38 (* end of lemma zenon_L111_ *) % 1.20/1.38 assert (zenon_L112_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H64 zenon_H10 zenon_H1b zenon_H78 zenon_H71 zenon_H70. % 1.20/1.38 generalize (zenon_H64 (a447)). zenon_intro zenon_H18a. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H18a); [ zenon_intro zenon_Hf | zenon_intro zenon_H18b ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H75 | zenon_intro zenon_H18c ]. % 1.20/1.38 generalize (zenon_H1b (a447)). zenon_intro zenon_H79. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_Hf | zenon_intro zenon_H7a ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6f | zenon_intro zenon_H7b ]. % 1.20/1.38 exact (zenon_H6f zenon_H75). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H76 ]. % 1.20/1.38 exact (zenon_H7c zenon_H78). % 1.20/1.38 exact (zenon_H76 zenon_H71). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H7c | zenon_intro zenon_H77 ]. % 1.20/1.38 exact (zenon_H7c zenon_H78). % 1.20/1.38 exact (zenon_H77 zenon_H70). % 1.20/1.38 (* end of lemma zenon_L112_ *) % 1.20/1.38 assert (zenon_L113_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H80 zenon_H70 zenon_H71 zenon_H78 zenon_H1b zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_Hde zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.38 apply (zenon_L112_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L107_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L113_ *) % 1.20/1.38 assert (zenon_L114_ : ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp24)) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H103 zenon_Hde zenon_H10 zenon_H174 zenon_H175 zenon_H176 zenon_H78 zenon_H71 zenon_H70 zenon_H80 zenon_H51 zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H1b | zenon_intro zenon_H104 ]. % 1.20/1.38 apply (zenon_L113_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H52 | zenon_intro zenon_H7e ]. % 1.20/1.38 exact (zenon_H51 zenon_H52). % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L114_ *) % 1.20/1.38 assert (zenon_L115_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H11 zenon_H10 zenon_H1b zenon_H1c zenon_H1e zenon_H26. % 1.20/1.38 generalize (zenon_H11 (a472)). zenon_intro zenon_H18d. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H18d); [ zenon_intro zenon_Hf | zenon_intro zenon_H18e ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H1d | zenon_intro zenon_H18f ]. % 1.20/1.38 apply (zenon_L10_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H2a | zenon_intro zenon_H22 ]. % 1.20/1.38 exact (zenon_H26 zenon_H2a). % 1.20/1.38 exact (zenon_H22 zenon_H1c). % 1.20/1.38 (* end of lemma zenon_L115_ *) % 1.20/1.38 assert (zenon_L116_ : ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26)))))) -> (~(hskp19)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H190 zenon_H26 zenon_H1e zenon_H1c zenon_H10 zenon_H11 zenon_H3. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H42 | zenon_intro zenon_H191 ]. % 1.20/1.38 apply (zenon_L20_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H1b | zenon_intro zenon_H4 ]. % 1.20/1.38 apply (zenon_L115_); trivial. % 1.20/1.38 exact (zenon_H3 zenon_H4). % 1.20/1.38 (* end of lemma zenon_L116_ *) % 1.20/1.38 assert (zenon_L117_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H85 zenon_H185 zenon_H182 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H51 zenon_H103 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.38 apply (zenon_L29_); trivial. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.38 apply (zenon_L114_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.38 apply (zenon_L116_); trivial. % 1.20/1.38 exact (zenon_H182 zenon_H183). % 1.20/1.38 (* end of lemma zenon_L117_ *) % 1.20/1.38 assert (zenon_L118_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H80 zenon_H67 zenon_H66 zenon_H65 zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_Hde zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.38 apply (zenon_L30_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L107_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L118_ *) % 1.20/1.38 assert (zenon_L119_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp19)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H84 zenon_H185 zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H3 zenon_H1c zenon_H1e zenon_H26 zenon_H190 zenon_H182. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.38 apply (zenon_L118_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.38 apply (zenon_L116_); trivial. % 1.20/1.38 exact (zenon_H182 zenon_H183). % 1.20/1.38 (* end of lemma zenon_L119_ *) % 1.20/1.38 assert (zenon_L120_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.38 do 0 intro. intros zenon_H4c zenon_H88 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H103 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H85. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.38 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.38 apply (zenon_L117_); trivial. % 1.20/1.38 apply (zenon_L119_); trivial. % 1.20/1.38 (* end of lemma zenon_L120_ *) % 1.20/1.38 assert (zenon_L121_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp25)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp19)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H185 zenon_H13c zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H3 zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H190 zenon_H182. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.38 apply (zenon_L93_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.38 apply (zenon_L116_); trivial. % 1.20/1.38 exact (zenon_H182 zenon_H183). % 1.20/1.38 (* end of lemma zenon_L121_ *) % 1.20/1.38 assert (zenon_L122_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a489))) -> (~(c1_1 (a489))) -> (c3_1 (a489)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H192 zenon_H10 zenon_H144 zenon_H193 zenon_H146. % 1.20/1.38 generalize (zenon_H192 (a489)). zenon_intro zenon_H194. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H194); [ zenon_intro zenon_Hf | zenon_intro zenon_H195 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H14a | zenon_intro zenon_H196 ]. % 1.20/1.38 exact (zenon_H144 zenon_H14a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H197 | zenon_intro zenon_H14b ]. % 1.20/1.38 exact (zenon_H193 zenon_H197). % 1.20/1.38 exact (zenon_H14b zenon_H146). % 1.20/1.38 (* end of lemma zenon_L122_ *) % 1.20/1.38 assert (zenon_L123_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a489))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (c3_1 (a489)) -> (c2_1 (a489)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H64 zenon_H10 zenon_H144 zenon_H192 zenon_H146 zenon_H145. % 1.20/1.38 generalize (zenon_H64 (a489)). zenon_intro zenon_H198. % 1.20/1.38 apply (zenon_imply_s _ _ zenon_H198); [ zenon_intro zenon_Hf | zenon_intro zenon_H199 ]. % 1.20/1.38 exact (zenon_Hf zenon_H10). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H14a | zenon_intro zenon_H19a ]. % 1.20/1.38 exact (zenon_H144 zenon_H14a). % 1.20/1.38 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H193 | zenon_intro zenon_H14c ]. % 1.20/1.38 apply (zenon_L122_); trivial. % 1.20/1.38 exact (zenon_H14c zenon_H145). % 1.20/1.38 (* end of lemma zenon_L123_ *) % 1.20/1.38 assert (zenon_L124_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (c3_1 (a489)) -> (c2_1 (a489)) -> (~(c0_1 (a489))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.20/1.38 do 0 intro. intros zenon_H80 zenon_H192 zenon_H146 zenon_H145 zenon_H144 zenon_H10 zenon_H7d. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.38 apply (zenon_L123_); trivial. % 1.20/1.38 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.38 apply (zenon_L96_); trivial. % 1.20/1.38 exact (zenon_H7d zenon_H7e). % 1.20/1.38 (* end of lemma zenon_L124_ *) % 1.20/1.38 assert (zenon_L125_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H14d zenon_H19b zenon_H80 zenon_H7d zenon_H142. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H192 | zenon_intro zenon_H19c ]. % 1.20/1.39 apply (zenon_L124_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H7e | zenon_intro zenon_H143 ]. % 1.20/1.39 exact (zenon_H7d zenon_H7e). % 1.20/1.39 exact (zenon_H142 zenon_H143). % 1.20/1.39 (* end of lemma zenon_L125_ *) % 1.20/1.39 assert (zenon_L126_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H4c zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H3 zenon_H182 zenon_H185. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.39 apply (zenon_L121_); trivial. % 1.20/1.39 apply (zenon_L125_); trivial. % 1.20/1.39 (* end of lemma zenon_L126_ *) % 1.20/1.39 assert (zenon_L127_ : ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp8)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H103 zenon_H8c zenon_H8b zenon_H8a zenon_Hde zenon_H10 zenon_H51 zenon_H7d. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H1b | zenon_intro zenon_H104 ]. % 1.20/1.39 apply (zenon_L91_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H52 | zenon_intro zenon_H7e ]. % 1.20/1.39 exact (zenon_H51 zenon_H52). % 1.20/1.39 exact (zenon_H7d zenon_H7e). % 1.20/1.39 (* end of lemma zenon_L127_ *) % 1.20/1.39 assert (zenon_L128_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp25)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H185 zenon_H13c zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H182. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.39 apply (zenon_L93_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.39 apply (zenon_L9_); trivial. % 1.20/1.39 exact (zenon_H182 zenon_H183). % 1.20/1.39 (* end of lemma zenon_L128_ *) % 1.20/1.39 assert (zenon_L129_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(hskp8)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H14d zenon_H80 zenon_H67 zenon_H66 zenon_H65 zenon_H7d. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.39 apply (zenon_L30_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.39 apply (zenon_L96_); trivial. % 1.20/1.39 exact (zenon_H7d zenon_H7e). % 1.20/1.39 (* end of lemma zenon_L129_ *) % 1.20/1.39 assert (zenon_L130_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H184 zenon_H88 zenon_H152 zenon_H80 zenon_H13e zenon_H103 zenon_H7d zenon_H8c zenon_H8b zenon_H8a zenon_H182 zenon_H185. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.39 apply (zenon_L127_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.39 apply (zenon_L9_); trivial. % 1.20/1.39 exact (zenon_H182 zenon_H183). % 1.20/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.39 apply (zenon_L128_); trivial. % 1.20/1.39 apply (zenon_L129_); trivial. % 1.20/1.39 (* end of lemma zenon_L130_ *) % 1.20/1.39 assert (zenon_L131_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H189 zenon_H88 zenon_H103 zenon_Hd zenon_H5 zenon_H9 zenon_H185 zenon_H182 zenon_H190 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152 zenon_H50. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.39 apply (zenon_L7_); trivial. % 1.20/1.39 apply (zenon_L126_); trivial. % 1.20/1.39 apply (zenon_L130_); trivial. % 1.20/1.39 (* end of lemma zenon_L131_ *) % 1.20/1.39 assert (zenon_L132_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H95 zenon_H189 zenon_H88 zenon_H103 zenon_Hd zenon_H5 zenon_H9 zenon_H185 zenon_H182 zenon_H190 zenon_H13e zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152 zenon_H50. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.39 apply (zenon_L131_); trivial. % 1.20/1.39 (* end of lemma zenon_L132_ *) % 1.20/1.39 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H165 zenon_H98 zenon_H13e zenon_H142 zenon_H19b zenon_H152 zenon_H50 zenon_H88 zenon_H62 zenon_H103 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H190 zenon_H182 zenon_H185 zenon_H85 zenon_H9 zenon_H5 zenon_Hd zenon_H14e zenon_Hff zenon_H189. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.39 apply (zenon_L7_); trivial. % 1.20/1.39 apply (zenon_L120_); trivial. % 1.20/1.39 apply (zenon_L110_); trivial. % 1.20/1.39 apply (zenon_L132_); trivial. % 1.20/1.39 (* end of lemma zenon_L133_ *) % 1.20/1.39 assert (zenon_L134_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H168 zenon_H98 zenon_H13e zenon_H142 zenon_H19b zenon_H152 zenon_H50 zenon_H88 zenon_H62 zenon_H103 zenon_H80 zenon_H190 zenon_H85 zenon_H9 zenon_Hd zenon_H7 zenon_H5 zenon_H14e zenon_Hff zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H189. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.39 apply (zenon_L111_); trivial. % 1.20/1.39 apply (zenon_L133_); trivial. % 1.20/1.39 (* end of lemma zenon_L134_ *) % 1.20/1.39 assert (zenon_L135_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp21)) -> (~(hskp22)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hc0 zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_Hde zenon_Hbc zenon_Hbe. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc1 ]. % 1.20/1.39 apply (zenon_L107_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbf ]. % 1.20/1.39 exact (zenon_Hbc zenon_Hbd). % 1.20/1.39 exact (zenon_Hbe zenon_Hbf). % 1.20/1.39 (* end of lemma zenon_L135_ *) % 1.20/1.39 assert (zenon_L136_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp22)) -> (~(hskp21)) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp14)) -> (~(hskp2)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hec zenon_Hbe zenon_Hbc zenon_H10 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H1 zenon_He9. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.39 apply (zenon_L135_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.39 exact (zenon_H1 zenon_H2). % 1.20/1.39 exact (zenon_He9 zenon_Hea). % 1.20/1.39 (* end of lemma zenon_L136_ *) % 1.20/1.39 assert (zenon_L137_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c1_1 (a450)) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c3_1 (a450)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H19d zenon_H10 zenon_H176 zenon_H89 zenon_H175. % 1.20/1.39 generalize (zenon_H19d (a450)). zenon_intro zenon_H19e. % 1.20/1.39 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_Hf | zenon_intro zenon_H19f ]. % 1.20/1.39 exact (zenon_Hf zenon_H10). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H17b | zenon_intro zenon_H17f ]. % 1.20/1.39 exact (zenon_H17b zenon_H176). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 1.20/1.39 generalize (zenon_H89 (a450)). zenon_intro zenon_H1a0. % 1.20/1.39 apply (zenon_imply_s _ _ zenon_H1a0); [ zenon_intro zenon_Hf | zenon_intro zenon_H1a1 ]. % 1.20/1.39 exact (zenon_Hf zenon_H10). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H17c | zenon_intro zenon_H1a2 ]. % 1.20/1.39 exact (zenon_H181 zenon_H17c). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H17b | zenon_intro zenon_H180 ]. % 1.20/1.39 exact (zenon_H17b zenon_H176). % 1.20/1.39 exact (zenon_H180 zenon_H175). % 1.20/1.39 exact (zenon_H180 zenon_H175). % 1.20/1.39 (* end of lemma zenon_L137_ *) % 1.20/1.39 assert (zenon_L138_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (ndr1_0) -> (forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (~(hskp6)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H93 zenon_H67 zenon_H66 zenon_H65 zenon_H175 zenon_H176 zenon_H10 zenon_H19d zenon_H9. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.20/1.39 apply (zenon_L30_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.20/1.39 apply (zenon_L137_); trivial. % 1.20/1.39 exact (zenon_H9 zenon_Ha). % 1.20/1.39 (* end of lemma zenon_L138_ *) % 1.20/1.39 assert (zenon_L139_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (~(hskp6)) -> (ndr1_0) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1a3 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hcc zenon_H9 zenon_H10 zenon_H176 zenon_H175 zenon_H65 zenon_H66 zenon_H67 zenon_H93 zenon_H60. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.20/1.39 apply (zenon_L58_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.20/1.39 apply (zenon_L138_); trivial. % 1.20/1.39 exact (zenon_H60 zenon_H61). % 1.20/1.39 (* end of lemma zenon_L139_ *) % 1.20/1.39 assert (zenon_L140_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp8)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hed zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H60 zenon_H93 zenon_H67 zenon_H66 zenon_H65 zenon_H175 zenon_H176 zenon_H9 zenon_H1a3 zenon_H7d. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.39 apply (zenon_L57_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.39 apply (zenon_L139_); trivial. % 1.20/1.39 exact (zenon_H7d zenon_H7e). % 1.20/1.39 (* end of lemma zenon_L140_ *) % 1.20/1.39 assert (zenon_L141_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H84 zenon_Heb zenon_Hdc zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.39 apply (zenon_L56_); trivial. % 1.20/1.39 apply (zenon_L140_); trivial. % 1.20/1.39 (* end of lemma zenon_L141_ *) % 1.20/1.39 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H80 zenon_Heb. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L74_); trivial. % 1.20/1.39 apply (zenon_L141_); trivial. % 1.20/1.39 (* end of lemma zenon_L142_ *) % 1.20/1.39 assert (zenon_L143_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H80 zenon_Heb zenon_H99 zenon_H9b zenon_H9f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L45_); trivial. % 1.20/1.39 apply (zenon_L142_); trivial. % 1.20/1.39 (* end of lemma zenon_L143_ *) % 1.20/1.39 assert (zenon_L144_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H169 zenon_Hec zenon_He9 zenon_H1 zenon_H10 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H9f zenon_H9b zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H1a3 zenon_H60 zenon_H9 zenon_H93 zenon_H88 zenon_Hf1 zenon_H16a. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.39 apply (zenon_L136_); trivial. % 1.20/1.39 apply (zenon_L143_); trivial. % 1.20/1.39 apply (zenon_L77_); trivial. % 1.20/1.39 (* end of lemma zenon_L144_ *) % 1.20/1.39 assert (zenon_L145_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp15)) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H128 zenon_H140 zenon_H182 zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_H1a5 zenon_H9d zenon_H126. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H114 | zenon_intro zenon_H1a6 ]. % 1.20/1.39 apply (zenon_L79_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H183 | zenon_intro zenon_H141 ]. % 1.20/1.39 exact (zenon_H182 zenon_H183). % 1.20/1.39 exact (zenon_H140 zenon_H141). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.20/1.39 exact (zenon_H9d zenon_H9e). % 1.20/1.39 exact (zenon_H126 zenon_H127). % 1.20/1.39 (* end of lemma zenon_L145_ *) % 1.20/1.39 assert (zenon_L146_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp15)) -> (~(hskp9)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H84 zenon_H153 zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H140 zenon_H142. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hde | zenon_intro zenon_H154 ]. % 1.20/1.39 apply (zenon_L118_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H141 | zenon_intro zenon_H143 ]. % 1.20/1.39 exact (zenon_H140 zenon_H141). % 1.20/1.39 exact (zenon_H142 zenon_H143). % 1.20/1.39 (* end of lemma zenon_L146_ *) % 1.20/1.39 assert (zenon_L147_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H153 zenon_H142 zenon_H140 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L84_); trivial. % 1.20/1.39 apply (zenon_L146_); trivial. % 1.20/1.39 (* end of lemma zenon_L147_ *) % 1.20/1.39 assert (zenon_L148_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp8)) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp21)) -> (~(hskp22)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hc0 zenon_H7d zenon_Hc5 zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc7 zenon_Hbc zenon_Hbe. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc1 ]. % 1.20/1.39 apply (zenon_L55_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbf ]. % 1.20/1.39 exact (zenon_Hbc zenon_Hbd). % 1.20/1.39 exact (zenon_Hbe zenon_Hbf). % 1.20/1.39 (* end of lemma zenon_L148_ *) % 1.20/1.39 assert (zenon_L149_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hdc zenon_H156 zenon_H155 zenon_H25 zenon_Hcf zenon_Hd0 zenon_H64 zenon_Hcd zenon_H10 zenon_H7d. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.39 apply (zenon_L99_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.39 apply (zenon_L71_); trivial. % 1.20/1.39 exact (zenon_H7d zenon_H7e). % 1.20/1.39 (* end of lemma zenon_L149_ *) % 1.20/1.39 assert (zenon_L150_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (ndr1_0) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1a3 zenon_H9 zenon_H10 zenon_H176 zenon_H175 zenon_Hcc zenon_Hcd zenon_Hd0 zenon_Hcf zenon_H93 zenon_H60. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.20/1.39 apply (zenon_L58_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.20/1.39 apply (zenon_L71_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.20/1.39 apply (zenon_L137_); trivial. % 1.20/1.39 exact (zenon_H9 zenon_Ha). % 1.20/1.39 exact (zenon_H60 zenon_H61). % 1.20/1.39 (* end of lemma zenon_L150_ *) % 1.20/1.39 assert (zenon_L151_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (ndr1_0) -> (c1_1 (a450)) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c3_1 (a450)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1a7 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H60 zenon_H93 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H9 zenon_H1a3 zenon_H10 zenon_H176 zenon_H89 zenon_H175. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.20/1.39 apply (zenon_L59_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.20/1.39 apply (zenon_L150_); trivial. % 1.20/1.39 apply (zenon_L137_); trivial. % 1.20/1.39 (* end of lemma zenon_L151_ *) % 1.20/1.39 assert (zenon_L152_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hed zenon_H161 zenon_H1a7 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H156 zenon_H155 zenon_H1a3 zenon_H9 zenon_H176 zenon_H175 zenon_H93 zenon_H60. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.39 apply (zenon_L59_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.20/1.39 apply (zenon_L149_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.20/1.39 apply (zenon_L151_); trivial. % 1.20/1.39 exact (zenon_H9 zenon_Ha). % 1.20/1.39 apply (zenon_L150_); trivial. % 1.20/1.39 (* end of lemma zenon_L152_ *) % 1.20/1.39 assert (zenon_L153_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (c0_1 (a437)) -> (c1_1 (a437)) -> (c3_1 (a437)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1b zenon_H10 zenon_H37 zenon_H3c zenon_H38. % 1.20/1.39 generalize (zenon_H1b (a437)). zenon_intro zenon_H3f. % 1.20/1.39 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_Hf | zenon_intro zenon_H40 ]. % 1.20/1.39 exact (zenon_Hf zenon_H10). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H3e | zenon_intro zenon_H41 ]. % 1.20/1.39 exact (zenon_H3e zenon_H37). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H36 | zenon_intro zenon_H3d ]. % 1.20/1.39 exact (zenon_H36 zenon_H3c). % 1.20/1.39 exact (zenon_H3d zenon_H38). % 1.20/1.39 (* end of lemma zenon_L153_ *) % 1.20/1.39 assert (zenon_L154_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hc9 zenon_H10 zenon_H1b zenon_H37 zenon_H38 zenon_H4a. % 1.20/1.39 generalize (zenon_Hc9 (a437)). zenon_intro zenon_H1a9. % 1.20/1.39 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_Hf | zenon_intro zenon_H1aa ]. % 1.20/1.39 exact (zenon_Hf zenon_H10). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H3c | zenon_intro zenon_H1ab ]. % 1.20/1.39 apply (zenon_L153_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ac | zenon_intro zenon_H3d ]. % 1.20/1.39 exact (zenon_H1ac zenon_H4a). % 1.20/1.39 exact (zenon_H3d zenon_H38). % 1.20/1.39 (* end of lemma zenon_L154_ *) % 1.20/1.39 assert (zenon_L155_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (~(c3_1 (a492))) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1ad zenon_H156 zenon_H155 zenon_Hd0 zenon_Hcf zenon_Hce zenon_Hcd zenon_Hc9 zenon_H10 zenon_H37 zenon_H38 zenon_H4a. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.20/1.39 apply (zenon_L99_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.20/1.39 apply (zenon_L58_); trivial. % 1.20/1.39 apply (zenon_L154_); trivial. % 1.20/1.39 (* end of lemma zenon_L155_ *) % 1.20/1.39 assert (zenon_L156_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (ndr1_0) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp8)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hdc zenon_H4a zenon_H38 zenon_H37 zenon_Hce zenon_H155 zenon_H156 zenon_H1ad zenon_H60 zenon_H93 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H175 zenon_H176 zenon_H10 zenon_H9 zenon_H1a3 zenon_H7d. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.39 apply (zenon_L155_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.39 apply (zenon_L150_); trivial. % 1.20/1.39 exact (zenon_H7d zenon_H7e). % 1.20/1.39 (* end of lemma zenon_L156_ *) % 1.20/1.39 assert (zenon_L157_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (ndr1_0) -> (c1_1 (a450)) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c3_1 (a450)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1a7 zenon_H7d zenon_H1ad zenon_H156 zenon_H155 zenon_H37 zenon_H38 zenon_H4a zenon_Hdc zenon_H60 zenon_H93 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H9 zenon_H1a3 zenon_H10 zenon_H176 zenon_H89 zenon_H175. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.20/1.39 apply (zenon_L156_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.20/1.39 apply (zenon_L150_); trivial. % 1.20/1.39 apply (zenon_L137_); trivial. % 1.20/1.39 (* end of lemma zenon_L157_ *) % 1.20/1.39 assert (zenon_L158_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H46 zenon_H161 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1a7 zenon_H7d zenon_H1ad zenon_H156 zenon_H155 zenon_Hdc zenon_H1a3 zenon_H9 zenon_H176 zenon_H175 zenon_Hcd zenon_Hd0 zenon_Hcf zenon_H93 zenon_H60. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.39 apply (zenon_L59_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.20/1.39 apply (zenon_L149_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.20/1.39 apply (zenon_L157_); trivial. % 1.20/1.39 exact (zenon_H9 zenon_Ha). % 1.20/1.39 apply (zenon_L150_); trivial. % 1.20/1.39 (* end of lemma zenon_L158_ *) % 1.20/1.39 assert (zenon_L159_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Heb zenon_H161 zenon_H156 zenon_H155 zenon_H1a7 zenon_H1ad zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H101 zenon_Hff zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H10 zenon_Hc7 zenon_H7d zenon_H51 zenon_H103 zenon_H4d. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.39 apply (zenon_L70_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.39 apply (zenon_L67_); trivial. % 1.20/1.39 apply (zenon_L158_); trivial. % 1.20/1.39 (* end of lemma zenon_L159_ *) % 1.20/1.39 assert (zenon_L160_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H16e zenon_H88 zenon_H80 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_H1ad zenon_H1a7 zenon_H155 zenon_H156 zenon_H161 zenon_Heb. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L159_); trivial. % 1.20/1.39 apply (zenon_L141_); trivial. % 1.20/1.39 (* end of lemma zenon_L160_ *) % 1.20/1.39 assert (zenon_L161_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H93 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_Hcc zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H9. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.20/1.39 apply (zenon_L71_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.20/1.39 apply (zenon_L38_); trivial. % 1.20/1.39 exact (zenon_H9 zenon_Ha). % 1.20/1.39 (* end of lemma zenon_L161_ *) % 1.20/1.39 assert (zenon_L162_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp6)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp8)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hed zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H9 zenon_H8a zenon_H8b zenon_H8c zenon_H93 zenon_H7d. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.39 apply (zenon_L57_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.39 apply (zenon_L161_); trivial. % 1.20/1.39 exact (zenon_H7d zenon_H7e). % 1.20/1.39 (* end of lemma zenon_L162_ *) % 1.20/1.39 assert (zenon_L163_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H16e zenon_H88 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hdc zenon_Heb. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.39 apply (zenon_L70_); trivial. % 1.20/1.39 apply (zenon_L162_); trivial. % 1.20/1.39 apply (zenon_L39_); trivial. % 1.20/1.39 (* end of lemma zenon_L163_ *) % 1.20/1.39 assert (zenon_L164_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H95 zenon_H169 zenon_Heb zenon_Hdc zenon_H9 zenon_H93 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H101 zenon_Hff zenon_H103 zenon_H4d zenon_H88 zenon_H16a. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.39 apply (zenon_L148_); trivial. % 1.20/1.39 apply (zenon_L162_); trivial. % 1.20/1.39 apply (zenon_L163_); trivial. % 1.20/1.39 apply (zenon_L77_); trivial. % 1.20/1.39 (* end of lemma zenon_L164_ *) % 1.20/1.39 assert (zenon_L165_ : ((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H16d zenon_H98 zenon_H16a zenon_H88 zenon_H80 zenon_H4d zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_Hc0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H1a3 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H1a7 zenon_H161 zenon_Heb zenon_H169. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.39 apply (zenon_L148_); trivial. % 1.20/1.39 apply (zenon_L152_); trivial. % 1.20/1.39 apply (zenon_L160_); trivial. % 1.20/1.39 apply (zenon_L77_); trivial. % 1.20/1.39 apply (zenon_L164_); trivial. % 1.20/1.39 (* end of lemma zenon_L165_ *) % 1.20/1.39 assert (zenon_L166_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1af zenon_H10 zenon_H174 zenon_H176 zenon_H175. % 1.20/1.39 generalize (zenon_H1af (a450)). zenon_intro zenon_H1b0. % 1.20/1.39 apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_Hf | zenon_intro zenon_H1b1 ]. % 1.20/1.39 exact (zenon_Hf zenon_H10). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H17a | zenon_intro zenon_H1a2 ]. % 1.20/1.39 exact (zenon_H174 zenon_H17a). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H17b | zenon_intro zenon_H180 ]. % 1.20/1.39 exact (zenon_H17b zenon_H176). % 1.20/1.39 exact (zenon_H180 zenon_H175). % 1.20/1.39 (* end of lemma zenon_L166_ *) % 1.20/1.39 assert (zenon_L167_ : (~(hskp5)) -> (hskp5) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1b2 zenon_H1b3. % 1.20/1.39 exact (zenon_H1b2 zenon_H1b3). % 1.20/1.39 (* end of lemma zenon_L167_ *) % 1.20/1.39 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp5)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H165 zenon_H1b4 zenon_H175 zenon_H176 zenon_H174 zenon_H1b2. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b5 ]. % 1.20/1.39 apply (zenon_L166_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b3 ]. % 1.20/1.39 apply (zenon_L26_); trivial. % 1.20/1.39 exact (zenon_H1b2 zenon_H1b3). % 1.20/1.39 (* end of lemma zenon_L168_ *) % 1.20/1.39 assert (zenon_L169_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1b6 zenon_H1b4 zenon_H1b2 zenon_H169 zenon_Hec zenon_He9 zenon_Hc0 zenon_H9f zenon_H9b zenon_Heb zenon_Hba zenon_Hdc zenon_H101 zenon_Hc7 zenon_H4d zenon_H1a3 zenon_H93 zenon_Hf1 zenon_H16a zenon_H128 zenon_H126 zenon_H1a5 zenon_H153 zenon_H16b zenon_H161 zenon_H1a7 zenon_H1ad zenon_H16c zenon_H189 zenon_H185 zenon_H182 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_Hff zenon_H14e zenon_H7 zenon_Hd zenon_H9 zenon_H85 zenon_H190 zenon_H80 zenon_H103 zenon_H62 zenon_H88 zenon_H50 zenon_H152 zenon_H19b zenon_H142 zenon_H13e zenon_H98 zenon_H168. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.39 apply (zenon_L134_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.39 apply (zenon_L144_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L145_); trivial. % 1.20/1.39 apply (zenon_L147_); trivial. % 1.20/1.39 apply (zenon_L98_); trivial. % 1.20/1.39 apply (zenon_L165_); trivial. % 1.20/1.39 apply (zenon_L168_); trivial. % 1.20/1.39 (* end of lemma zenon_L169_ *) % 1.20/1.39 assert (zenon_L170_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2f zenon_H2d zenon_H2b zenon_H33 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.39 apply (zenon_L4_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.39 apply (zenon_L23_); trivial. % 1.20/1.39 (* end of lemma zenon_L170_ *) % 1.20/1.39 assert (zenon_L171_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hce zenon_H10 zenon_Haa zenon_H1ba zenon_H1bb zenon_H1bc. % 1.20/1.39 generalize (zenon_Hce (a449)). zenon_intro zenon_H1bd. % 1.20/1.39 apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_Hf | zenon_intro zenon_H1be ]. % 1.20/1.39 exact (zenon_Hf zenon_H10). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bf ]. % 1.20/1.39 generalize (zenon_Haa (a449)). zenon_intro zenon_H1c1. % 1.20/1.39 apply (zenon_imply_s _ _ zenon_H1c1); [ zenon_intro zenon_Hf | zenon_intro zenon_H1c2 ]. % 1.20/1.39 exact (zenon_Hf zenon_H10). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 1.20/1.39 exact (zenon_H1ba zenon_H1c4). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ]. % 1.20/1.39 exact (zenon_H1c6 zenon_H1c0). % 1.20/1.39 exact (zenon_H1c5 zenon_H1bb). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1c5 ]. % 1.20/1.39 exact (zenon_H1bc zenon_H1c7). % 1.20/1.39 exact (zenon_H1c5 zenon_H1bb). % 1.20/1.39 (* end of lemma zenon_L171_ *) % 1.20/1.39 assert (zenon_L172_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Hce zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.20/1.39 apply (zenon_L171_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.20/1.39 apply (zenon_L48_); trivial. % 1.20/1.39 exact (zenon_H51 zenon_H52). % 1.20/1.39 (* end of lemma zenon_L172_ *) % 1.20/1.39 assert (zenon_L173_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.20/1.39 do 0 intro. intros zenon_He7 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H99. % 1.20/1.39 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hce | zenon_intro zenon_He8 ]. % 1.20/1.39 apply (zenon_L172_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H54 | zenon_intro zenon_H9a ]. % 1.20/1.39 apply (zenon_L26_); trivial. % 1.20/1.39 exact (zenon_H99 zenon_H9a). % 1.20/1.39 (* end of lemma zenon_L173_ *) % 1.20/1.39 assert (zenon_L174_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L173_); trivial. % 1.20/1.39 apply (zenon_L39_); trivial. % 1.20/1.39 (* end of lemma zenon_L174_ *) % 1.20/1.39 assert (zenon_L175_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_H1e zenon_H1c zenon_H26 zenon_H10 zenon_H9d. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.20/1.39 apply (zenon_L83_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.20/1.39 apply (zenon_L20_); trivial. % 1.20/1.39 exact (zenon_H9d zenon_H9e). % 1.20/1.39 (* end of lemma zenon_L175_ *) % 1.20/1.39 assert (zenon_L176_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L84_); trivial. % 1.20/1.39 apply (zenon_L39_); trivial. % 1.20/1.39 (* end of lemma zenon_L176_ *) % 1.20/1.39 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L175_); trivial. % 1.20/1.39 apply (zenon_L176_); trivial. % 1.20/1.39 (* end of lemma zenon_L177_ *) % 1.20/1.39 assert (zenon_L178_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_H93 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.39 apply (zenon_L7_); trivial. % 1.20/1.39 apply (zenon_L177_); trivial. % 1.20/1.39 (* end of lemma zenon_L178_ *) % 1.20/1.39 assert (zenon_L179_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H95 zenon_H16b zenon_H50 zenon_H1c8 zenon_H5 zenon_Hd zenon_H9f zenon_H9b zenon_He7 zenon_H57 zenon_H56 zenon_H55 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H9 zenon_H93 zenon_H88 zenon_Hf1. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L45_); trivial. % 1.20/1.39 apply (zenon_L174_); trivial. % 1.20/1.39 apply (zenon_L178_); trivial. % 1.20/1.39 (* end of lemma zenon_L179_ *) % 1.20/1.39 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_H50 zenon_H1c8 zenon_H5 zenon_Hd zenon_H9f zenon_H9b zenon_He7 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H9 zenon_H93 zenon_Hf1 zenon_H53 zenon_H2d zenon_H2b zenon_H62 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.39 apply (zenon_L37_); trivial. % 1.20/1.39 apply (zenon_L179_); trivial. % 1.20/1.39 (* end of lemma zenon_L180_ *) % 1.20/1.39 assert (zenon_L181_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H168 zenon_H98 zenon_H16b zenon_H1c8 zenon_H9f zenon_H9b zenon_He7 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H93 zenon_Hf1 zenon_H53 zenon_H62 zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H2b zenon_H2d zenon_H2f zenon_H47 zenon_H4d zenon_H50 zenon_H189. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.39 apply (zenon_L170_); trivial. % 1.20/1.39 apply (zenon_L180_); trivial. % 1.20/1.39 (* end of lemma zenon_L181_ *) % 1.20/1.39 assert (zenon_L182_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(hskp24)) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp14)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1ca zenon_H1ba zenon_H1bb zenon_H1bc zenon_H51 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H1. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.20/1.39 apply (zenon_L172_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.20/1.39 apply (zenon_L49_); trivial. % 1.20/1.39 exact (zenon_H1 zenon_H2). % 1.20/1.39 (* end of lemma zenon_L182_ *) % 1.20/1.39 assert (zenon_L183_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_Heb zenon_Hec zenon_He9 zenon_Hdc zenon_He7 zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H99 zenon_H9b zenon_H9f. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L45_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L182_); trivial. % 1.20/1.39 apply (zenon_L63_); trivial. % 1.20/1.39 (* end of lemma zenon_L183_ *) % 1.20/1.39 assert (zenon_L184_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H11e zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.20/1.39 generalize (zenon_H11e (a449)). zenon_intro zenon_H1cc. % 1.20/1.39 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_Hf | zenon_intro zenon_H1cd ]. % 1.20/1.39 exact (zenon_Hf zenon_H10). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1bf ]. % 1.20/1.39 exact (zenon_H1ba zenon_H1c4). % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1c5 ]. % 1.20/1.39 exact (zenon_H1bc zenon_H1c7). % 1.20/1.39 exact (zenon_H1c5 zenon_H1bb). % 1.20/1.39 (* end of lemma zenon_L184_ *) % 1.20/1.39 assert (zenon_L185_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H128 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H10 zenon_H9d zenon_H126. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.20/1.39 apply (zenon_L184_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.20/1.39 exact (zenon_H9d zenon_H9e). % 1.20/1.39 exact (zenon_H126 zenon_H127). % 1.20/1.39 (* end of lemma zenon_L185_ *) % 1.20/1.39 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H85 zenon_H80 zenon_H7d zenon_H2b zenon_H2d zenon_H2f zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L185_); trivial. % 1.20/1.39 apply (zenon_L88_); trivial. % 1.20/1.39 (* end of lemma zenon_L186_ *) % 1.20/1.39 assert (zenon_L187_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp14)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H1ca zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_Hde zenon_H1. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.20/1.39 apply (zenon_L172_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.20/1.39 apply (zenon_L107_); trivial. % 1.20/1.39 exact (zenon_H1 zenon_H2). % 1.20/1.39 (* end of lemma zenon_L187_ *) % 1.20/1.39 assert (zenon_L188_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hec zenon_H10 zenon_H174 zenon_H175 zenon_H176 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51 zenon_H1ca zenon_H1 zenon_He9. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.39 apply (zenon_L187_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.39 exact (zenon_H1 zenon_H2). % 1.20/1.39 exact (zenon_He9 zenon_Hea). % 1.20/1.39 (* end of lemma zenon_L188_ *) % 1.20/1.39 assert (zenon_L189_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H7d zenon_H80 zenon_H1ca zenon_H1 zenon_H176 zenon_H175 zenon_H174 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_He9 zenon_Hec zenon_H99 zenon_H9b zenon_H9f. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L45_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L188_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.39 apply (zenon_L118_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.39 exact (zenon_H1 zenon_H2). % 1.20/1.39 exact (zenon_He9 zenon_Hea). % 1.20/1.39 (* end of lemma zenon_L189_ *) % 1.20/1.39 assert (zenon_L190_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (~(hskp8)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H80 zenon_H67 zenon_H66 zenon_H65 zenon_H78 zenon_H71 zenon_H70 zenon_H10 zenon_H1b zenon_H7d. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.39 apply (zenon_L30_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.39 apply (zenon_L32_); trivial. % 1.20/1.39 exact (zenon_H7d zenon_H7e). % 1.20/1.39 (* end of lemma zenon_L190_ *) % 1.20/1.39 assert (zenon_L191_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp13)) -> False). % 1.20/1.39 do 0 intro. intros zenon_H7f zenon_H1ce zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H65 zenon_H66 zenon_H67 zenon_H80 zenon_H5. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.39 apply (zenon_L118_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.39 apply (zenon_L190_); trivial. % 1.20/1.39 exact (zenon_H5 zenon_H6). % 1.20/1.39 (* end of lemma zenon_L191_ *) % 1.20/1.39 assert (zenon_L192_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L84_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.39 apply (zenon_L87_); trivial. % 1.20/1.39 apply (zenon_L191_); trivial. % 1.20/1.39 (* end of lemma zenon_L192_ *) % 1.20/1.39 assert (zenon_L193_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp14)) -> (~(hskp2)) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hec zenon_H13c zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H1 zenon_He9. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.39 apply (zenon_L93_); trivial. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.39 exact (zenon_H1 zenon_H2). % 1.20/1.39 exact (zenon_He9 zenon_Hea). % 1.20/1.39 (* end of lemma zenon_L193_ *) % 1.20/1.39 assert (zenon_L194_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H95 zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H13e zenon_H1 zenon_He9 zenon_Hec. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.39 apply (zenon_L193_); trivial. % 1.20/1.39 apply (zenon_L125_); trivial. % 1.20/1.39 (* end of lemma zenon_L194_ *) % 1.20/1.39 assert (zenon_L195_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H98 zenon_H152 zenon_H19b zenon_H142 zenon_H13e zenon_Hf1 zenon_H88 zenon_H7d zenon_H80 zenon_H1ca zenon_H1 zenon_H176 zenon_H175 zenon_H174 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_He9 zenon_Hec zenon_H9b zenon_H9f zenon_H128 zenon_H126 zenon_H130 zenon_Hff zenon_H124 zenon_H62 zenon_H5 zenon_H1ce zenon_H85 zenon_H16b. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.39 apply (zenon_L189_); trivial. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L185_); trivial. % 1.20/1.39 apply (zenon_L192_); trivial. % 1.20/1.39 apply (zenon_L194_); trivial. % 1.20/1.39 (* end of lemma zenon_L195_ *) % 1.20/1.39 assert (zenon_L196_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H84 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.39 apply (zenon_L29_); trivial. % 1.20/1.39 apply (zenon_L191_); trivial. % 1.20/1.39 (* end of lemma zenon_L196_ *) % 1.20/1.39 assert (zenon_L197_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H60 zenon_H62 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L173_); trivial. % 1.20/1.39 apply (zenon_L196_); trivial. % 1.20/1.39 (* end of lemma zenon_L197_ *) % 1.20/1.39 assert (zenon_L198_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H60 zenon_H62 zenon_Hba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7 zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L185_); trivial. % 1.20/1.39 apply (zenon_L197_); trivial. % 1.20/1.39 (* end of lemma zenon_L198_ *) % 1.20/1.39 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.39 apply (zenon_L84_); trivial. % 1.20/1.39 apply (zenon_L196_); trivial. % 1.20/1.39 (* end of lemma zenon_L199_ *) % 1.20/1.39 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L175_); trivial. % 1.20/1.39 apply (zenon_L199_); trivial. % 1.20/1.39 (* end of lemma zenon_L200_ *) % 1.20/1.39 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_Hba zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.39 apply (zenon_L7_); trivial. % 1.20/1.39 apply (zenon_L200_); trivial. % 1.20/1.39 (* end of lemma zenon_L201_ *) % 1.20/1.39 assert (zenon_L202_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.39 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7 zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.39 apply (zenon_L185_); trivial. % 1.20/1.39 apply (zenon_L174_); trivial. % 1.20/1.39 (* end of lemma zenon_L202_ *) % 1.20/1.39 assert (zenon_L203_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.39 do 0 intro. intros zenon_H95 zenon_H16b zenon_H50 zenon_H1c8 zenon_H5 zenon_Hd zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_He7 zenon_H57 zenon_H56 zenon_H55 zenon_Hba zenon_H9 zenon_H93 zenon_H88 zenon_Hf1. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.39 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.39 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.39 apply (zenon_L202_); trivial. % 1.20/1.39 apply (zenon_L178_); trivial. % 1.20/1.39 (* end of lemma zenon_L203_ *) % 1.20/1.39 assert (zenon_L204_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H165 zenon_H98 zenon_H93 zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H62 zenon_Hba zenon_He7 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_Hd zenon_H9 zenon_H1c8 zenon_H50 zenon_H16b. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_L198_); trivial. % 1.20/1.40 apply (zenon_L201_); trivial. % 1.20/1.40 apply (zenon_L203_); trivial. % 1.20/1.40 (* end of lemma zenon_L204_ *) % 1.20/1.40 assert (zenon_L205_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H168 zenon_H93 zenon_He7 zenon_Hd zenon_H9 zenon_H1c8 zenon_H50 zenon_H16b zenon_H85 zenon_H1ce zenon_H5 zenon_H62 zenon_H124 zenon_Hff zenon_H130 zenon_H126 zenon_H128 zenon_H9f zenon_H9b zenon_Hec zenon_He9 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H174 zenon_H175 zenon_H176 zenon_H1ca zenon_H80 zenon_H7d zenon_H88 zenon_Hf1 zenon_H13e zenon_H142 zenon_H19b zenon_H152 zenon_H98. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L195_); trivial. % 1.20/1.40 apply (zenon_L204_); trivial. % 1.20/1.40 (* end of lemma zenon_L205_ *) % 1.20/1.40 assert (zenon_L206_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H153 zenon_H142 zenon_H140 zenon_H7d zenon_H80 zenon_H1ca zenon_H1 zenon_H176 zenon_H175 zenon_H174 zenon_Hba zenon_He9 zenon_Hec zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_L185_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.40 apply (zenon_L188_); trivial. % 1.20/1.40 apply (zenon_L146_); trivial. % 1.20/1.40 (* end of lemma zenon_L206_ *) % 1.20/1.40 assert (zenon_L207_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1d0 zenon_H1b4 zenon_H1b2 zenon_H153 zenon_H169 zenon_H161 zenon_H1a7 zenon_H1a3 zenon_Hc0 zenon_H1ad zenon_H101 zenon_H103 zenon_H16a zenon_H16c zenon_H152 zenon_H19b zenon_H142 zenon_H13e zenon_H1ce zenon_H168 zenon_H98 zenon_H16b zenon_H1c8 zenon_H9f zenon_H9b zenon_He7 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H93 zenon_Hf1 zenon_H53 zenon_H62 zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_H7 zenon_Hd zenon_H9 zenon_H33 zenon_H2d zenon_H2f zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_Heb zenon_Hec zenon_He9 zenon_Hdc zenon_Hc7 zenon_H1ca zenon_H128 zenon_H126 zenon_H130 zenon_Hff zenon_H124 zenon_H1b6. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.40 apply (zenon_L181_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_L183_); trivial. % 1.20/1.40 apply (zenon_L186_); trivial. % 1.20/1.40 apply (zenon_L40_); trivial. % 1.20/1.40 apply (zenon_L105_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.40 apply (zenon_L205_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.40 apply (zenon_L206_); trivial. % 1.20/1.40 apply (zenon_L165_); trivial. % 1.20/1.40 apply (zenon_L168_); trivial. % 1.20/1.40 (* end of lemma zenon_L207_ *) % 1.20/1.40 assert (zenon_L208_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hde zenon_H10 zenon_H1d4 zenon_H1d5 zenon_H1d6. % 1.20/1.40 generalize (zenon_Hde (a448)). zenon_intro zenon_H1d7. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d8 ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 1.20/1.40 exact (zenon_H1d4 zenon_H1da). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1db ]. % 1.20/1.40 exact (zenon_H1d5 zenon_H1dc). % 1.20/1.40 exact (zenon_H1db zenon_H1d6). % 1.20/1.40 (* end of lemma zenon_L208_ *) % 1.20/1.40 assert (zenon_L209_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp2)) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hec zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H10 zenon_H1 zenon_He9. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.40 apply (zenon_L208_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.40 exact (zenon_H1 zenon_H2). % 1.20/1.40 exact (zenon_He9 zenon_Hea). % 1.20/1.40 (* end of lemma zenon_L209_ *) % 1.20/1.40 assert (zenon_L210_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (ndr1_0) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H168 zenon_H98 zenon_H93 zenon_H9 zenon_H53 zenon_H2d zenon_H2b zenon_H62 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_H10 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L209_); trivial. % 1.20/1.40 apply (zenon_L105_); trivial. % 1.20/1.40 (* end of lemma zenon_L210_ *) % 1.20/1.40 assert (zenon_L211_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp9)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H153 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H10 zenon_H140 zenon_H142. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hde | zenon_intro zenon_H154 ]. % 1.20/1.40 apply (zenon_L208_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H141 | zenon_intro zenon_H143 ]. % 1.20/1.40 exact (zenon_H140 zenon_H141). % 1.20/1.40 exact (zenon_H142 zenon_H143). % 1.20/1.40 (* end of lemma zenon_L211_ *) % 1.20/1.40 assert (zenon_L212_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1b7 zenon_H16c zenon_H98 zenon_H16a zenon_H88 zenon_H80 zenon_H4d zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_Hc0 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H1a3 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H1a7 zenon_H161 zenon_Heb zenon_H169 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H153. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.40 apply (zenon_L211_); trivial. % 1.20/1.40 apply (zenon_L165_); trivial. % 1.20/1.40 (* end of lemma zenon_L212_ *) % 1.20/1.40 assert (zenon_L213_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp8)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp13)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H7f zenon_H1ce zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H7d zenon_H65 zenon_H66 zenon_H67 zenon_H80 zenon_H5. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.40 apply (zenon_L208_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.40 apply (zenon_L190_); trivial. % 1.20/1.40 exact (zenon_H5 zenon_H6). % 1.20/1.40 (* end of lemma zenon_L213_ *) % 1.20/1.40 assert (zenon_L214_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H84 zenon_H85 zenon_H1ce zenon_H5 zenon_H7d zenon_H80 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.40 apply (zenon_L29_); trivial. % 1.20/1.40 apply (zenon_L213_); trivial. % 1.20/1.40 (* end of lemma zenon_L214_ *) % 1.20/1.40 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H7d zenon_H80 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H60 zenon_H62 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.40 apply (zenon_L173_); trivial. % 1.20/1.40 apply (zenon_L214_); trivial. % 1.20/1.40 (* end of lemma zenon_L215_ *) % 1.20/1.40 assert (zenon_L216_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H7d zenon_H80 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H60 zenon_H62 zenon_Hba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7 zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_L185_); trivial. % 1.20/1.40 apply (zenon_L215_); trivial. % 1.20/1.40 (* end of lemma zenon_L216_ *) % 1.20/1.40 assert (zenon_L217_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H7d zenon_H80 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.40 apply (zenon_L84_); trivial. % 1.20/1.40 apply (zenon_L214_); trivial. % 1.20/1.40 (* end of lemma zenon_L217_ *) % 1.20/1.40 assert (zenon_L218_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H7d zenon_H80 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_L175_); trivial. % 1.20/1.40 apply (zenon_L217_); trivial. % 1.20/1.40 (* end of lemma zenon_L218_ *) % 1.20/1.40 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H7d zenon_H80 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_Hba zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.40 apply (zenon_L7_); trivial. % 1.20/1.40 apply (zenon_L218_); trivial. % 1.20/1.40 (* end of lemma zenon_L219_ *) % 1.20/1.40 assert (zenon_L220_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H165 zenon_H98 zenon_H93 zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H7d zenon_H80 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H62 zenon_Hba zenon_He7 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_Hd zenon_H9 zenon_H1c8 zenon_H50 zenon_H16b. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_L216_); trivial. % 1.20/1.40 apply (zenon_L219_); trivial. % 1.20/1.40 apply (zenon_L203_); trivial. % 1.20/1.40 (* end of lemma zenon_L220_ *) % 1.20/1.40 assert (zenon_L221_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (ndr1_0) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H168 zenon_H98 zenon_H93 zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H7d zenon_H80 zenon_H62 zenon_Hba zenon_He7 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_Hd zenon_H9 zenon_H1c8 zenon_H50 zenon_H16b zenon_H10 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L209_); trivial. % 1.20/1.40 apply (zenon_L220_); trivial. % 1.20/1.40 (* end of lemma zenon_L221_ *) % 1.20/1.40 assert (zenon_L222_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (ndr1_0) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1dd zenon_H16b zenon_H1c8 zenon_H128 zenon_H126 zenon_He7 zenon_Hba zenon_H1ce zenon_Hf1 zenon_H168 zenon_H98 zenon_H93 zenon_H9 zenon_H53 zenon_H2d zenon_H62 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_H10 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec zenon_H13e zenon_H142 zenon_H19b zenon_H152 zenon_H50 zenon_H103 zenon_H190 zenon_Hd zenon_H7 zenon_H14e zenon_Hff zenon_H185 zenon_H189 zenon_H153 zenon_H169 zenon_Heb zenon_H161 zenon_H1a7 zenon_H1a3 zenon_Hdc zenon_Hc7 zenon_Hc0 zenon_H1ad zenon_H101 zenon_H4d zenon_H16a zenon_H16c zenon_H1b6 zenon_H1d0. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.40 apply (zenon_L210_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.40 apply (zenon_L134_); trivial. % 1.20/1.40 apply (zenon_L212_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.40 apply (zenon_L210_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.40 apply (zenon_L221_); trivial. % 1.20/1.40 apply (zenon_L212_); trivial. % 1.20/1.40 (* end of lemma zenon_L222_ *) % 1.20/1.40 assert (zenon_L223_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1e1 zenon_H10 zenon_H1e2 zenon_H1e3 zenon_H1e4. % 1.20/1.40 generalize (zenon_H1e1 (a445)). zenon_intro zenon_H1e5. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e6 ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 1.20/1.40 exact (zenon_H1e2 zenon_H1e8). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e9 ]. % 1.20/1.40 exact (zenon_H1e3 zenon_H1ea). % 1.20/1.40 exact (zenon_H1e4 zenon_H1e9). % 1.20/1.40 (* end of lemma zenon_L223_ *) % 1.20/1.40 assert (zenon_L224_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (~(hskp14)) -> (~(hskp2)) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hec zenon_Hb3 zenon_Hb1 zenon_H10 zenon_H54 zenon_H1 zenon_He9. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.40 apply (zenon_L60_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.40 exact (zenon_H1 zenon_H2). % 1.20/1.40 exact (zenon_He9 zenon_Hea). % 1.20/1.40 (* end of lemma zenon_L224_ *) % 1.20/1.40 assert (zenon_L225_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp2)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H132 zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_He9. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ec ]. % 1.20/1.40 apply (zenon_L223_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Haa | zenon_intro zenon_Hea ]. % 1.20/1.40 apply (zenon_L83_); trivial. % 1.20/1.40 exact (zenon_He9 zenon_Hea). % 1.20/1.40 (* end of lemma zenon_L225_ *) % 1.20/1.40 assert (zenon_L226_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp3)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H165 zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H2d. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ee ]. % 1.20/1.40 apply (zenon_L223_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.20/1.40 apply (zenon_L26_); trivial. % 1.20/1.40 exact (zenon_H2d zenon_H2e). % 1.20/1.40 (* end of lemma zenon_L226_ *) % 1.20/1.40 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1ef zenon_H168 zenon_H1ed zenon_H2d zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_He9 zenon_Hec. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L209_); trivial. % 1.20/1.40 apply (zenon_L226_); trivial. % 1.20/1.40 (* end of lemma zenon_L227_ *) % 1.20/1.40 assert (zenon_L228_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1f2 zenon_H16b zenon_H1eb zenon_H9f zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_Hec zenon_He9 zenon_H2d zenon_H1ed zenon_Hf1 zenon_H168. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_L45_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ee ]. % 1.20/1.40 apply (zenon_L223_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.20/1.40 apply (zenon_L224_); trivial. % 1.20/1.40 exact (zenon_H2d zenon_H2e). % 1.20/1.40 apply (zenon_L225_); trivial. % 1.20/1.40 apply (zenon_L226_); trivial. % 1.20/1.40 apply (zenon_L227_); trivial. % 1.20/1.40 (* end of lemma zenon_L228_ *) % 1.20/1.40 assert (zenon_L229_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hce zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5. % 1.20/1.40 generalize (zenon_Hce (a444)). zenon_intro zenon_H1f6. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f7 ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1f8 ]. % 1.20/1.40 exact (zenon_H1f3 zenon_H1f9). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ]. % 1.20/1.40 exact (zenon_H1f4 zenon_H1fb). % 1.20/1.40 exact (zenon_H1fa zenon_H1f5). % 1.20/1.40 (* end of lemma zenon_L229_ *) % 1.20/1.40 assert (zenon_L230_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c1_1 (a447)) -> (c2_1 (a447)) -> (c3_1 (a447)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H19d zenon_H10 zenon_H78 zenon_H70 zenon_H71. % 1.20/1.40 generalize (zenon_H19d (a447)). zenon_intro zenon_H1fc. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H1fc); [ zenon_intro zenon_Hf | zenon_intro zenon_H1fd ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H7c | zenon_intro zenon_H74 ]. % 1.20/1.40 exact (zenon_H7c zenon_H78). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 1.20/1.40 exact (zenon_H77 zenon_H70). % 1.20/1.40 exact (zenon_H76 zenon_H71). % 1.20/1.40 (* end of lemma zenon_L230_ *) % 1.20/1.40 assert (zenon_L231_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp16)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H7f zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H60. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.20/1.40 apply (zenon_L229_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.20/1.40 apply (zenon_L230_); trivial. % 1.20/1.40 exact (zenon_H60 zenon_H61). % 1.20/1.40 (* end of lemma zenon_L231_ *) % 1.20/1.40 assert (zenon_L232_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.40 apply (zenon_L29_); trivial. % 1.20/1.40 apply (zenon_L231_); trivial. % 1.20/1.40 (* end of lemma zenon_L232_ *) % 1.20/1.40 assert (zenon_L233_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.20/1.40 do 0 intro. intros zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H99. % 1.20/1.40 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hce | zenon_intro zenon_He8 ]. % 1.20/1.40 apply (zenon_L229_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H54 | zenon_intro zenon_H9a ]. % 1.20/1.40 apply (zenon_L26_); trivial. % 1.20/1.40 exact (zenon_H99 zenon_H9a). % 1.20/1.40 (* end of lemma zenon_L233_ *) % 1.20/1.40 assert (zenon_L234_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_H50 zenon_Hf1 zenon_H88 zenon_H93 zenon_Hba zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.40 apply (zenon_L232_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_L233_); trivial. % 1.20/1.40 apply (zenon_L178_); trivial. % 1.20/1.40 (* end of lemma zenon_L234_ *) % 1.20/1.40 assert (zenon_L235_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H168 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H93 zenon_Hba zenon_H1c8 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H2b zenon_H2d zenon_H2f zenon_H47 zenon_H4d zenon_H50 zenon_H189. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L170_); trivial. % 1.20/1.40 apply (zenon_L234_); trivial. % 1.20/1.40 (* end of lemma zenon_L235_ *) % 1.20/1.40 assert (zenon_L236_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp16)) -> (~(hskp29)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H163 zenon_H60 zenon_H5e zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H62 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H10 zenon_H142. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H12d | zenon_intro zenon_H164 ]. % 1.20/1.40 apply (zenon_L86_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hce | zenon_intro zenon_H143 ]. % 1.20/1.40 apply (zenon_L229_); trivial. % 1.20/1.40 exact (zenon_H142 zenon_H143). % 1.20/1.40 (* end of lemma zenon_L236_ *) % 1.20/1.40 assert (zenon_L237_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hf2 zenon_H85 zenon_H1a3 zenon_H62 zenon_H60 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.40 apply (zenon_L236_); trivial. % 1.20/1.40 apply (zenon_L231_); trivial. % 1.20/1.40 (* end of lemma zenon_L237_ *) % 1.20/1.40 assert (zenon_L238_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hf1 zenon_H85 zenon_H1a3 zenon_H62 zenon_H60 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163 zenon_H99 zenon_H9b zenon_H9f. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_L45_); trivial. % 1.20/1.40 apply (zenon_L237_); trivial. % 1.20/1.40 (* end of lemma zenon_L238_ *) % 1.20/1.40 assert (zenon_L239_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp24)) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp14)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H51 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H1. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.20/1.40 apply (zenon_L229_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.20/1.40 apply (zenon_L49_); trivial. % 1.20/1.40 exact (zenon_H1 zenon_H2). % 1.20/1.40 (* end of lemma zenon_L239_ *) % 1.20/1.40 assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1a3 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H130 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.40 apply (zenon_L239_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.40 apply (zenon_L87_); trivial. % 1.20/1.40 apply (zenon_L231_); trivial. % 1.20/1.40 (* end of lemma zenon_L240_ *) % 1.20/1.40 assert (zenon_L241_ : (forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28)))))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1fe zenon_H10 zenon_H11f zenon_H114 zenon_H115 zenon_H116. % 1.20/1.40 generalize (zenon_H1fe (a463)). zenon_intro zenon_H1ff. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H1ff); [ zenon_intro zenon_Hf | zenon_intro zenon_H200 ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H123 | zenon_intro zenon_H201 ]. % 1.20/1.40 exact (zenon_H11f zenon_H123). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H117 | zenon_intro zenon_H11b ]. % 1.20/1.40 apply (zenon_L78_); trivial. % 1.20/1.40 exact (zenon_H11b zenon_H115). % 1.20/1.40 (* end of lemma zenon_L241_ *) % 1.20/1.40 assert (zenon_L242_ : ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28)))))) -> (~(hskp29)) -> (~(hskp0)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H124 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H1fe zenon_H5e zenon_Hff. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H114 | zenon_intro zenon_H125 ]. % 1.20/1.40 apply (zenon_L241_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H5f | zenon_intro zenon_H100 ]. % 1.20/1.40 exact (zenon_H5e zenon_H5f). % 1.20/1.40 exact (zenon_Hff zenon_H100). % 1.20/1.40 (* end of lemma zenon_L242_ *) % 1.20/1.40 assert (zenon_L243_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp0)) -> (~(hskp29)) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H202 zenon_Hff zenon_H5e zenon_H11f zenon_H115 zenon_H116 zenon_H124 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H2d. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ee ]. % 1.20/1.40 apply (zenon_L242_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.20/1.40 apply (zenon_L26_); trivial. % 1.20/1.40 exact (zenon_H2d zenon_H2e). % 1.20/1.40 (* end of lemma zenon_L243_ *) % 1.20/1.40 assert (zenon_L244_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (~(hskp22)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H14d zenon_Hc0 zenon_Hbc zenon_Hbe. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc1 ]. % 1.20/1.40 apply (zenon_L96_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbf ]. % 1.20/1.40 exact (zenon_Hbc zenon_Hbd). % 1.20/1.40 exact (zenon_Hbe zenon_Hbf). % 1.20/1.40 (* end of lemma zenon_L244_ *) % 1.20/1.40 assert (zenon_L245_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H152 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_Hff zenon_H124 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H9 zenon_H93 zenon_H85. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.40 apply (zenon_L243_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H89 | zenon_intro zenon_H13f ]. % 1.20/1.40 apply (zenon_L38_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H1b | zenon_intro zenon_H13d ]. % 1.20/1.40 apply (zenon_L112_); trivial. % 1.20/1.40 exact (zenon_H13c zenon_H13d). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.20/1.40 apply (zenon_L38_); trivial. % 1.20/1.40 exact (zenon_H9 zenon_Ha). % 1.20/1.40 apply (zenon_L244_); trivial. % 1.20/1.40 (* end of lemma zenon_L245_ *) % 1.20/1.40 assert (zenon_L246_ : (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H42 zenon_H10 zenon_H8a zenon_H1af zenon_H8b zenon_H8c. % 1.20/1.40 generalize (zenon_H42 (a457)). zenon_intro zenon_H203. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H203); [ zenon_intro zenon_Hf | zenon_intro zenon_H204 ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H90 | zenon_intro zenon_H205 ]. % 1.20/1.40 exact (zenon_H8a zenon_H90). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H137 | zenon_intro zenon_H91 ]. % 1.20/1.40 generalize (zenon_H1af (a457)). zenon_intro zenon_H206. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H206); [ zenon_intro zenon_Hf | zenon_intro zenon_H207 ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H13b | zenon_intro zenon_H8f ]. % 1.20/1.40 exact (zenon_H137 zenon_H13b). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 1.20/1.40 exact (zenon_H92 zenon_H8b). % 1.20/1.40 exact (zenon_H91 zenon_H8c). % 1.20/1.40 exact (zenon_H91 zenon_H8c). % 1.20/1.40 (* end of lemma zenon_L246_ *) % 1.20/1.40 assert (zenon_L247_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c2_1 (a457))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_H8c zenon_H8b zenon_H1af zenon_H8a zenon_H10 zenon_H9d. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.20/1.40 apply (zenon_L83_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.20/1.40 apply (zenon_L246_); trivial. % 1.20/1.40 exact (zenon_H9d zenon_H9e). % 1.20/1.40 (* end of lemma zenon_L247_ *) % 1.20/1.40 assert (zenon_L248_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H11e zenon_H10 zenon_H208 zenon_H1f4 zenon_H1f5. % 1.20/1.40 generalize (zenon_H11e (a444)). zenon_intro zenon_H209. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H209); [ zenon_intro zenon_Hf | zenon_intro zenon_H20a ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H20b | zenon_intro zenon_H1f8 ]. % 1.20/1.40 exact (zenon_H208 zenon_H20b). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ]. % 1.20/1.40 exact (zenon_H1f4 zenon_H1fb). % 1.20/1.40 exact (zenon_H1fa zenon_H1f5). % 1.20/1.40 (* end of lemma zenon_L248_ *) % 1.20/1.40 assert (zenon_L249_ : (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c3_1 (a444))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (c2_1 (a444)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H20c zenon_H10 zenon_H1f4 zenon_H11e zenon_H1f5. % 1.20/1.40 generalize (zenon_H20c (a444)). zenon_intro zenon_H20d. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_Hf | zenon_intro zenon_H20e ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1fb | zenon_intro zenon_H20f ]. % 1.20/1.40 exact (zenon_H1f4 zenon_H1fb). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H208 | zenon_intro zenon_H1fa ]. % 1.20/1.40 apply (zenon_L248_); trivial. % 1.20/1.40 exact (zenon_H1fa zenon_H1f5). % 1.20/1.40 (* end of lemma zenon_L249_ *) % 1.20/1.40 assert (zenon_L250_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H128 zenon_H1f5 zenon_H1f4 zenon_H10 zenon_H20c zenon_H9d zenon_H126. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.20/1.40 apply (zenon_L249_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.20/1.40 exact (zenon_H9d zenon_H9e). % 1.20/1.40 exact (zenon_H126 zenon_H127). % 1.20/1.40 (* end of lemma zenon_L250_ *) % 1.20/1.40 assert (zenon_L251_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_Hba zenon_H1c8 zenon_H8c zenon_H8b zenon_H8a zenon_H116 zenon_H115 zenon_H11f zenon_H128 zenon_H126 zenon_H1f5 zenon_H1f4 zenon_H210. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.40 apply (zenon_L65_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.40 apply (zenon_L247_); trivial. % 1.20/1.40 apply (zenon_L250_); trivial. % 1.20/1.40 apply (zenon_L176_); trivial. % 1.20/1.40 (* end of lemma zenon_L251_ *) % 1.20/1.40 assert (zenon_L252_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H7f zenon_H1a7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H10a zenon_H109 zenon_H108. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.20/1.40 apply (zenon_L229_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.20/1.40 apply (zenon_L76_); trivial. % 1.20/1.40 apply (zenon_L230_); trivial. % 1.20/1.40 (* end of lemma zenon_L252_ *) % 1.20/1.40 assert (zenon_L253_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H85 zenon_H1a7 zenon_H10a zenon_H109 zenon_H108 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H9d zenon_H126 zenon_H128. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.40 apply (zenon_L82_); trivial. % 1.20/1.40 apply (zenon_L252_); trivial. % 1.20/1.40 (* end of lemma zenon_L253_ *) % 1.20/1.40 assert (zenon_L254_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> (~(c0_1 (a444))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H132 zenon_H169 zenon_H1f3 zenon_H1a7 zenon_H152 zenon_Hc0 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_Hff zenon_H124 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H9 zenon_H93 zenon_H85 zenon_H210 zenon_H1f4 zenon_H1f5 zenon_H126 zenon_H128 zenon_H1c8 zenon_Hba zenon_H88 zenon_Hf1 zenon_H16a. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.40 apply (zenon_L245_); trivial. % 1.20/1.40 apply (zenon_L251_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_L253_); trivial. % 1.20/1.40 apply (zenon_L176_); trivial. % 1.20/1.40 (* end of lemma zenon_L254_ *) % 1.20/1.40 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_H169 zenon_H1a7 zenon_H152 zenon_Hc0 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_H13e zenon_H9 zenon_H93 zenon_H210 zenon_H126 zenon_H128 zenon_H1c8 zenon_Hba zenon_H88 zenon_Hf1 zenon_H16a zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.40 apply (zenon_L232_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_L233_); trivial. % 1.20/1.40 apply (zenon_L254_); trivial. % 1.20/1.40 (* end of lemma zenon_L255_ *) % 1.20/1.40 assert (zenon_L256_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H169 zenon_H1a7 zenon_H152 zenon_Hc0 zenon_H202 zenon_H13e zenon_H210 zenon_H1c8 zenon_H16a zenon_He7 zenon_H16b zenon_H88 zenon_H130 zenon_Hba zenon_H1ca zenon_H128 zenon_H126 zenon_Hff zenon_H124 zenon_H9f zenon_H9b zenon_H163 zenon_H142 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_H1a3 zenon_H85 zenon_Hf1 zenon_H53 zenon_H2d zenon_H2b zenon_H9 zenon_H93 zenon_H98. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_L238_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.40 apply (zenon_L82_); trivial. % 1.20/1.40 apply (zenon_L231_); trivial. % 1.20/1.40 apply (zenon_L240_); trivial. % 1.20/1.40 apply (zenon_L40_); trivial. % 1.20/1.40 apply (zenon_L255_); trivial. % 1.20/1.40 (* end of lemma zenon_L256_ *) % 1.20/1.40 assert (zenon_L257_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1b6 zenon_H169 zenon_H1a7 zenon_H152 zenon_Hc0 zenon_H202 zenon_H13e zenon_H210 zenon_H16a zenon_H130 zenon_H1ca zenon_H128 zenon_H126 zenon_Hff zenon_H124 zenon_H9f zenon_H9b zenon_H163 zenon_H142 zenon_H53 zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2f zenon_H2d zenon_H2b zenon_H33 zenon_H9 zenon_Hd zenon_H7 zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_He7 zenon_H1c8 zenon_Hba zenon_H93 zenon_H88 zenon_Hf1 zenon_H16b zenon_H98 zenon_H168. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.40 apply (zenon_L235_); trivial. % 1.20/1.40 apply (zenon_L256_); trivial. % 1.20/1.40 (* end of lemma zenon_L257_ *) % 1.20/1.40 assert (zenon_L258_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp14)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_Hde zenon_H1. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.20/1.40 apply (zenon_L229_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.20/1.40 apply (zenon_L107_); trivial. % 1.20/1.40 exact (zenon_H1 zenon_H2). % 1.20/1.40 (* end of lemma zenon_L258_ *) % 1.20/1.40 assert (zenon_L259_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hec zenon_H10 zenon_H174 zenon_H175 zenon_H176 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ca zenon_H1 zenon_He9. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.40 apply (zenon_L258_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.40 exact (zenon_H1 zenon_H2). % 1.20/1.40 exact (zenon_He9 zenon_Hea). % 1.20/1.40 (* end of lemma zenon_L259_ *) % 1.20/1.40 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1d1 zenon_H168 zenon_H98 zenon_H16b zenon_H169 zenon_H1a7 zenon_H152 zenon_Hc0 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_H13e zenon_H9 zenon_H93 zenon_H210 zenon_H126 zenon_H128 zenon_H1c8 zenon_Hba zenon_H88 zenon_Hf1 zenon_H16a zenon_He7 zenon_H62 zenon_H1a3 zenon_H85 zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_He9 zenon_Hec. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L259_); trivial. % 1.20/1.40 apply (zenon_L255_); trivial. % 1.20/1.40 (* end of lemma zenon_L260_ *) % 1.20/1.40 assert (zenon_L261_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1ef zenon_H168 zenon_H98 zenon_H16b zenon_H169 zenon_H1a7 zenon_H152 zenon_Hc0 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_H13e zenon_H9 zenon_H93 zenon_H210 zenon_H126 zenon_H128 zenon_H1c8 zenon_Hba zenon_H88 zenon_Hf1 zenon_H16a zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_He9 zenon_Hec. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L209_); trivial. % 1.20/1.40 apply (zenon_L255_); trivial. % 1.20/1.40 (* end of lemma zenon_L261_ *) % 1.20/1.40 assert (zenon_L262_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.20/1.40 do 0 intro. intros zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_Hb3 zenon_Hde zenon_Hb1 zenon_H10 zenon_H99. % 1.20/1.40 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hce | zenon_intro zenon_He8 ]. % 1.20/1.40 apply (zenon_L229_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H54 | zenon_intro zenon_H9a ]. % 1.20/1.40 apply (zenon_L60_); trivial. % 1.20/1.40 exact (zenon_H99 zenon_H9a). % 1.20/1.40 (* end of lemma zenon_L262_ *) % 1.20/1.40 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H165 zenon_H16b zenon_H1eb zenon_He9 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_L233_); trivial. % 1.20/1.40 apply (zenon_L225_); trivial. % 1.20/1.40 (* end of lemma zenon_L263_ *) % 1.20/1.40 assert (zenon_L264_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1ef zenon_H168 zenon_H16b zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_He9 zenon_Hec. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L209_); trivial. % 1.20/1.40 apply (zenon_L263_); trivial. % 1.20/1.40 (* end of lemma zenon_L264_ *) % 1.20/1.40 assert (zenon_L265_ : ((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H212 zenon_H1f2 zenon_H16b zenon_H1eb zenon_H9f zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_He9 zenon_Hec zenon_Hf1 zenon_H168. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.40 apply (zenon_L45_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.20/1.40 apply (zenon_L262_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.20/1.40 exact (zenon_H1 zenon_H2). % 1.20/1.40 exact (zenon_He9 zenon_Hea). % 1.20/1.40 apply (zenon_L225_); trivial. % 1.20/1.40 apply (zenon_L263_); trivial. % 1.20/1.40 apply (zenon_L264_); trivial. % 1.20/1.40 (* end of lemma zenon_L265_ *) % 1.20/1.40 assert (zenon_L266_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H215 zenon_H1eb zenon_H1d0 zenon_He9 zenon_Hec zenon_H168 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H93 zenon_Hba zenon_H1c8 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H7 zenon_Hd zenon_H9 zenon_H33 zenon_H2d zenon_H2f zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H53 zenon_H163 zenon_H9f zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_H1ca zenon_H130 zenon_H16a zenon_H210 zenon_H13e zenon_H202 zenon_Hc0 zenon_H152 zenon_H1a7 zenon_H169 zenon_H1b6 zenon_H1f2. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.40 apply (zenon_L257_); trivial. % 1.20/1.40 apply (zenon_L260_); trivial. % 1.20/1.40 apply (zenon_L261_); trivial. % 1.20/1.40 apply (zenon_L265_); trivial. % 1.20/1.40 (* end of lemma zenon_L266_ *) % 1.20/1.40 assert (zenon_L267_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_H168 zenon_H98 zenon_H93 zenon_H53 zenon_H62 zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H2b zenon_H2d zenon_H2f zenon_H47 zenon_H4d zenon_H50 zenon_H189. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.40 apply (zenon_L170_); trivial. % 1.20/1.40 apply (zenon_L105_); trivial. % 1.20/1.40 (* end of lemma zenon_L267_ *) % 1.20/1.40 assert (zenon_L268_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H25 zenon_H10 zenon_H216 zenon_H217 zenon_H218. % 1.20/1.40 generalize (zenon_H25 (a443)). zenon_intro zenon_H219. % 1.20/1.40 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_Hf | zenon_intro zenon_H21a ]. % 1.20/1.40 exact (zenon_Hf zenon_H10). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21c | zenon_intro zenon_H21b ]. % 1.20/1.40 exact (zenon_H216 zenon_H21c). % 1.20/1.40 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21e | zenon_intro zenon_H21d ]. % 1.20/1.40 exact (zenon_H217 zenon_H21e). % 1.20/1.40 exact (zenon_H21d zenon_H218). % 1.20/1.40 (* end of lemma zenon_L268_ *) % 1.20/1.40 assert (zenon_L269_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.20/1.40 do 0 intro. intros zenon_Hdc zenon_H4a zenon_H38 zenon_H37 zenon_H1b zenon_Hcf zenon_Hd0 zenon_H64 zenon_Hcd zenon_H10 zenon_H7d. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.40 apply (zenon_L154_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.40 apply (zenon_L71_); trivial. % 1.20/1.40 exact (zenon_H7d zenon_H7e). % 1.20/1.40 (* end of lemma zenon_L269_ *) % 1.20/1.40 assert (zenon_L270_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_Hdc zenon_H4a zenon_H38 zenon_H37 zenon_Hcf zenon_Hd0 zenon_H64 zenon_Hcd zenon_H10 zenon_H7d. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.20/1.40 apply (zenon_L268_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.20/1.40 apply (zenon_L71_); trivial. % 1.20/1.40 apply (zenon_L269_); trivial. % 1.20/1.40 (* end of lemma zenon_L270_ *) % 1.20/1.40 assert (zenon_L271_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp8)) -> False). % 1.20/1.40 do 0 intro. intros zenon_H46 zenon_H80 zenon_Hcd zenon_Hd0 zenon_Hcf zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H7d. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.40 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.40 apply (zenon_L270_); trivial. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.40 apply (zenon_L49_); trivial. % 1.20/1.40 exact (zenon_H7d zenon_H7e). % 1.20/1.40 (* end of lemma zenon_L271_ *) % 1.20/1.40 assert (zenon_L272_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.40 do 0 intro. intros zenon_Heb zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hba zenon_H216 zenon_H217 zenon_H218 zenon_Hdc zenon_H1ad zenon_H101 zenon_Hff zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H10 zenon_Hc7 zenon_H7d zenon_H51 zenon_H103 zenon_H4d. % 1.20/1.40 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.40 apply (zenon_L70_); trivial. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.40 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.40 apply (zenon_L67_); trivial. % 1.20/1.40 apply (zenon_L271_); trivial. % 1.20/1.40 (* end of lemma zenon_L272_ *) % 1.20/1.41 assert (zenon_L273_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H169 zenon_Hf1 zenon_H88 zenon_Heb zenon_Hec zenon_He9 zenon_H1 zenon_Hdc zenon_He7 zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H99 zenon_H9b zenon_H9f zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H101 zenon_Hff zenon_H103 zenon_H4d zenon_H16a. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.41 apply (zenon_L64_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L45_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.41 apply (zenon_L272_); trivial. % 1.20/1.41 apply (zenon_L63_); trivial. % 1.20/1.41 apply (zenon_L77_); trivial. % 1.20/1.41 (* end of lemma zenon_L273_ *) % 1.20/1.41 assert (zenon_L274_ : (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H42 zenon_H10 zenon_H217 zenon_H192 zenon_H216 zenon_H218. % 1.20/1.41 generalize (zenon_H42 (a443)). zenon_intro zenon_H21f. % 1.20/1.41 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_Hf | zenon_intro zenon_H220 ]. % 1.20/1.41 exact (zenon_Hf zenon_H10). % 1.20/1.41 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21e | zenon_intro zenon_H221 ]. % 1.20/1.41 exact (zenon_H217 zenon_H21e). % 1.20/1.41 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H222 | zenon_intro zenon_H21d ]. % 1.20/1.41 generalize (zenon_H192 (a443)). zenon_intro zenon_H223. % 1.20/1.41 apply (zenon_imply_s _ _ zenon_H223); [ zenon_intro zenon_Hf | zenon_intro zenon_H224 ]. % 1.20/1.41 exact (zenon_Hf zenon_H10). % 1.20/1.41 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H226 | zenon_intro zenon_H225 ]. % 1.20/1.41 exact (zenon_H222 zenon_H226). % 1.20/1.41 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ]. % 1.20/1.41 exact (zenon_H216 zenon_H21c). % 1.20/1.41 exact (zenon_H21d zenon_H218). % 1.20/1.41 exact (zenon_H21d zenon_H218). % 1.20/1.41 (* end of lemma zenon_L274_ *) % 1.20/1.41 assert (zenon_L275_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.20/1.41 apply (zenon_L83_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.20/1.41 apply (zenon_L274_); trivial. % 1.20/1.41 exact (zenon_H9d zenon_H9e). % 1.20/1.41 (* end of lemma zenon_L275_ *) % 1.20/1.41 assert (zenon_L276_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H19b zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H42 zenon_H7d zenon_H142. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H192 | zenon_intro zenon_H19c ]. % 1.20/1.41 apply (zenon_L274_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H7e | zenon_intro zenon_H143 ]. % 1.20/1.41 exact (zenon_H7d zenon_H7e). % 1.20/1.41 exact (zenon_H142 zenon_H143). % 1.20/1.41 (* end of lemma zenon_L276_ *) % 1.20/1.41 assert (zenon_L277_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_H217 zenon_H216 zenon_H218 zenon_H9d zenon_H1c8. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.20/1.41 apply (zenon_L275_); trivial. % 1.20/1.41 apply (zenon_L276_); trivial. % 1.20/1.41 (* end of lemma zenon_L277_ *) % 1.20/1.41 assert (zenon_L278_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (c3_1 (a447)) -> (c2_1 (a447)) -> (c1_1 (a447)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1a3 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hcc zenon_H71 zenon_H70 zenon_H78 zenon_H10 zenon_H60. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.20/1.41 apply (zenon_L58_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.20/1.41 apply (zenon_L230_); trivial. % 1.20/1.41 exact (zenon_H60 zenon_H61). % 1.20/1.41 (* end of lemma zenon_L278_ *) % 1.20/1.41 assert (zenon_L279_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (~(hskp16)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H7f zenon_H161 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H218 zenon_H217 zenon_H216 zenon_H1a3 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_H60. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.41 apply (zenon_L59_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.41 apply (zenon_L268_); trivial. % 1.20/1.41 apply (zenon_L278_); trivial. % 1.20/1.41 (* end of lemma zenon_L279_ *) % 1.20/1.41 assert (zenon_L280_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_Heb zenon_H85 zenon_H161 zenon_H1a3 zenon_Hdc zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hc7 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H19b zenon_H142 zenon_H7d zenon_H227. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L277_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.41 apply (zenon_L84_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.41 apply (zenon_L56_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.41 apply (zenon_L87_); trivial. % 1.20/1.41 apply (zenon_L279_); trivial. % 1.20/1.41 (* end of lemma zenon_L280_ *) % 1.20/1.41 assert (zenon_L281_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H16b zenon_H85 zenon_H161 zenon_H1a3 zenon_H62 zenon_H60 zenon_H124 zenon_H130 zenon_H1c8 zenon_H19b zenon_H142 zenon_H227 zenon_H16a zenon_H4d zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H9f zenon_H9b zenon_Hc0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H80 zenon_H7d zenon_Hc7 zenon_He7 zenon_Hdc zenon_H1 zenon_He9 zenon_Hec zenon_Heb zenon_H88 zenon_Hf1 zenon_H169. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.41 apply (zenon_L273_); trivial. % 1.20/1.41 apply (zenon_L280_); trivial. % 1.20/1.41 (* end of lemma zenon_L281_ *) % 1.20/1.41 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> False). % 1.20/1.41 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hbc zenon_Hbe zenon_Hc0. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.41 apply (zenon_L52_); trivial. % 1.20/1.41 apply (zenon_L39_); trivial. % 1.20/1.41 (* end of lemma zenon_L282_ *) % 1.20/1.41 assert (zenon_L283_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H169 zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H99 zenon_H9b zenon_H9f zenon_Heb zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H16a. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L45_); trivial. % 1.20/1.41 apply (zenon_L282_); trivial. % 1.20/1.41 apply (zenon_L163_); trivial. % 1.20/1.41 apply (zenon_L77_); trivial. % 1.20/1.41 (* end of lemma zenon_L283_ *) % 1.20/1.41 assert (zenon_L284_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H19b zenon_H142 zenon_H7d zenon_H227. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L277_); trivial. % 1.20/1.41 apply (zenon_L176_); trivial. % 1.20/1.41 (* end of lemma zenon_L284_ *) % 1.20/1.41 assert (zenon_L285_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H95 zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H19b zenon_H142 zenon_H227 zenon_H16a zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_Hdc zenon_Heb zenon_H9f zenon_H9b zenon_Hc0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H9 zenon_H93 zenon_H88 zenon_Hf1 zenon_H169. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.41 apply (zenon_L283_); trivial. % 1.20/1.41 apply (zenon_L284_); trivial. % 1.20/1.41 (* end of lemma zenon_L285_ *) % 1.20/1.41 assert (zenon_L286_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H84 zenon_Heb zenon_H85 zenon_H161 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_Hdc zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.41 apply (zenon_L56_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.41 apply (zenon_L29_); trivial. % 1.20/1.41 apply (zenon_L279_); trivial. % 1.20/1.41 (* end of lemma zenon_L286_ *) % 1.20/1.41 assert (zenon_L287_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp12)) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H88 zenon_Heb zenon_H85 zenon_H161 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_Hdc zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_H2b zenon_H2d zenon_H53. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.41 apply (zenon_L25_); trivial. % 1.20/1.41 apply (zenon_L286_); trivial. % 1.20/1.41 (* end of lemma zenon_L287_ *) % 1.20/1.41 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H165 zenon_H98 zenon_H169 zenon_H9 zenon_H93 zenon_Hc0 zenon_H101 zenon_Hff zenon_H103 zenon_H4d zenon_H16a zenon_H53 zenon_H2d zenon_H2b zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H62 zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1a3 zenon_H161 zenon_H85 zenon_Heb zenon_H88. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.41 apply (zenon_L287_); trivial. % 1.20/1.41 apply (zenon_L164_); trivial. % 1.20/1.41 (* end of lemma zenon_L288_ *) % 1.20/1.41 assert (zenon_L289_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H53 zenon_H2d zenon_H2b zenon_H16b zenon_H85 zenon_H161 zenon_H1a3 zenon_H62 zenon_H124 zenon_H130 zenon_H1c8 zenon_H19b zenon_H142 zenon_H227 zenon_H16a zenon_H4d zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H9f zenon_H9b zenon_Hc0 zenon_Hba zenon_H80 zenon_H7d zenon_Hc7 zenon_He7 zenon_Hdc zenon_He9 zenon_Hec zenon_Heb zenon_H88 zenon_Hf1 zenon_H169 zenon_H93 zenon_H9 zenon_H98. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.41 apply (zenon_L281_); trivial. % 1.20/1.41 apply (zenon_L285_); trivial. % 1.20/1.41 apply (zenon_L288_); trivial. % 1.20/1.41 (* end of lemma zenon_L289_ *) % 1.20/1.41 assert (zenon_L290_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H98 zenon_H152 zenon_H13e zenon_H169 zenon_Hf1 zenon_H88 zenon_Heb zenon_Hec zenon_He9 zenon_H1 zenon_Hdc zenon_He7 zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H9b zenon_H9f zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H101 zenon_Hff zenon_H103 zenon_H4d zenon_H16a zenon_H227 zenon_H142 zenon_H19b zenon_H1c8 zenon_H130 zenon_H124 zenon_H62 zenon_H1a3 zenon_H161 zenon_H85 zenon_H16b. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.41 apply (zenon_L281_); trivial. % 1.20/1.41 apply (zenon_L194_); trivial. % 1.20/1.41 (* end of lemma zenon_L290_ *) % 1.20/1.41 assert (zenon_L291_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H1b4 zenon_H1b2 zenon_H175 zenon_H176 zenon_H174 zenon_H16b zenon_H85 zenon_H161 zenon_H1a3 zenon_H62 zenon_H124 zenon_H130 zenon_H1c8 zenon_H19b zenon_H142 zenon_H227 zenon_H16a zenon_H4d zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H9f zenon_H9b zenon_Hc0 zenon_Hba zenon_H80 zenon_H7d zenon_Hc7 zenon_He7 zenon_Hdc zenon_He9 zenon_Hec zenon_Heb zenon_H88 zenon_Hf1 zenon_H169 zenon_H13e zenon_H152 zenon_H98. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.41 apply (zenon_L290_); trivial. % 1.20/1.41 apply (zenon_L168_); trivial. % 1.20/1.41 (* end of lemma zenon_L291_ *) % 1.20/1.41 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H19b zenon_H142 zenon_H7d zenon_H227. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L277_); trivial. % 1.20/1.41 apply (zenon_L192_); trivial. % 1.20/1.41 (* end of lemma zenon_L292_ *) % 1.20/1.41 assert (zenon_L293_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H19b zenon_H142 zenon_H227 zenon_H9f zenon_H9b zenon_He7 zenon_H57 zenon_H56 zenon_H55 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H62 zenon_H60 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H5 zenon_H1ce zenon_H85 zenon_H88 zenon_Hf1. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L45_); trivial. % 1.20/1.41 apply (zenon_L197_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L277_); trivial. % 1.20/1.41 apply (zenon_L199_); trivial. % 1.20/1.41 (* end of lemma zenon_L293_ *) % 1.20/1.41 assert (zenon_L294_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H168 zenon_H50 zenon_Hd zenon_H9 zenon_H93 zenon_He7 zenon_H16b zenon_H85 zenon_H1ce zenon_H5 zenon_H62 zenon_H124 zenon_Hff zenon_H130 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H19b zenon_H142 zenon_H227 zenon_H9f zenon_H9b zenon_Hec zenon_He9 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H174 zenon_H175 zenon_H176 zenon_H1ca zenon_H80 zenon_H7d zenon_H88 zenon_Hf1 zenon_H13e zenon_H152 zenon_H98. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.41 apply (zenon_L189_); trivial. % 1.20/1.41 apply (zenon_L292_); trivial. % 1.20/1.41 apply (zenon_L194_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.41 apply (zenon_L293_); trivial. % 1.20/1.41 apply (zenon_L179_); trivial. % 1.20/1.41 (* end of lemma zenon_L294_ *) % 1.20/1.41 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H4c zenon_H185 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H3 zenon_H190 zenon_H182. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.41 apply (zenon_L208_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.41 apply (zenon_L116_); trivial. % 1.20/1.41 exact (zenon_H182 zenon_H183). % 1.20/1.41 (* end of lemma zenon_L295_ *) % 1.20/1.41 assert (zenon_L296_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H50 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H9 zenon_H5 zenon_Hd. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.41 apply (zenon_L7_); trivial. % 1.20/1.41 apply (zenon_L295_); trivial. % 1.20/1.41 (* end of lemma zenon_L296_ *) % 1.20/1.41 assert (zenon_L297_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H31. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.41 apply (zenon_L9_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.41 apply (zenon_L268_); trivial. % 1.20/1.41 exact (zenon_H31 zenon_H32). % 1.20/1.41 (* end of lemma zenon_L297_ *) % 1.20/1.41 assert (zenon_L298_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H47 zenon_H26 zenon_H1e zenon_H1c zenon_H38 zenon_H37 zenon_H1b zenon_H10 zenon_H217 zenon_H192 zenon_H216 zenon_H218. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.20/1.41 apply (zenon_L115_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.20/1.41 apply (zenon_L18_); trivial. % 1.20/1.41 apply (zenon_L274_); trivial. % 1.20/1.41 (* end of lemma zenon_L298_ *) % 1.20/1.41 assert (zenon_L299_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H46 zenon_H227 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H47 zenon_H218 zenon_H216 zenon_H217 zenon_H26 zenon_H1e zenon_H1c zenon_H5 zenon_H1ce. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.41 apply (zenon_L208_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.41 apply (zenon_L298_); trivial. % 1.20/1.41 exact (zenon_H5 zenon_H6). % 1.20/1.41 apply (zenon_L20_); trivial. % 1.20/1.41 (* end of lemma zenon_L299_ *) % 1.20/1.41 assert (zenon_L300_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H4c zenon_H4d zenon_H227 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H47 zenon_H5 zenon_H1ce zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.41 apply (zenon_L297_); trivial. % 1.20/1.41 apply (zenon_L299_); trivial. % 1.20/1.41 (* end of lemma zenon_L300_ *) % 1.20/1.41 assert (zenon_L301_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H227 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H47 zenon_H1ce zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_H5 zenon_Hd. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.41 apply (zenon_L7_); trivial. % 1.20/1.41 apply (zenon_L300_); trivial. % 1.20/1.41 (* end of lemma zenon_L301_ *) % 1.20/1.41 assert (zenon_L302_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H189 zenon_H4d zenon_H227 zenon_H47 zenon_H1ce zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Hd zenon_H5 zenon_H9 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H190 zenon_H182 zenon_H185 zenon_H50. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.41 apply (zenon_L296_); trivial. % 1.20/1.41 apply (zenon_L301_); trivial. % 1.20/1.41 (* end of lemma zenon_L302_ *) % 1.20/1.41 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H169 zenon_H9 zenon_H93 zenon_Hc0 zenon_H101 zenon_Hff zenon_H103 zenon_H4d zenon_H16a zenon_H53 zenon_H2d zenon_H2b zenon_H80 zenon_H7d zenon_Hc7 zenon_H62 zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1a3 zenon_H161 zenon_H85 zenon_Heb zenon_H88 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.41 apply (zenon_L209_); trivial. % 1.20/1.41 apply (zenon_L288_); trivial. % 1.20/1.41 (* end of lemma zenon_L303_ *) % 1.20/1.41 assert (zenon_L304_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1b6 zenon_H168 zenon_H98 zenon_H169 zenon_H93 zenon_Hc0 zenon_H101 zenon_Hff zenon_H103 zenon_H16a zenon_H53 zenon_H2d zenon_H2b zenon_H80 zenon_H7d zenon_Hc7 zenon_H62 zenon_Hdc zenon_H1a3 zenon_H161 zenon_H85 zenon_Heb zenon_H88 zenon_He9 zenon_Hec zenon_H50 zenon_H185 zenon_H182 zenon_H190 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H9 zenon_Hd zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1ce zenon_H47 zenon_H227 zenon_H4d zenon_H189. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.41 apply (zenon_L302_); trivial. % 1.20/1.41 apply (zenon_L303_); trivial. % 1.20/1.41 (* end of lemma zenon_L304_ *) % 1.20/1.41 assert (zenon_L305_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H47 zenon_H1ce zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.41 apply (zenon_L4_); trivial. % 1.20/1.41 apply (zenon_L301_); trivial. % 1.20/1.41 (* end of lemma zenon_L305_ *) % 1.20/1.41 assert (zenon_L306_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ba zenon_Hce zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.20/1.41 apply (zenon_L171_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.20/1.41 apply (zenon_L274_); trivial. % 1.20/1.41 exact (zenon_H9d zenon_H9e). % 1.20/1.41 (* end of lemma zenon_L306_ *) % 1.20/1.41 assert (zenon_L307_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.20/1.41 do 0 intro. intros zenon_He7 zenon_H9d zenon_H217 zenon_H192 zenon_H216 zenon_H218 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H99. % 1.20/1.41 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hce | zenon_intro zenon_He8 ]. % 1.20/1.41 apply (zenon_L306_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H54 | zenon_intro zenon_H9a ]. % 1.20/1.41 apply (zenon_L26_); trivial. % 1.20/1.41 exact (zenon_H99 zenon_H9a). % 1.20/1.41 (* end of lemma zenon_L307_ *) % 1.20/1.41 assert (zenon_L308_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H1bc zenon_H1bb zenon_H1ba zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.20/1.41 apply (zenon_L307_); trivial. % 1.20/1.41 apply (zenon_L276_); trivial. % 1.20/1.41 (* end of lemma zenon_L308_ *) % 1.20/1.41 assert (zenon_L309_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp19)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H33 zenon_H3 zenon_H1c zenon_H1e zenon_H26 zenon_H190 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H31. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.41 apply (zenon_L116_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.41 apply (zenon_L268_); trivial. % 1.20/1.41 exact (zenon_H31 zenon_H32). % 1.20/1.41 (* end of lemma zenon_L309_ *) % 1.20/1.41 assert (zenon_L310_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> False). % 1.20/1.41 do 0 intro. intros zenon_Haa zenon_H10 zenon_H1b zenon_H37 zenon_H38 zenon_H4a. % 1.20/1.41 generalize (zenon_Haa (a437)). zenon_intro zenon_H228. % 1.20/1.41 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_Hf | zenon_intro zenon_H229 ]. % 1.20/1.41 exact (zenon_Hf zenon_H10). % 1.20/1.41 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H3c | zenon_intro zenon_H22a ]. % 1.20/1.41 apply (zenon_L153_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H3e | zenon_intro zenon_H1ac ]. % 1.20/1.41 exact (zenon_H3e zenon_H37). % 1.20/1.41 exact (zenon_H1ac zenon_H4a). % 1.20/1.41 (* end of lemma zenon_L310_ *) % 1.20/1.41 assert (zenon_L311_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1c8 zenon_H4a zenon_H38 zenon_H37 zenon_H1b zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.20/1.41 apply (zenon_L310_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.20/1.41 apply (zenon_L274_); trivial. % 1.20/1.41 exact (zenon_H9d zenon_H9e). % 1.20/1.41 (* end of lemma zenon_L311_ *) % 1.20/1.41 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H46 zenon_H227 zenon_H1e zenon_H1c zenon_H26 zenon_H13e zenon_H13c zenon_H8c zenon_H8b zenon_H8a zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H5 zenon_H1ce. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.41 apply (zenon_L93_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.41 apply (zenon_L311_); trivial. % 1.20/1.41 exact (zenon_H5 zenon_H6). % 1.20/1.41 apply (zenon_L20_); trivial. % 1.20/1.41 (* end of lemma zenon_L312_ *) % 1.20/1.41 assert (zenon_L313_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H1ce zenon_H5 zenon_H9d zenon_H1c8 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H227 zenon_H4d. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.41 apply (zenon_L309_); trivial. % 1.20/1.41 apply (zenon_L312_); trivial. % 1.20/1.41 apply (zenon_L125_); trivial. % 1.20/1.41 (* end of lemma zenon_L313_ *) % 1.20/1.41 assert (zenon_L314_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H50 zenon_Hf1 zenon_H88 zenon_H93 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7 zenon_H4d zenon_H227 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H1c8 zenon_H1ce zenon_H190 zenon_H3 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152 zenon_H9 zenon_H5 zenon_Hd. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.41 apply (zenon_L7_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L313_); trivial. % 1.20/1.41 apply (zenon_L174_); trivial. % 1.20/1.41 (* end of lemma zenon_L314_ *) % 1.20/1.41 assert (zenon_L315_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H189 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H47 zenon_Hd zenon_H5 zenon_H9 zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H1ce zenon_H1c8 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H227 zenon_H4d zenon_He7 zenon_H99 zenon_H57 zenon_H56 zenon_H55 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H93 zenon_H88 zenon_Hf1 zenon_H50. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.41 apply (zenon_L314_); trivial. % 1.20/1.41 apply (zenon_L301_); trivial. % 1.20/1.41 (* end of lemma zenon_L315_ *) % 1.20/1.41 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H95 zenon_H16b zenon_H50 zenon_Hf1 zenon_H88 zenon_H93 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_He7 zenon_H4d zenon_H227 zenon_H13e zenon_H1c8 zenon_H1ce zenon_H190 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152 zenon_H9 zenon_H5 zenon_Hd zenon_H47 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H189. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.41 apply (zenon_L315_); trivial. % 1.20/1.41 apply (zenon_L178_); trivial. % 1.20/1.41 (* end of lemma zenon_L316_ *) % 1.20/1.41 assert (zenon_L317_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.20/1.41 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_Heb zenon_H85 zenon_H161 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_Hdc zenon_H60 zenon_H62 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.41 apply (zenon_L173_); trivial. % 1.20/1.41 apply (zenon_L286_); trivial. % 1.20/1.41 (* end of lemma zenon_L317_ *) % 1.20/1.41 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H165 zenon_H98 zenon_H169 zenon_H9 zenon_H93 zenon_Hc0 zenon_H101 zenon_H103 zenon_H4d zenon_H16a zenon_Hf1 zenon_H88 zenon_Heb zenon_H85 zenon_H161 zenon_H1a3 zenon_Hdc zenon_H62 zenon_Hc7 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_Hba zenon_He7 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H19b zenon_H142 zenon_H7d zenon_H227 zenon_H130 zenon_Hff zenon_H124 zenon_H16b. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L308_); trivial. % 1.20/1.41 apply (zenon_L317_); trivial. % 1.20/1.41 apply (zenon_L280_); trivial. % 1.20/1.41 apply (zenon_L164_); trivial. % 1.20/1.41 (* end of lemma zenon_L318_ *) % 1.20/1.41 assert (zenon_L319_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H130 zenon_H124 zenon_H7 zenon_H16b zenon_H19b zenon_H1c8 zenon_He7 zenon_Hba zenon_Hf1 zenon_H152 zenon_H13e zenon_H1b6 zenon_H168 zenon_H98 zenon_H169 zenon_H93 zenon_Hc0 zenon_H101 zenon_Hff zenon_H103 zenon_H16a zenon_H53 zenon_H2d zenon_H80 zenon_H7d zenon_Hc7 zenon_H62 zenon_Hdc zenon_H1a3 zenon_H161 zenon_H85 zenon_Heb zenon_H88 zenon_He9 zenon_Hec zenon_H50 zenon_H185 zenon_H190 zenon_H9 zenon_Hd zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1ce zenon_H47 zenon_H227 zenon_H4d zenon_H189 zenon_H153 zenon_H142 zenon_H1a7 zenon_H1ad zenon_H16c zenon_H1d0. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.41 apply (zenon_L304_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.41 apply (zenon_L302_); trivial. % 1.20/1.41 apply (zenon_L212_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.41 apply (zenon_L305_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L308_); trivial. % 1.20/1.41 apply (zenon_L215_); trivial. % 1.20/1.41 apply (zenon_L219_); trivial. % 1.20/1.41 apply (zenon_L316_); trivial. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.41 apply (zenon_L209_); trivial. % 1.20/1.41 apply (zenon_L318_); trivial. % 1.20/1.41 (* end of lemma zenon_L319_ *) % 1.20/1.41 assert (zenon_L320_ : ((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H212 zenon_H1f2 zenon_H16b zenon_H1eb zenon_H9f zenon_Hec zenon_He9 zenon_H2d zenon_H1ed zenon_Hf1 zenon_H168. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.20/1.41 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.20/1.41 apply (zenon_L228_); trivial. % 1.20/1.41 (* end of lemma zenon_L320_ *) % 1.20/1.41 assert (zenon_L321_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp0)) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp5)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_Hff zenon_H5e zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_H124 zenon_H1b2. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.20/1.41 apply (zenon_L275_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.20/1.41 apply (zenon_L80_); trivial. % 1.20/1.41 exact (zenon_H1b2 zenon_H1b3). % 1.20/1.41 (* end of lemma zenon_L321_ *) % 1.20/1.41 assert (zenon_L322_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.20/1.41 do 0 intro. intros zenon_H85 zenon_H1a3 zenon_H60 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H124 zenon_Hff zenon_H1b2 zenon_H22b. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.41 apply (zenon_L321_); trivial. % 1.20/1.41 apply (zenon_L231_); trivial. % 1.20/1.41 (* end of lemma zenon_L322_ *) % 1.20/1.41 assert (zenon_L323_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.20/1.41 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.41 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.41 apply (zenon_L239_); trivial. % 1.20/1.41 apply (zenon_L39_); trivial. % 1.20/1.41 (* end of lemma zenon_L323_ *) % 1.20/1.41 assert (zenon_L324_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.20/1.41 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H99 zenon_H9b zenon_H9f. % 1.20/1.41 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.41 apply (zenon_L45_); trivial. % 1.20/1.41 apply (zenon_L323_); trivial. % 1.20/1.41 (* end of lemma zenon_L324_ *) % 1.20/1.41 assert (zenon_L325_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H64 zenon_H10 zenon_H1f3 zenon_H11e zenon_H1f4 zenon_H1f5. % 1.20/1.41 generalize (zenon_H64 (a444)). zenon_intro zenon_H22d. % 1.20/1.41 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_Hf | zenon_intro zenon_H22e ]. % 1.20/1.41 exact (zenon_Hf zenon_H10). % 1.20/1.41 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H20f ]. % 1.20/1.41 exact (zenon_H1f3 zenon_H1f9). % 1.20/1.41 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H208 | zenon_intro zenon_H1fa ]. % 1.20/1.41 apply (zenon_L248_); trivial. % 1.20/1.41 exact (zenon_H1fa zenon_H1f5). % 1.20/1.41 (* end of lemma zenon_L325_ *) % 1.20/1.41 assert (zenon_L326_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (~(c0_1 (a444))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.20/1.41 do 0 intro. intros zenon_H93 zenon_H1f5 zenon_H1f4 zenon_H11e zenon_H1f3 zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H9. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.20/1.41 apply (zenon_L325_); trivial. % 1.20/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.20/1.41 apply (zenon_L38_); trivial. % 1.20/1.41 exact (zenon_H9 zenon_Ha). % 1.20/1.41 (* end of lemma zenon_L326_ *) % 1.20/1.41 assert (zenon_L327_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H95 zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1b2 zenon_H22b zenon_H9f zenon_H9b zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9 zenon_H93 zenon_H88 zenon_Hf1. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.42 apply (zenon_L324_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.20/1.42 apply (zenon_L275_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.20/1.42 apply (zenon_L326_); trivial. % 1.20/1.42 exact (zenon_H1b2 zenon_H1b3). % 1.20/1.42 apply (zenon_L176_); trivial. % 1.20/1.42 (* end of lemma zenon_L327_ *) % 1.20/1.42 assert (zenon_L328_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H98 zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H9 zenon_H93 zenon_H88 zenon_Hf1 zenon_H85 zenon_H1a3 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163 zenon_H9b zenon_H9f zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H124 zenon_Hff zenon_H1b2 zenon_H22b zenon_H16b. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.42 apply (zenon_L238_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.42 apply (zenon_L322_); trivial. % 1.20/1.42 apply (zenon_L237_); trivial. % 1.20/1.42 apply (zenon_L327_); trivial. % 1.20/1.42 (* end of lemma zenon_L328_ *) % 1.20/1.42 assert (zenon_L329_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H1b4 zenon_H9d zenon_H8a zenon_H8b zenon_H8c zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H1b2. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b5 ]. % 1.20/1.42 apply (zenon_L247_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b3 ]. % 1.20/1.42 apply (zenon_L26_); trivial. % 1.20/1.42 exact (zenon_H1b2 zenon_H1b3). % 1.20/1.42 (* end of lemma zenon_L329_ *) % 1.20/1.42 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_Hba zenon_H1c8 zenon_H8c zenon_H8b zenon_H8a zenon_H55 zenon_H56 zenon_H57 zenon_H1b2 zenon_H1b4. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.42 apply (zenon_L329_); trivial. % 1.20/1.42 apply (zenon_L176_); trivial. % 1.20/1.42 (* end of lemma zenon_L330_ *) % 1.20/1.42 assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_Hba zenon_H1c8 zenon_H1b2 zenon_H1b4 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.42 apply (zenon_L232_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.42 apply (zenon_L233_); trivial. % 1.20/1.42 apply (zenon_L330_); trivial. % 1.20/1.42 (* end of lemma zenon_L331_ *) % 1.20/1.42 assert (zenon_L332_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H1b4 zenon_He7 zenon_H16b zenon_H22b zenon_H1b2 zenon_Hff zenon_H124 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H9f zenon_H9b zenon_H163 zenon_H142 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_H1a3 zenon_H85 zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_Hba zenon_H1ca zenon_H98. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.42 apply (zenon_L328_); trivial. % 1.20/1.42 apply (zenon_L331_); trivial. % 1.20/1.42 (* end of lemma zenon_L332_ *) % 1.20/1.42 assert (zenon_L333_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H1d1 zenon_H168 zenon_H1b4 zenon_H1b2 zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_He9 zenon_Hec. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.42 apply (zenon_L259_); trivial. % 1.20/1.42 apply (zenon_L168_); trivial. % 1.20/1.42 (* end of lemma zenon_L333_ *) % 1.20/1.42 assert (zenon_L334_ : (~(hskp30)) -> (hskp30) -> False). % 1.20/1.42 do 0 intro. intros zenon_H22f zenon_H230. % 1.20/1.42 exact (zenon_H22f zenon_H230). % 1.20/1.42 (* end of lemma zenon_L334_ *) % 1.20/1.42 assert (zenon_L335_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp26)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H22f zenon_Hc5. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H89 | zenon_intro zenon_H232 ]. % 1.20/1.42 apply (zenon_L38_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H230 | zenon_intro zenon_Hc6 ]. % 1.20/1.42 exact (zenon_H22f zenon_H230). % 1.20/1.42 exact (zenon_Hc5 zenon_Hc6). % 1.20/1.42 (* end of lemma zenon_L335_ *) % 1.20/1.42 assert (zenon_L336_ : (forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98)))))) -> (ndr1_0) -> (c0_1 (a456)) -> (c1_1 (a456)) -> (c2_1 (a456)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H233 zenon_H10 zenon_H234 zenon_H235 zenon_H236. % 1.20/1.42 generalize (zenon_H233 (a456)). zenon_intro zenon_H237. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H237); [ zenon_intro zenon_Hf | zenon_intro zenon_H238 ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 1.20/1.42 exact (zenon_H23a zenon_H234). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H23c | zenon_intro zenon_H23b ]. % 1.20/1.42 exact (zenon_H23c zenon_H235). % 1.20/1.42 exact (zenon_H23b zenon_H236). % 1.20/1.42 (* end of lemma zenon_L336_ *) % 1.20/1.42 assert (zenon_L337_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a456)) -> (c1_1 (a456)) -> False). % 1.20/1.42 do 0 intro. intros zenon_Hcc zenon_H10 zenon_H1b zenon_H234 zenon_H235. % 1.20/1.42 generalize (zenon_Hcc (a456)). zenon_intro zenon_H23d. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H23d); [ zenon_intro zenon_Hf | zenon_intro zenon_H23e ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H240 | zenon_intro zenon_H23f ]. % 1.20/1.42 generalize (zenon_H1b (a456)). zenon_intro zenon_H241. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H241); [ zenon_intro zenon_Hf | zenon_intro zenon_H242 ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H23a | zenon_intro zenon_H243 ]. % 1.20/1.42 exact (zenon_H23a zenon_H234). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23c | zenon_intro zenon_H244 ]. % 1.20/1.42 exact (zenon_H23c zenon_H235). % 1.20/1.42 exact (zenon_H244 zenon_H240). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H23a | zenon_intro zenon_H23c ]. % 1.20/1.42 exact (zenon_H23a zenon_H234). % 1.20/1.42 exact (zenon_H23c zenon_H235). % 1.20/1.42 (* end of lemma zenon_L337_ *) % 1.20/1.42 assert (zenon_L338_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c1_1 (a463))) -> (c2_1 (a456)) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (c0_1 (a456)) -> (c1_1 (a456)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H245 zenon_H116 zenon_H115 zenon_H114 zenon_H11f zenon_H236 zenon_Hcc zenon_H10 zenon_H234 zenon_H235. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.20/1.42 apply (zenon_L241_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.20/1.42 apply (zenon_L336_); trivial. % 1.20/1.42 apply (zenon_L337_); trivial. % 1.20/1.42 (* end of lemma zenon_L338_ *) % 1.20/1.42 assert (zenon_L339_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c1_1 (a463))) -> (c2_1 (a456)) -> (ndr1_0) -> (c0_1 (a456)) -> (c1_1 (a456)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H218 zenon_H217 zenon_H216 zenon_H245 zenon_H116 zenon_H115 zenon_H114 zenon_H11f zenon_H236 zenon_H10 zenon_H234 zenon_H235. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.42 apply (zenon_L229_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.42 apply (zenon_L268_); trivial. % 1.20/1.42 apply (zenon_L338_); trivial. % 1.20/1.42 (* end of lemma zenon_L339_ *) % 1.20/1.42 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H247 zenon_H248 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H57 zenon_H56 zenon_H55 zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H218 zenon_H217 zenon_H216 zenon_H245 zenon_H116 zenon_H115 zenon_H11f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H24b ]. % 1.20/1.42 apply (zenon_L65_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H54 | zenon_intro zenon_H114 ]. % 1.20/1.42 apply (zenon_L26_); trivial. % 1.20/1.42 apply (zenon_L339_); trivial. % 1.20/1.42 (* end of lemma zenon_L340_ *) % 1.20/1.42 assert (zenon_L341_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H24c zenon_H248 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H216 zenon_H217 zenon_H218 zenon_H245 zenon_H116 zenon_H115 zenon_H11f zenon_H161 zenon_H57 zenon_H56 zenon_H55 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.20/1.42 apply (zenon_L335_); trivial. % 1.20/1.42 apply (zenon_L340_); trivial. % 1.20/1.42 (* end of lemma zenon_L341_ *) % 1.20/1.42 assert (zenon_L342_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp6)) -> False). % 1.20/1.42 do 0 intro. intros zenon_Hed zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H218 zenon_H217 zenon_H216 zenon_H93 zenon_H8c zenon_H8b zenon_H8a zenon_H9. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.42 apply (zenon_L229_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.42 apply (zenon_L268_); trivial. % 1.20/1.42 apply (zenon_L161_); trivial. % 1.20/1.42 (* end of lemma zenon_L342_ *) % 1.20/1.42 assert (zenon_L343_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H111 zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H218 zenon_H217 zenon_H216. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.42 apply (zenon_L229_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.42 apply (zenon_L268_); trivial. % 1.20/1.42 apply (zenon_L76_); trivial. % 1.20/1.42 (* end of lemma zenon_L343_ *) % 1.20/1.42 assert (zenon_L344_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_H169 zenon_H152 zenon_Hc0 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_H13e zenon_H9 zenon_H93 zenon_H24c zenon_H248 zenon_H216 zenon_H217 zenon_H218 zenon_H245 zenon_H161 zenon_H231 zenon_Heb zenon_H16a zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.42 apply (zenon_L232_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.42 apply (zenon_L233_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.42 apply (zenon_L245_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.42 apply (zenon_L341_); trivial. % 1.20/1.42 apply (zenon_L342_); trivial. % 1.20/1.42 apply (zenon_L343_); trivial. % 1.20/1.42 (* end of lemma zenon_L344_ *) % 1.20/1.42 assert (zenon_L345_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H1ef zenon_H168 zenon_H98 zenon_H16b zenon_H169 zenon_H152 zenon_Hc0 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_H13e zenon_H9 zenon_H93 zenon_H24c zenon_H248 zenon_H216 zenon_H217 zenon_H218 zenon_H245 zenon_H161 zenon_H231 zenon_Heb zenon_H16a zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_He9 zenon_Hec. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.42 apply (zenon_L209_); trivial. % 1.20/1.42 apply (zenon_L344_); trivial. % 1.20/1.42 (* end of lemma zenon_L345_ *) % 1.20/1.42 assert (zenon_L346_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H24d zenon_H163 zenon_H22b zenon_H231 zenon_H245 zenon_H248 zenon_H24c zenon_H202 zenon_H1f2 zenon_H153 zenon_H1a7 zenon_H16c zenon_H1d0 zenon_H1b4 zenon_H1b2 zenon_H185 zenon_H14e zenon_H190 zenon_H152 zenon_H13e zenon_H168 zenon_H98 zenon_H93 zenon_H53 zenon_H62 zenon_H80 zenon_H85 zenon_H88 zenon_H7 zenon_Hd zenon_H9 zenon_H33 zenon_H2d zenon_H2f zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H169 zenon_Hf1 zenon_Heb zenon_Hec zenon_He9 zenon_Hdc zenon_He7 zenon_Hc7 zenon_Hba zenon_Hc0 zenon_H9f zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H101 zenon_Hff zenon_H103 zenon_H16a zenon_H227 zenon_H19b zenon_H1c8 zenon_H130 zenon_H124 zenon_H1a3 zenon_H161 zenon_H16b zenon_H1b6 zenon_H1ce zenon_H1ca zenon_H1dd zenon_H1ed zenon_H1eb zenon_H215. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.42 apply (zenon_L267_); trivial. % 1.20/1.42 apply (zenon_L289_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.42 apply (zenon_L134_); trivial. % 1.20/1.42 apply (zenon_L291_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.42 apply (zenon_L181_); trivial. % 1.20/1.42 apply (zenon_L289_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.42 apply (zenon_L294_); trivial. % 1.20/1.42 apply (zenon_L291_); trivial. % 1.20/1.42 apply (zenon_L319_); trivial. % 1.20/1.42 apply (zenon_L320_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.42 apply (zenon_L235_); trivial. % 1.20/1.42 apply (zenon_L332_); trivial. % 1.20/1.42 apply (zenon_L333_); trivial. % 1.20/1.42 apply (zenon_L345_); trivial. % 1.20/1.42 apply (zenon_L265_); trivial. % 1.20/1.42 (* end of lemma zenon_L346_ *) % 1.20/1.42 assert (zenon_L347_ : (forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H251 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.20/1.42 generalize (zenon_H251 (a442)). zenon_intro zenon_H255. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_Hf | zenon_intro zenon_H256 ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 1.20/1.42 exact (zenon_H252 zenon_H258). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.20/1.42 exact (zenon_H25a zenon_H253). % 1.20/1.42 exact (zenon_H259 zenon_H254). % 1.20/1.42 (* end of lemma zenon_L347_ *) % 1.20/1.42 assert (zenon_L348_ : ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp12)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H1 zenon_H2b. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H251 | zenon_intro zenon_H25c ]. % 1.20/1.42 apply (zenon_L347_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H2 | zenon_intro zenon_H2c ]. % 1.20/1.42 exact (zenon_H1 zenon_H2). % 1.20/1.42 exact (zenon_H2b zenon_H2c). % 1.20/1.42 (* end of lemma zenon_L348_ *) % 1.20/1.42 assert (zenon_L349_ : (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c1_1 (a442)) -> (c2_1 (a442)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H20c zenon_H10 zenon_H252 zenon_H25d zenon_H254. % 1.20/1.42 generalize (zenon_H20c (a442)). zenon_intro zenon_H25e. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H25e); [ zenon_intro zenon_Hf | zenon_intro zenon_H25f ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H258 | zenon_intro zenon_H260 ]. % 1.20/1.42 exact (zenon_H252 zenon_H258). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H261 | zenon_intro zenon_H259 ]. % 1.20/1.42 exact (zenon_H261 zenon_H25d). % 1.20/1.42 exact (zenon_H259 zenon_H254). % 1.20/1.42 (* end of lemma zenon_L349_ *) % 1.20/1.42 assert (zenon_L350_ : (forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H1fe zenon_H10 zenon_H20c zenon_H252 zenon_H254 zenon_H253. % 1.20/1.42 generalize (zenon_H1fe (a442)). zenon_intro zenon_H262. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H262); [ zenon_intro zenon_Hf | zenon_intro zenon_H263 ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H25d | zenon_intro zenon_H264 ]. % 1.20/1.42 apply (zenon_L349_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H258 | zenon_intro zenon_H25a ]. % 1.20/1.42 exact (zenon_H252 zenon_H258). % 1.20/1.42 exact (zenon_H25a zenon_H253). % 1.20/1.42 (* end of lemma zenon_L350_ *) % 1.20/1.42 assert (zenon_L351_ : ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28)))))) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H1fe zenon_H31 zenon_H3. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H20c | zenon_intro zenon_H266 ]. % 1.20/1.42 apply (zenon_L350_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H32 | zenon_intro zenon_H4 ]. % 1.20/1.42 exact (zenon_H31 zenon_H32). % 1.20/1.42 exact (zenon_H3 zenon_H4). % 1.20/1.42 (* end of lemma zenon_L351_ *) % 1.20/1.42 assert (zenon_L352_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp19)) -> (~(hskp28)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H202 zenon_H3 zenon_H31 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H2d. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ee ]. % 1.20/1.42 apply (zenon_L351_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.20/1.42 apply (zenon_L26_); trivial. % 1.20/1.42 exact (zenon_H2d zenon_H2e). % 1.20/1.42 (* end of lemma zenon_L352_ *) % 1.20/1.42 assert (zenon_L353_ : ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp25)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H267 zenon_H38 zenon_H37 zenon_H1b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H13c. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H35 | zenon_intro zenon_H268 ]. % 1.20/1.42 apply (zenon_L18_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H251 | zenon_intro zenon_H13d ]. % 1.20/1.42 apply (zenon_L347_); trivial. % 1.20/1.42 exact (zenon_H13c zenon_H13d). % 1.20/1.42 (* end of lemma zenon_L353_ *) % 1.20/1.42 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H13c zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H5. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.42 apply (zenon_L93_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.42 apply (zenon_L353_); trivial. % 1.20/1.42 exact (zenon_H5 zenon_H6). % 1.20/1.42 (* end of lemma zenon_L354_ *) % 1.20/1.42 assert (zenon_L355_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13c zenon_H13e zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.42 apply (zenon_L352_); trivial. % 1.20/1.42 apply (zenon_L354_); trivial. % 1.20/1.42 (* end of lemma zenon_L355_ *) % 1.20/1.42 assert (zenon_L356_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.42 apply (zenon_L355_); trivial. % 1.20/1.42 apply (zenon_L125_); trivial. % 1.20/1.42 (* end of lemma zenon_L356_ *) % 1.20/1.42 assert (zenon_L357_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H95 zenon_H189 zenon_H88 zenon_H103 zenon_H182 zenon_H185 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.42 apply (zenon_L356_); trivial. % 1.20/1.42 apply (zenon_L130_); trivial. % 1.20/1.42 (* end of lemma zenon_L357_ *) % 1.20/1.42 assert (zenon_L358_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H168 zenon_H98 zenon_H189 zenon_H103 zenon_H182 zenon_H185 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H202 zenon_H142 zenon_H19b zenon_H152 zenon_H53 zenon_H2d zenon_H62 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.42 apply (zenon_L348_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.42 apply (zenon_L37_); trivial. % 1.20/1.42 apply (zenon_L357_); trivial. % 1.20/1.42 (* end of lemma zenon_L358_ *) % 1.20/1.42 assert (zenon_L359_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H98 zenon_H152 zenon_H14e zenon_Hff zenon_H13e zenon_H140 zenon_H142 zenon_H153 zenon_H53 zenon_H2d zenon_H2b zenon_H62 zenon_H57 zenon_H56 zenon_H55 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.42 apply (zenon_L37_); trivial. % 1.20/1.42 apply (zenon_L98_); trivial. % 1.20/1.42 (* end of lemma zenon_L359_ *) % 1.20/1.42 assert (zenon_L360_ : ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a451))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp25)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H267 zenon_Ha3 zenon_Ha2 zenon_H6e zenon_Hab zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H13c. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H35 | zenon_intro zenon_H268 ]. % 1.20/1.42 apply (zenon_L53_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H251 | zenon_intro zenon_H13d ]. % 1.20/1.42 apply (zenon_L347_); trivial. % 1.20/1.42 exact (zenon_H13c zenon_H13d). % 1.20/1.42 (* end of lemma zenon_L360_ *) % 1.20/1.42 assert (zenon_L361_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_Hbc zenon_Hbe zenon_Hc0. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc1 ]. % 1.20/1.42 apply (zenon_L360_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbf ]. % 1.20/1.42 exact (zenon_Hbc zenon_Hbd). % 1.20/1.42 exact (zenon_Hbe zenon_Hbf). % 1.20/1.42 apply (zenon_L244_); trivial. % 1.20/1.42 (* end of lemma zenon_L361_ *) % 1.20/1.42 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H46 zenon_Hc7 zenon_H2d zenon_H2b zenon_H2f zenon_Hc5 zenon_H7d. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H35 | zenon_intro zenon_Hc8 ]. % 1.20/1.42 apply (zenon_L19_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H7e ]. % 1.20/1.42 exact (zenon_Hc5 zenon_Hc6). % 1.20/1.42 exact (zenon_H7d zenon_H7e). % 1.20/1.42 (* end of lemma zenon_L362_ *) % 1.20/1.42 assert (zenon_L363_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp26)) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (ndr1_0) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H4d zenon_Hc7 zenon_H7d zenon_Hc5 zenon_H2b zenon_H2d zenon_H2f zenon_H10 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.42 apply (zenon_L67_); trivial. % 1.20/1.42 apply (zenon_L362_); trivial. % 1.20/1.42 (* end of lemma zenon_L363_ *) % 1.20/1.42 assert (zenon_L364_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c1_1 (a442)) -> False). % 1.20/1.42 do 0 intro. intros zenon_Hcc zenon_H10 zenon_H252 zenon_H253 zenon_H25d. % 1.20/1.42 generalize (zenon_Hcc (a442)). zenon_intro zenon_H269. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H269); [ zenon_intro zenon_Hf | zenon_intro zenon_H26a ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H258 | zenon_intro zenon_H26b ]. % 1.20/1.42 exact (zenon_H252 zenon_H258). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H25a | zenon_intro zenon_H261 ]. % 1.20/1.42 exact (zenon_H25a zenon_H253). % 1.20/1.42 exact (zenon_H261 zenon_H25d). % 1.20/1.42 (* end of lemma zenon_L364_ *) % 1.20/1.42 assert (zenon_L365_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H11e zenon_H10 zenon_Hcc zenon_H252 zenon_H253 zenon_H254. % 1.20/1.42 generalize (zenon_H11e (a442)). zenon_intro zenon_H26c. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_Hf | zenon_intro zenon_H26d ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H25d | zenon_intro zenon_H26e ]. % 1.20/1.42 apply (zenon_L364_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H258 | zenon_intro zenon_H259 ]. % 1.20/1.42 exact (zenon_H252 zenon_H258). % 1.20/1.42 exact (zenon_H259 zenon_H254). % 1.20/1.42 (* end of lemma zenon_L365_ *) % 1.20/1.42 assert (zenon_L366_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (~(hskp8)) -> False). % 1.20/1.42 do 0 intro. intros zenon_Hdc zenon_H156 zenon_H155 zenon_H25 zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H11e zenon_H7d. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.42 apply (zenon_L99_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.42 apply (zenon_L365_); trivial. % 1.20/1.42 exact (zenon_H7d zenon_H7e). % 1.20/1.42 (* end of lemma zenon_L366_ *) % 1.20/1.42 assert (zenon_L367_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H128 zenon_H7d zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H25 zenon_H155 zenon_H156 zenon_Hdc zenon_H9d zenon_H126. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.20/1.42 apply (zenon_L366_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.20/1.42 exact (zenon_H9d zenon_H9e). % 1.20/1.42 exact (zenon_H126 zenon_H127). % 1.20/1.42 (* end of lemma zenon_L367_ *) % 1.20/1.42 assert (zenon_L368_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H128 zenon_H254 zenon_H253 zenon_H252 zenon_Hcc zenon_H10 zenon_H9d zenon_H126. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.20/1.42 apply (zenon_L365_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.20/1.42 exact (zenon_H9d zenon_H9e). % 1.20/1.42 exact (zenon_H126 zenon_H127). % 1.20/1.42 (* end of lemma zenon_L368_ *) % 1.20/1.42 assert (zenon_L369_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_Heb zenon_H161 zenon_H254 zenon_H253 zenon_H252 zenon_H156 zenon_H155 zenon_H9d zenon_H126 zenon_H128 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H101 zenon_Hff zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H10 zenon_H2f zenon_H2d zenon_H2b zenon_H7d zenon_Hc7 zenon_H4d. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.42 apply (zenon_L363_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.42 apply (zenon_L59_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.42 apply (zenon_L367_); trivial. % 1.20/1.42 apply (zenon_L368_); trivial. % 1.20/1.42 (* end of lemma zenon_L369_ *) % 1.20/1.42 assert (zenon_L370_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H169 zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_Hc0 zenon_Heb zenon_H161 zenon_H156 zenon_H155 zenon_H126 zenon_H128 zenon_Hdc zenon_H101 zenon_Hff zenon_H2f zenon_H2d zenon_H2b zenon_H7d zenon_Hc7 zenon_H4d zenon_H80 zenon_Hba zenon_H103 zenon_He7 zenon_H99 zenon_H142 zenon_H163 zenon_H88 zenon_Hf1 zenon_H16a. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.42 apply (zenon_L361_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.42 apply (zenon_L369_); trivial. % 1.20/1.42 apply (zenon_L104_); trivial. % 1.20/1.42 apply (zenon_L77_); trivial. % 1.20/1.42 (* end of lemma zenon_L370_ *) % 1.20/1.42 assert (zenon_L371_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp25)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H26f zenon_H13c zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H116 zenon_H115 zenon_H114 zenon_H11f zenon_H10 zenon_H2b. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_Hde | zenon_intro zenon_H270 ]. % 1.20/1.42 apply (zenon_L93_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2c ]. % 1.20/1.42 apply (zenon_L241_); trivial. % 1.20/1.42 exact (zenon_H2b zenon_H2c). % 1.20/1.42 (* end of lemma zenon_L371_ *) % 1.20/1.42 assert (zenon_L372_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp25)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H248 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H57 zenon_H56 zenon_H55 zenon_H26f zenon_H13c zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H2b. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H24b ]. % 1.20/1.42 apply (zenon_L65_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H54 | zenon_intro zenon_H114 ]. % 1.20/1.42 apply (zenon_L26_); trivial. % 1.20/1.42 apply (zenon_L371_); trivial. % 1.20/1.42 (* end of lemma zenon_L372_ *) % 1.20/1.42 assert (zenon_L373_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c3_1 (a489)) -> (c2_1 (a489)) -> (~(c0_1 (a489))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H271 zenon_H146 zenon_H145 zenon_H144 zenon_H116 zenon_H115 zenon_H114 zenon_H11f zenon_H10 zenon_Hb. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H6e | zenon_intro zenon_H272 ]. % 1.20/1.42 apply (zenon_L96_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hc ]. % 1.20/1.42 apply (zenon_L241_); trivial. % 1.20/1.42 exact (zenon_Hb zenon_Hc). % 1.20/1.42 (* end of lemma zenon_L373_ *) % 1.20/1.42 assert (zenon_L374_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(hskp20)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H14d zenon_H248 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H57 zenon_H56 zenon_H55 zenon_H271 zenon_H116 zenon_H115 zenon_H11f zenon_Hb. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H24b ]. % 1.20/1.42 apply (zenon_L65_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H54 | zenon_intro zenon_H114 ]. % 1.20/1.42 apply (zenon_L26_); trivial. % 1.20/1.42 apply (zenon_L373_); trivial. % 1.20/1.42 (* end of lemma zenon_L374_ *) % 1.20/1.42 assert (zenon_L375_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H16e zenon_H152 zenon_Hb zenon_H271 zenon_H55 zenon_H56 zenon_H57 zenon_H26f zenon_H2b zenon_H116 zenon_H115 zenon_H11f zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H248. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.42 apply (zenon_L372_); trivial. % 1.20/1.42 apply (zenon_L374_); trivial. % 1.20/1.42 (* end of lemma zenon_L375_ *) % 1.20/1.42 assert (zenon_L376_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H16a zenon_Hb zenon_H271 zenon_H55 zenon_H56 zenon_H57 zenon_H26f zenon_H2b zenon_H116 zenon_H115 zenon_H11f zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H248 zenon_Hc0 zenon_Hbc zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H152. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.42 apply (zenon_L361_); trivial. % 1.20/1.42 apply (zenon_L375_); trivial. % 1.20/1.42 (* end of lemma zenon_L376_ *) % 1.20/1.42 assert (zenon_L377_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H169 zenon_Hdc zenon_H7d zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_Hc0 zenon_H248 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H11f zenon_H115 zenon_H116 zenon_H2b zenon_H26f zenon_H57 zenon_H56 zenon_H55 zenon_H271 zenon_Hb zenon_H16a. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.42 apply (zenon_L376_); trivial. % 1.20/1.42 apply (zenon_L77_); trivial. % 1.20/1.42 (* end of lemma zenon_L377_ *) % 1.20/1.42 assert (zenon_L378_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H46 zenon_H47 zenon_H3 zenon_H190 zenon_H2d zenon_H2b zenon_H2f zenon_H26 zenon_H1c zenon_H1e. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.20/1.42 apply (zenon_L116_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.20/1.42 apply (zenon_L19_); trivial. % 1.20/1.42 apply (zenon_L20_); trivial. % 1.20/1.42 (* end of lemma zenon_L378_ *) % 1.20/1.42 assert (zenon_L379_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H4c zenon_H4d zenon_H47 zenon_H2b zenon_H2f zenon_H190 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.42 apply (zenon_L352_); trivial. % 1.20/1.42 apply (zenon_L378_); trivial. % 1.20/1.42 (* end of lemma zenon_L379_ *) % 1.20/1.42 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H132 zenon_H189 zenon_H33 zenon_H169 zenon_Hdc zenon_H7d zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H248 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H2b zenon_H26f zenon_H57 zenon_H56 zenon_H55 zenon_H271 zenon_H16a zenon_H202 zenon_H2d zenon_H265 zenon_H190 zenon_H2f zenon_H47 zenon_H4d zenon_H50. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.42 apply (zenon_L377_); trivial. % 1.20/1.42 apply (zenon_L379_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.42 apply (zenon_L377_); trivial. % 1.20/1.42 apply (zenon_L22_); trivial. % 1.20/1.42 (* end of lemma zenon_L380_ *) % 1.20/1.42 assert (zenon_L381_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H11e zenon_H10 zenon_H20c zenon_H252 zenon_H254. % 1.20/1.42 generalize (zenon_H11e (a442)). zenon_intro zenon_H26c. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_Hf | zenon_intro zenon_H26d ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H25d | zenon_intro zenon_H26e ]. % 1.20/1.42 apply (zenon_L349_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H258 | zenon_intro zenon_H259 ]. % 1.20/1.42 exact (zenon_H252 zenon_H258). % 1.20/1.42 exact (zenon_H259 zenon_H254). % 1.20/1.42 (* end of lemma zenon_L381_ *) % 1.20/1.42 assert (zenon_L382_ : ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H265 zenon_H254 zenon_H252 zenon_H10 zenon_H11e zenon_H31 zenon_H3. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H20c | zenon_intro zenon_H266 ]. % 1.20/1.42 apply (zenon_L381_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H32 | zenon_intro zenon_H4 ]. % 1.20/1.42 exact (zenon_H31 zenon_H32). % 1.20/1.42 exact (zenon_H3 zenon_H4). % 1.20/1.42 (* end of lemma zenon_L382_ *) % 1.20/1.42 assert (zenon_L383_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp19)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H128 zenon_H3 zenon_H31 zenon_H10 zenon_H252 zenon_H254 zenon_H265 zenon_H9d zenon_H126. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.20/1.42 apply (zenon_L382_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.20/1.42 exact (zenon_H9d zenon_H9e). % 1.20/1.42 exact (zenon_H126 zenon_H127). % 1.20/1.42 (* end of lemma zenon_L383_ *) % 1.20/1.42 assert (zenon_L384_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp0)) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp25)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H46 zenon_H1ce zenon_Hff zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H14e zenon_H13c zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H5. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.42 apply (zenon_L108_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.42 apply (zenon_L353_); trivial. % 1.20/1.42 exact (zenon_H5 zenon_H6). % 1.20/1.42 (* end of lemma zenon_L384_ *) % 1.20/1.42 assert (zenon_L385_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H152 zenon_H128 zenon_H126 zenon_H9d zenon_H10 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H14e zenon_Hff zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H267 zenon_H253 zenon_H5 zenon_H1ce zenon_H4d. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.42 apply (zenon_L383_); trivial. % 1.20/1.42 apply (zenon_L384_); trivial. % 1.20/1.42 apply (zenon_L97_); trivial. % 1.20/1.42 (* end of lemma zenon_L385_ *) % 1.20/1.42 assert (zenon_L386_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> False). % 1.20/1.42 do 0 intro. intros zenon_Haa zenon_H10 zenon_H20c zenon_H252 zenon_H254 zenon_H253. % 1.20/1.42 generalize (zenon_Haa (a442)). zenon_intro zenon_H273. % 1.20/1.42 apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_Hf | zenon_intro zenon_H274 ]. % 1.20/1.42 exact (zenon_Hf zenon_H10). % 1.20/1.42 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H25d | zenon_intro zenon_H257 ]. % 1.20/1.42 apply (zenon_L349_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.20/1.42 exact (zenon_H25a zenon_H253). % 1.20/1.42 exact (zenon_H259 zenon_H254). % 1.20/1.42 (* end of lemma zenon_L386_ *) % 1.20/1.42 assert (zenon_L387_ : ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_Haa zenon_H31 zenon_H3. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H20c | zenon_intro zenon_H266 ]. % 1.20/1.42 apply (zenon_L386_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H32 | zenon_intro zenon_H4 ]. % 1.20/1.42 exact (zenon_H31 zenon_H32). % 1.20/1.42 exact (zenon_H3 zenon_H4). % 1.20/1.42 (* end of lemma zenon_L387_ *) % 1.20/1.42 assert (zenon_L388_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp19)) -> (~(hskp28)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.20/1.42 do 0 intro. intros zenon_Hba zenon_H3 zenon_H31 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.20/1.42 apply (zenon_L387_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.20/1.42 apply (zenon_L48_); trivial. % 1.20/1.42 exact (zenon_H51 zenon_H52). % 1.20/1.42 (* end of lemma zenon_L388_ *) % 1.20/1.42 assert (zenon_L389_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c0_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H168 zenon_H98 zenon_H103 zenon_H13e zenon_H2d zenon_H202 zenon_Hf1 zenon_H88 zenon_H85 zenon_H62 zenon_Hba zenon_H80 zenon_H142 zenon_H19b zenon_H4d zenon_H1ce zenon_H253 zenon_H267 zenon_H265 zenon_H254 zenon_H252 zenon_H126 zenon_H128 zenon_H152 zenon_H7 zenon_H5 zenon_H14e zenon_Hff zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H189. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.42 apply (zenon_L111_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.42 apply (zenon_L385_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.42 apply (zenon_L388_); trivial. % 1.20/1.42 apply (zenon_L384_); trivial. % 1.20/1.42 apply (zenon_L125_); trivial. % 1.20/1.42 apply (zenon_L196_); trivial. % 1.20/1.42 apply (zenon_L110_); trivial. % 1.20/1.42 apply (zenon_L357_); trivial. % 1.20/1.42 (* end of lemma zenon_L389_ *) % 1.20/1.42 assert (zenon_L390_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H128 zenon_H254 zenon_H252 zenon_H20c zenon_H10 zenon_H9d zenon_H126. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.20/1.42 apply (zenon_L381_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.20/1.42 exact (zenon_H9d zenon_H9e). % 1.20/1.42 exact (zenon_H126 zenon_H127). % 1.20/1.42 (* end of lemma zenon_L390_ *) % 1.20/1.42 assert (zenon_L391_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H175 zenon_H176 zenon_H174 zenon_H128 zenon_H254 zenon_H252 zenon_H10 zenon_H9d zenon_H126. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.42 apply (zenon_L65_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.42 apply (zenon_L166_); trivial. % 1.20/1.42 apply (zenon_L390_); trivial. % 1.20/1.42 (* end of lemma zenon_L391_ *) % 1.20/1.42 assert (zenon_L392_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp25)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp14)) -> False). % 1.20/1.42 do 0 intro. intros zenon_Hed zenon_H1ca zenon_H7d zenon_Hdc zenon_H13c zenon_H252 zenon_H253 zenon_H254 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H267 zenon_H1. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.20/1.42 apply (zenon_L59_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.20/1.42 apply (zenon_L360_); trivial. % 1.20/1.42 exact (zenon_H1 zenon_H2). % 1.20/1.42 (* end of lemma zenon_L392_ *) % 1.20/1.42 assert (zenon_L393_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1 zenon_H1ca zenon_Heb. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.42 apply (zenon_L56_); trivial. % 1.20/1.42 apply (zenon_L392_); trivial. % 1.20/1.42 apply (zenon_L129_); trivial. % 1.20/1.42 (* end of lemma zenon_L393_ *) % 1.20/1.42 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c0_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H132 zenon_H169 zenon_Hec zenon_He9 zenon_H1 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H210 zenon_H252 zenon_H254 zenon_H126 zenon_H128 zenon_Hba zenon_Heb zenon_H1ca zenon_H253 zenon_H267 zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_H152 zenon_H88 zenon_Hf1 zenon_H16a. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.42 apply (zenon_L136_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.42 apply (zenon_L391_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.42 apply (zenon_L84_); trivial. % 1.20/1.42 apply (zenon_L393_); trivial. % 1.20/1.42 apply (zenon_L77_); trivial. % 1.20/1.42 (* end of lemma zenon_L394_ *) % 1.20/1.42 assert (zenon_L395_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H202 zenon_H253 zenon_H254 zenon_H252 zenon_H20c zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H2d. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ee ]. % 1.20/1.42 apply (zenon_L350_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.20/1.42 apply (zenon_L26_); trivial. % 1.20/1.42 exact (zenon_H2d zenon_H2e). % 1.20/1.42 (* end of lemma zenon_L395_ *) % 1.20/1.42 assert (zenon_L396_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(hskp3)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H16e zenon_H210 zenon_H175 zenon_H176 zenon_H174 zenon_H202 zenon_H253 zenon_H254 zenon_H252 zenon_H57 zenon_H56 zenon_H55 zenon_H2d. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.42 apply (zenon_L65_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.42 apply (zenon_L166_); trivial. % 1.20/1.42 apply (zenon_L395_); trivial. % 1.20/1.42 (* end of lemma zenon_L396_ *) % 1.20/1.42 assert (zenon_L397_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H16a zenon_H210 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_H175 zenon_H176 zenon_H174 zenon_Hc0 zenon_Hbc zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H152. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.42 apply (zenon_L361_); trivial. % 1.20/1.42 apply (zenon_L396_); trivial. % 1.20/1.42 (* end of lemma zenon_L397_ *) % 1.20/1.42 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H165 zenon_H169 zenon_Hdc zenon_H7d zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H174 zenon_H176 zenon_H175 zenon_H202 zenon_H2d zenon_H210 zenon_H16a. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.42 apply (zenon_L397_); trivial. % 1.20/1.42 apply (zenon_L77_); trivial. % 1.20/1.42 (* end of lemma zenon_L398_ *) % 1.20/1.42 assert (zenon_L399_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.42 do 0 intro. intros zenon_H16b zenon_H124 zenon_Hff zenon_H130 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H10 zenon_He7 zenon_H57 zenon_H56 zenon_H55 zenon_Hba zenon_H62 zenon_H60 zenon_H2f zenon_H2d zenon_H2b zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_Hf1. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.42 apply (zenon_L185_); trivial. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.42 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.42 apply (zenon_L173_); trivial. % 1.20/1.42 apply (zenon_L36_); trivial. % 1.20/1.42 apply (zenon_L186_); trivial. % 1.20/1.42 (* end of lemma zenon_L399_ *) % 1.20/1.42 assert (zenon_L400_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a456)) -> (c1_1 (a456)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp28)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H10 zenon_H1b zenon_H234 zenon_H235 zenon_H155 zenon_H156 zenon_Hdc zenon_H31. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.42 apply (zenon_L9_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.42 apply (zenon_L99_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.42 apply (zenon_L337_); trivial. % 1.20/1.42 exact (zenon_H7d zenon_H7e). % 1.20/1.42 exact (zenon_H31 zenon_H32). % 1.20/1.42 (* end of lemma zenon_L400_ *) % 1.20/1.42 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp25)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp28)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(hskp8)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp13)) -> False). % 1.20/1.42 do 0 intro. intros zenon_H247 zenon_H1ce zenon_H13c zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H31 zenon_Hdc zenon_H156 zenon_H155 zenon_H7d zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H5. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.20/1.42 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.42 apply (zenon_L93_); trivial. % 1.20/1.42 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.42 apply (zenon_L400_); trivial. % 1.20/1.42 exact (zenon_H5 zenon_H6). % 1.20/1.42 (* end of lemma zenon_L401_ *) % 1.20/1.42 assert (zenon_L402_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a492))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp28)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H10 zenon_Hcd zenon_H64 zenon_Hd0 zenon_Hcf zenon_H155 zenon_H156 zenon_Hdc zenon_H31. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.43 apply (zenon_L9_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.43 apply (zenon_L149_); trivial. % 1.20/1.43 exact (zenon_H31 zenon_H32). % 1.20/1.43 (* end of lemma zenon_L402_ *) % 1.20/1.43 assert (zenon_L403_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp28)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H11e zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H155 zenon_H156 zenon_Hdc zenon_H31. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.43 apply (zenon_L9_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.43 apply (zenon_L366_); trivial. % 1.20/1.43 exact (zenon_H31 zenon_H32). % 1.20/1.43 (* end of lemma zenon_L403_ *) % 1.20/1.43 assert (zenon_L404_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp28)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H130 zenon_H99 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_He7 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H155 zenon_H156 zenon_Hdc zenon_H31. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.43 apply (zenon_L9_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.43 apply (zenon_L101_); trivial. % 1.20/1.43 exact (zenon_H31 zenon_H32). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.20/1.43 apply (zenon_L402_); trivial. % 1.20/1.43 apply (zenon_L403_); trivial. % 1.20/1.43 (* end of lemma zenon_L404_ *) % 1.20/1.43 assert (zenon_L405_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_H14e zenon_Hff zenon_H231 zenon_H33 zenon_H155 zenon_H156 zenon_Hdc zenon_H24c zenon_H130 zenon_H99 zenon_He7 zenon_Heb zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.43 apply (zenon_L356_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L185_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.20/1.43 apply (zenon_L335_); trivial. % 1.20/1.43 apply (zenon_L401_); trivial. % 1.20/1.43 apply (zenon_L354_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.43 apply (zenon_L404_); trivial. % 1.20/1.43 apply (zenon_L354_); trivial. % 1.20/1.43 apply (zenon_L97_); trivial. % 1.20/1.43 (* end of lemma zenon_L405_ *) % 1.20/1.43 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H95 zenon_H16b zenon_H88 zenon_H124 zenon_H85 zenon_Hba zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Heb zenon_He7 zenon_H130 zenon_H24c zenon_Hdc zenon_H156 zenon_H155 zenon_H33 zenon_H231 zenon_Hff zenon_H14e zenon_Hf1 zenon_H189. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L405_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L185_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.43 apply (zenon_L84_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.43 apply (zenon_L243_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.43 apply (zenon_L93_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.43 apply (zenon_L190_); trivial. % 1.20/1.43 exact (zenon_H5 zenon_H6). % 1.20/1.43 apply (zenon_L129_); trivial. % 1.20/1.43 (* end of lemma zenon_L406_ *) % 1.20/1.43 assert (zenon_L407_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H169 zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_Hc0 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H161 zenon_H155 zenon_H156 zenon_He7 zenon_H99 zenon_H142 zenon_H163 zenon_H88 zenon_Hf1 zenon_H16a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.43 apply (zenon_L361_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L185_); trivial. % 1.20/1.43 apply (zenon_L104_); trivial. % 1.20/1.43 apply (zenon_L77_); trivial. % 1.20/1.43 (* end of lemma zenon_L407_ *) % 1.20/1.43 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H153 zenon_H142 zenon_H140 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L185_); trivial. % 1.20/1.43 apply (zenon_L147_); trivial. % 1.20/1.43 (* end of lemma zenon_L408_ *) % 1.20/1.43 assert (zenon_L409_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H16b zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H10 zenon_He7 zenon_H57 zenon_H56 zenon_H55 zenon_Hba zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H140 zenon_H142 zenon_H153 zenon_H88 zenon_Hf1. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L185_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.43 apply (zenon_L173_); trivial. % 1.20/1.43 apply (zenon_L146_); trivial. % 1.20/1.43 apply (zenon_L408_); trivial. % 1.20/1.43 (* end of lemma zenon_L409_ *) % 1.20/1.43 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H84 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.43 apply (zenon_L243_); trivial. % 1.20/1.43 apply (zenon_L191_); trivial. % 1.20/1.43 (* end of lemma zenon_L410_ *) % 1.20/1.43 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H124 zenon_Hff zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L185_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.43 apply (zenon_L84_); trivial. % 1.20/1.43 apply (zenon_L410_); trivial. % 1.20/1.43 (* end of lemma zenon_L411_ *) % 1.20/1.43 assert (zenon_L412_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H95 zenon_H16b zenon_H88 zenon_H85 zenon_H174 zenon_H175 zenon_H176 zenon_H124 zenon_Hba zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Heb zenon_He7 zenon_H130 zenon_H24c zenon_Hdc zenon_H156 zenon_H155 zenon_H33 zenon_H231 zenon_Hff zenon_H14e zenon_Hf1 zenon_H189. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L405_); trivial. % 1.20/1.43 apply (zenon_L411_); trivial. % 1.20/1.43 (* end of lemma zenon_L412_ *) % 1.20/1.43 assert (zenon_L413_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.20/1.43 do 0 intro. intros zenon_Hba zenon_H253 zenon_H254 zenon_H252 zenon_H20c zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.20/1.43 apply (zenon_L386_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.20/1.43 apply (zenon_L48_); trivial. % 1.20/1.43 exact (zenon_H51 zenon_H52). % 1.20/1.43 (* end of lemma zenon_L413_ *) % 1.20/1.43 assert (zenon_L414_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H175 zenon_H176 zenon_H174 zenon_Hba zenon_H253 zenon_H254 zenon_H252 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.43 apply (zenon_L65_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.43 apply (zenon_L166_); trivial. % 1.20/1.43 apply (zenon_L413_); trivial. % 1.20/1.43 (* end of lemma zenon_L414_ *) % 1.20/1.43 assert (zenon_L415_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H202 zenon_H253 zenon_H254 zenon_H252 zenon_H20c zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H2d. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ee ]. % 1.20/1.43 apply (zenon_L350_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.20/1.43 apply (zenon_L85_); trivial. % 1.20/1.43 exact (zenon_H2d zenon_H2e). % 1.20/1.43 (* end of lemma zenon_L415_ *) % 1.20/1.43 assert (zenon_L416_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H20c zenon_H252 zenon_H254 zenon_H253 zenon_H202 zenon_H67 zenon_H66 zenon_H65 zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.20/1.43 apply (zenon_L415_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.20/1.43 apply (zenon_L30_); trivial. % 1.20/1.43 apply (zenon_L184_); trivial. % 1.20/1.43 (* end of lemma zenon_L416_ *) % 1.20/1.43 assert (zenon_L417_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H84 zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H175 zenon_H176 zenon_H174 zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H252 zenon_H254 zenon_H253 zenon_H202 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.43 apply (zenon_L65_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.43 apply (zenon_L166_); trivial. % 1.20/1.43 apply (zenon_L416_); trivial. % 1.20/1.43 (* end of lemma zenon_L417_ *) % 1.20/1.43 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H202 zenon_H2d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H174 zenon_H176 zenon_H175 zenon_Hba zenon_H253 zenon_H254 zenon_H252 zenon_H210. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.43 apply (zenon_L414_); trivial. % 1.20/1.43 apply (zenon_L417_); trivial. % 1.20/1.43 (* end of lemma zenon_L418_ *) % 1.20/1.43 assert (zenon_L419_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H202 zenon_H2d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Hba zenon_H253 zenon_H174 zenon_H176 zenon_H175 zenon_H128 zenon_H126 zenon_H254 zenon_H252 zenon_H210. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L391_); trivial. % 1.20/1.43 apply (zenon_L418_); trivial. % 1.20/1.43 (* end of lemma zenon_L419_ *) % 1.20/1.43 assert (zenon_L420_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H16a zenon_H210 zenon_Hc0 zenon_H169 zenon_H98 zenon_H152 zenon_H19b zenon_H142 zenon_H13e zenon_Hf1 zenon_H88 zenon_H7d zenon_H80 zenon_H1ca zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_He9 zenon_Hec zenon_H9b zenon_H9f zenon_H128 zenon_H126 zenon_H130 zenon_Hff zenon_H124 zenon_H62 zenon_H1ce zenon_H85 zenon_H16b zenon_He7 zenon_H153 zenon_H2d zenon_H202 zenon_H189 zenon_H14e zenon_H231 zenon_H33 zenon_Hdc zenon_H24c zenon_Heb zenon_H4d zenon_H267 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H16c zenon_H168. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L195_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.43 apply (zenon_L409_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L198_); trivial. % 1.20/1.43 apply (zenon_L411_); trivial. % 1.20/1.43 apply (zenon_L412_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.43 apply (zenon_L136_); trivial. % 1.20/1.43 apply (zenon_L419_); trivial. % 1.20/1.43 apply (zenon_L77_); trivial. % 1.20/1.43 apply (zenon_L398_); trivial. % 1.20/1.43 (* end of lemma zenon_L420_ *) % 1.20/1.43 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp25)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H13c zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H5. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.43 apply (zenon_L208_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.43 apply (zenon_L353_); trivial. % 1.20/1.43 exact (zenon_H5 zenon_H6). % 1.20/1.43 (* end of lemma zenon_L421_ *) % 1.20/1.43 assert (zenon_L422_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H152 zenon_H14e zenon_Hff zenon_H7d zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.43 apply (zenon_L352_); trivial. % 1.20/1.43 apply (zenon_L421_); trivial. % 1.20/1.43 apply (zenon_L97_); trivial. % 1.20/1.43 (* end of lemma zenon_L422_ *) % 1.20/1.43 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp11)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H184 zenon_H185 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H182. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.43 apply (zenon_L208_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.43 apply (zenon_L9_); trivial. % 1.20/1.43 exact (zenon_H182 zenon_H183). % 1.20/1.43 (* end of lemma zenon_L423_ *) % 1.20/1.43 assert (zenon_L424_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H165 zenon_H189 zenon_H185 zenon_H182 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H7d zenon_Hff zenon_H14e zenon_H152. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.43 apply (zenon_L422_); trivial. % 1.20/1.43 apply (zenon_L423_); trivial. % 1.20/1.43 (* end of lemma zenon_L424_ *) % 1.20/1.43 assert (zenon_L425_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H26f zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H116 zenon_H115 zenon_H114 zenon_H11f zenon_H10 zenon_H2b. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_Hde | zenon_intro zenon_H270 ]. % 1.20/1.43 apply (zenon_L208_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2c ]. % 1.20/1.43 apply (zenon_L241_); trivial. % 1.20/1.43 exact (zenon_H2b zenon_H2c). % 1.20/1.43 (* end of lemma zenon_L425_ *) % 1.20/1.43 assert (zenon_L426_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(hskp12)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H16e zenon_H248 zenon_H57 zenon_H56 zenon_H55 zenon_H26f zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H116 zenon_H115 zenon_H11f zenon_H2b. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H24b ]. % 1.20/1.43 apply (zenon_L65_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H54 | zenon_intro zenon_H114 ]. % 1.20/1.43 apply (zenon_L26_); trivial. % 1.20/1.43 apply (zenon_L425_); trivial. % 1.20/1.43 (* end of lemma zenon_L426_ *) % 1.20/1.43 assert (zenon_L427_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H16a zenon_H248 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H11f zenon_H115 zenon_H116 zenon_H2b zenon_H26f zenon_H57 zenon_H56 zenon_H55 zenon_Hc0 zenon_Hbc zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H152. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.43 apply (zenon_L361_); trivial. % 1.20/1.43 apply (zenon_L426_); trivial. % 1.20/1.43 (* end of lemma zenon_L427_ *) % 1.20/1.43 assert (zenon_L428_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H132 zenon_H169 zenon_Hdc zenon_H7d zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H55 zenon_H56 zenon_H57 zenon_H26f zenon_H2b zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H248 zenon_H16a. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.43 apply (zenon_L427_); trivial. % 1.20/1.43 apply (zenon_L77_); trivial. % 1.20/1.43 (* end of lemma zenon_L428_ *) % 1.20/1.43 assert (zenon_L429_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H169 zenon_Hdc zenon_H7d zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Hc0 zenon_H174 zenon_H176 zenon_H175 zenon_H202 zenon_H2d zenon_H210 zenon_H16a zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L209_); trivial. % 1.20/1.43 apply (zenon_L398_); trivial. % 1.20/1.43 (* end of lemma zenon_L429_ *) % 1.20/1.43 assert (zenon_L430_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H16b zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H10 zenon_He7 zenon_H57 zenon_H56 zenon_H55 zenon_Hba zenon_H62 zenon_H60 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H80 zenon_H7d zenon_H5 zenon_H1ce zenon_H85 zenon_H88 zenon_Hf1. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L216_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L185_); trivial. % 1.20/1.43 apply (zenon_L217_); trivial. % 1.20/1.43 (* end of lemma zenon_L430_ *) % 1.20/1.43 assert (zenon_L431_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H98 zenon_H124 zenon_H19b zenon_H13e zenon_H130 zenon_H24c zenon_H33 zenon_H231 zenon_H85 zenon_H62 zenon_H1b6 zenon_H16c zenon_H16b zenon_H26f zenon_H248 zenon_H16a zenon_Hf1 zenon_H88 zenon_H163 zenon_He7 zenon_H103 zenon_Hba zenon_H80 zenon_Hc7 zenon_H2f zenon_H101 zenon_Hdc zenon_H128 zenon_H126 zenon_H161 zenon_Heb zenon_Hc0 zenon_H169 zenon_H142 zenon_H153 zenon_He9 zenon_Hec zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H152 zenon_H14e zenon_Hff zenon_H7d zenon_H202 zenon_H2d zenon_H265 zenon_H267 zenon_H1ce zenon_H4d zenon_H185 zenon_H189 zenon_H168 zenon_H7 zenon_H210 zenon_H1d0. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L348_); trivial. % 1.20/1.43 apply (zenon_L424_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L209_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.43 apply (zenon_L211_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L370_); trivial. % 1.20/1.43 apply (zenon_L428_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L111_); trivial. % 1.20/1.43 apply (zenon_L424_); trivial. % 1.20/1.43 apply (zenon_L429_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L348_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.43 apply (zenon_L211_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.43 apply (zenon_L430_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L405_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_L185_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.43 apply (zenon_L84_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.43 apply (zenon_L243_); trivial. % 1.20/1.43 apply (zenon_L213_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L209_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.43 apply (zenon_L211_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L407_); trivial. % 1.20/1.43 apply (zenon_L428_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L209_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.43 apply (zenon_L409_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.43 apply (zenon_L430_); trivial. % 1.20/1.43 apply (zenon_L412_); trivial. % 1.20/1.43 apply (zenon_L429_); trivial. % 1.20/1.43 (* end of lemma zenon_L431_ *) % 1.20/1.43 assert (zenon_L432_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp13)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H14d zenon_H275 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H5. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_Hce | zenon_intro zenon_H276 ]. % 1.20/1.43 apply (zenon_L229_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H6e | zenon_intro zenon_H6 ]. % 1.20/1.43 apply (zenon_L96_); trivial. % 1.20/1.43 exact (zenon_H5 zenon_H6). % 1.20/1.43 (* end of lemma zenon_L432_ *) % 1.20/1.43 assert (zenon_L433_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H152 zenon_H275 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_L355_); trivial. % 1.20/1.43 apply (zenon_L432_); trivial. % 1.20/1.43 (* end of lemma zenon_L433_ *) % 1.20/1.43 assert (zenon_L434_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (~(hskp13)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H275 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H78 zenon_H71 zenon_H70 zenon_H10 zenon_H1b zenon_H5. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_Hce | zenon_intro zenon_H276 ]. % 1.20/1.43 apply (zenon_L229_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H6e | zenon_intro zenon_H6 ]. % 1.20/1.43 apply (zenon_L32_); trivial. % 1.20/1.43 exact (zenon_H5 zenon_H6). % 1.20/1.43 (* end of lemma zenon_L434_ *) % 1.20/1.43 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H111 zenon_H85 zenon_H1a7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.43 apply (zenon_L243_); trivial. % 1.20/1.43 apply (zenon_L252_); trivial. % 1.20/1.43 (* end of lemma zenon_L435_ *) % 1.20/1.43 assert (zenon_L436_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H26 zenon_H1e zenon_H1c zenon_H1b zenon_H10 zenon_H31. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.43 apply (zenon_L9_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.43 apply (zenon_L11_); trivial. % 1.20/1.43 exact (zenon_H31 zenon_H32). % 1.20/1.43 (* end of lemma zenon_L436_ *) % 1.20/1.43 assert (zenon_L437_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp25)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp13)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1ce zenon_H13c zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H31 zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H5. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.43 apply (zenon_L93_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.43 apply (zenon_L436_); trivial. % 1.20/1.43 exact (zenon_H5 zenon_H6). % 1.20/1.43 (* end of lemma zenon_L437_ *) % 1.20/1.43 assert (zenon_L438_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H4d zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H13e zenon_H13c zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H14 zenon_H13 zenon_H12 zenon_H5 zenon_H1ce. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.43 apply (zenon_L437_); trivial. % 1.20/1.43 apply (zenon_L354_); trivial. % 1.20/1.43 (* end of lemma zenon_L438_ *) % 1.20/1.43 assert (zenon_L439_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H4c zenon_H152 zenon_H275 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1ce zenon_H5 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H4d. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_L438_); trivial. % 1.20/1.43 apply (zenon_L432_); trivial. % 1.20/1.43 (* end of lemma zenon_L439_ *) % 1.20/1.43 assert (zenon_L440_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H168 zenon_H98 zenon_H16b zenon_H189 zenon_H50 zenon_H33 zenon_H16a zenon_H271 zenon_H26f zenon_H248 zenon_H124 zenon_Hff zenon_Hc0 zenon_H1a7 zenon_H169 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H2d zenon_H202 zenon_H275 zenon_H152 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L348_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.43 apply (zenon_L232_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L233_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.43 apply (zenon_L433_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.43 apply (zenon_L243_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.43 apply (zenon_L93_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.43 apply (zenon_L434_); trivial. % 1.20/1.43 exact (zenon_H5 zenon_H6). % 1.20/1.43 apply (zenon_L244_); trivial. % 1.20/1.43 apply (zenon_L375_); trivial. % 1.20/1.43 apply (zenon_L435_); trivial. % 1.20/1.43 apply (zenon_L439_); trivial. % 1.20/1.43 (* end of lemma zenon_L440_ *) % 1.20/1.43 assert (zenon_L441_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp25)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp14)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H13c zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H267 zenon_H1. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.20/1.43 apply (zenon_L229_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.20/1.43 apply (zenon_L360_); trivial. % 1.20/1.43 exact (zenon_H1 zenon_H2). % 1.20/1.43 (* end of lemma zenon_L441_ *) % 1.20/1.43 assert (zenon_L442_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp14)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H14d zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.20/1.43 apply (zenon_L229_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.20/1.43 apply (zenon_L96_); trivial. % 1.20/1.43 exact (zenon_H1 zenon_H2). % 1.20/1.43 (* end of lemma zenon_L442_ *) % 1.20/1.43 assert (zenon_L443_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H152 zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_L441_); trivial. % 1.20/1.43 apply (zenon_L442_); trivial. % 1.20/1.43 (* end of lemma zenon_L443_ *) % 1.20/1.43 assert (zenon_L444_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H169 zenon_H85 zenon_H1a7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H124 zenon_Hff zenon_H2d zenon_H202 zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_Hc0 zenon_H248 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H11f zenon_H115 zenon_H116 zenon_H2b zenon_H26f zenon_H57 zenon_H56 zenon_H55 zenon_H271 zenon_Hb zenon_H16a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.43 apply (zenon_L376_); trivial. % 1.20/1.43 apply (zenon_L435_); trivial. % 1.20/1.43 (* end of lemma zenon_L444_ *) % 1.20/1.43 assert (zenon_L445_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1b6 zenon_H190 zenon_H2f zenon_H47 zenon_H1ca zenon_H25b zenon_H2b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_He7 zenon_H152 zenon_H275 zenon_H202 zenon_H2d zenon_H265 zenon_H13e zenon_H267 zenon_H1ce zenon_H4d zenon_H169 zenon_H1a7 zenon_Hc0 zenon_Hff zenon_H124 zenon_H248 zenon_H26f zenon_H271 zenon_H16a zenon_H33 zenon_H50 zenon_H189 zenon_H16b zenon_H98 zenon_H168. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.43 apply (zenon_L440_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L443_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.43 apply (zenon_L232_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.43 apply (zenon_L233_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.43 apply (zenon_L444_); trivial. % 1.20/1.43 apply (zenon_L379_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.43 apply (zenon_L444_); trivial. % 1.20/1.43 apply (zenon_L22_); trivial. % 1.20/1.43 (* end of lemma zenon_L445_ *) % 1.20/1.43 assert (zenon_L446_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13c zenon_H13e zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.43 apply (zenon_L297_); trivial. % 1.20/1.43 apply (zenon_L354_); trivial. % 1.20/1.43 (* end of lemma zenon_L446_ *) % 1.20/1.43 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H184 zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_L446_); trivial. % 1.20/1.43 apply (zenon_L125_); trivial. % 1.20/1.43 (* end of lemma zenon_L447_ *) % 1.20/1.43 assert (zenon_L448_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H95 zenon_H189 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.43 apply (zenon_L356_); trivial. % 1.20/1.43 apply (zenon_L447_); trivial. % 1.20/1.43 (* end of lemma zenon_L448_ *) % 1.20/1.43 assert (zenon_L449_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H168 zenon_H98 zenon_H189 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H202 zenon_H142 zenon_H19b zenon_H152 zenon_H53 zenon_H2d zenon_H62 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.43 apply (zenon_L348_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.43 apply (zenon_L37_); trivial. % 1.20/1.43 apply (zenon_L448_); trivial. % 1.20/1.43 (* end of lemma zenon_L449_ *) % 1.20/1.43 assert (zenon_L450_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.20/1.43 do 0 intro. intros zenon_Haa zenon_H10 zenon_Hcc zenon_H252 zenon_H253 zenon_H254. % 1.20/1.43 generalize (zenon_Haa (a442)). zenon_intro zenon_H273. % 1.20/1.43 apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_Hf | zenon_intro zenon_H274 ]. % 1.20/1.43 exact (zenon_Hf zenon_H10). % 1.20/1.43 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H25d | zenon_intro zenon_H257 ]. % 1.20/1.43 apply (zenon_L364_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.20/1.43 exact (zenon_H25a zenon_H253). % 1.20/1.43 exact (zenon_H259 zenon_H254). % 1.20/1.43 (* end of lemma zenon_L450_ *) % 1.20/1.43 assert (zenon_L451_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H1c8 zenon_H254 zenon_H253 zenon_H252 zenon_Hcc zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.20/1.43 apply (zenon_L450_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.20/1.43 apply (zenon_L274_); trivial. % 1.20/1.43 exact (zenon_H9d zenon_H9e). % 1.20/1.43 (* end of lemma zenon_L451_ *) % 1.20/1.43 assert (zenon_L452_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.20/1.43 do 0 intro. intros zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_Hcc zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.20/1.43 apply (zenon_L450_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.20/1.43 apply (zenon_L48_); trivial. % 1.20/1.43 exact (zenon_H51 zenon_H52). % 1.20/1.43 (* end of lemma zenon_L452_ *) % 1.20/1.43 assert (zenon_L453_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp25)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H46 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hba zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H13c. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.20/1.43 apply (zenon_L268_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.20/1.43 apply (zenon_L452_); trivial. % 1.20/1.43 apply (zenon_L353_); trivial. % 1.20/1.43 (* end of lemma zenon_L453_ *) % 1.20/1.43 assert (zenon_L454_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H216 zenon_H217 zenon_H218 zenon_H267 zenon_H1ad zenon_H4d. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.43 apply (zenon_L388_); trivial. % 1.20/1.43 apply (zenon_L453_); trivial. % 1.20/1.43 apply (zenon_L125_); trivial. % 1.20/1.43 (* end of lemma zenon_L454_ *) % 1.20/1.43 assert (zenon_L455_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.20/1.43 do 0 intro. intros zenon_H161 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H218 zenon_H217 zenon_H216 zenon_He7 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H99. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.43 apply (zenon_L59_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.43 apply (zenon_L268_); trivial. % 1.20/1.43 apply (zenon_L100_); trivial. % 1.20/1.43 (* end of lemma zenon_L455_ *) % 1.20/1.43 assert (zenon_L456_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_Heb zenon_H163 zenon_Hdc zenon_He7 zenon_H99 zenon_H161 zenon_Hc7 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H4d zenon_H1ad zenon_H267 zenon_H218 zenon_H217 zenon_H216 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hba zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.43 apply (zenon_L454_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.43 apply (zenon_L56_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H12d | zenon_intro zenon_H164 ]. % 1.20/1.43 apply (zenon_L455_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hce | zenon_intro zenon_H143 ]. % 1.20/1.43 apply (zenon_L59_); trivial. % 1.20/1.43 exact (zenon_H142 zenon_H143). % 1.20/1.43 (* end of lemma zenon_L456_ *) % 1.20/1.43 assert (zenon_L457_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.20/1.43 do 0 intro. intros zenon_H189 zenon_H13e zenon_H103 zenon_H182 zenon_H185 zenon_H16a zenon_Hf1 zenon_H163 zenon_He7 zenon_H99 zenon_H4d zenon_H1ad zenon_H265 zenon_Hba zenon_H142 zenon_H19b zenon_H53 zenon_H2d zenon_H2b zenon_H80 zenon_H7d zenon_Hc7 zenon_H227 zenon_H8c zenon_H8b zenon_H8a zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1c8 zenon_H161 zenon_H202 zenon_H57 zenon_H56 zenon_H55 zenon_H210 zenon_Heb zenon_H88 zenon_Hc0 zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H152 zenon_H169. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.43 apply (zenon_L361_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.43 apply (zenon_L25_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.43 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.43 apply (zenon_L56_); trivial. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.43 apply (zenon_L65_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.43 apply (zenon_L59_); trivial. % 1.20/1.43 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.44 apply (zenon_L268_); trivial. % 1.20/1.44 apply (zenon_L451_); trivial. % 1.20/1.44 apply (zenon_L246_); trivial. % 1.20/1.44 apply (zenon_L395_); trivial. % 1.20/1.44 apply (zenon_L456_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 apply (zenon_L130_); trivial. % 1.20/1.44 (* end of lemma zenon_L457_ *) % 1.20/1.44 assert (zenon_L458_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp19)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp3)) -> (~(hskp12)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H47 zenon_H3 zenon_H1c zenon_H1e zenon_H26 zenon_H190 zenon_H2d zenon_H2b zenon_H37 zenon_H38 zenon_H2f zenon_H10 zenon_H217 zenon_H192 zenon_H216 zenon_H218. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.20/1.44 apply (zenon_L116_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.20/1.44 apply (zenon_L19_); trivial. % 1.20/1.44 apply (zenon_L274_); trivial. % 1.20/1.44 (* end of lemma zenon_L458_ *) % 1.20/1.44 assert (zenon_L459_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H46 zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H2f zenon_H2d zenon_H2b zenon_H217 zenon_H216 zenon_H218 zenon_H47. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.20/1.44 apply (zenon_L458_); trivial. % 1.20/1.44 apply (zenon_L276_); trivial. % 1.20/1.44 (* end of lemma zenon_L459_ *) % 1.20/1.44 assert (zenon_L460_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H4c zenon_H4d zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H2f zenon_H2d zenon_H2b zenon_H47 zenon_H190 zenon_H3 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L309_); trivial. % 1.20/1.44 apply (zenon_L459_); trivial. % 1.20/1.44 (* end of lemma zenon_L460_ *) % 1.20/1.44 assert (zenon_L461_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(hskp3)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H46 zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H47 zenon_H218 zenon_H216 zenon_H217 zenon_H2b zenon_H2f zenon_H14 zenon_H13 zenon_H12 zenon_H8a zenon_H8b zenon_H8c zenon_H227 zenon_H202 zenon_H253 zenon_H254 zenon_H252 zenon_H57 zenon_H56 zenon_H55 zenon_H2d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.44 apply (zenon_L65_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.20/1.44 apply (zenon_L9_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.20/1.44 apply (zenon_L19_); trivial. % 1.20/1.44 apply (zenon_L274_); trivial. % 1.20/1.44 apply (zenon_L246_); trivial. % 1.20/1.44 apply (zenon_L395_); trivial. % 1.20/1.44 (* end of lemma zenon_L461_ *) % 1.20/1.44 assert (zenon_L462_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H16e zenon_H4d zenon_H210 zenon_H252 zenon_H254 zenon_H253 zenon_H55 zenon_H56 zenon_H57 zenon_H202 zenon_H47 zenon_H2b zenon_H2d zenon_H2f zenon_H8a zenon_H8b zenon_H8c zenon_H227 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L297_); trivial. % 1.20/1.44 apply (zenon_L461_); trivial. % 1.20/1.44 (* end of lemma zenon_L462_ *) % 1.20/1.44 assert (zenon_L463_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H16a zenon_H4d zenon_H210 zenon_H55 zenon_H56 zenon_H57 zenon_H202 zenon_H47 zenon_H2b zenon_H2d zenon_H2f zenon_H8a zenon_H8b zenon_H8c zenon_H227 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Hc0 zenon_Hbc zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H152. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.44 apply (zenon_L361_); trivial. % 1.20/1.44 apply (zenon_L462_); trivial. % 1.20/1.44 (* end of lemma zenon_L463_ *) % 1.20/1.44 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H184 zenon_H169 zenon_Hdc zenon_H7d zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H227 zenon_H8c zenon_H8b zenon_H8a zenon_H2f zenon_H2d zenon_H2b zenon_H47 zenon_H202 zenon_H57 zenon_H56 zenon_H55 zenon_H210 zenon_H4d zenon_H16a. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_L463_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 (* end of lemma zenon_L464_ *) % 1.20/1.44 assert (zenon_L465_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H132 zenon_H189 zenon_H202 zenon_H210 zenon_H169 zenon_Hdc zenon_H7d zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H248 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H2b zenon_H26f zenon_H57 zenon_H56 zenon_H55 zenon_H271 zenon_H16a zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H47 zenon_H2d zenon_H2f zenon_H19b zenon_H142 zenon_H227 zenon_H4d zenon_H50. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.44 apply (zenon_L377_); trivial. % 1.20/1.44 apply (zenon_L460_); trivial. % 1.20/1.44 apply (zenon_L464_); trivial. % 1.20/1.44 (* end of lemma zenon_L465_ *) % 1.20/1.44 assert (zenon_L466_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H189 zenon_H152 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14e zenon_Hff zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H4d zenon_H1 zenon_H5 zenon_H7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_L4_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L297_); trivial. % 1.20/1.44 apply (zenon_L384_); trivial. % 1.20/1.44 apply (zenon_L97_); trivial. % 1.20/1.44 (* end of lemma zenon_L466_ *) % 1.20/1.44 assert (zenon_L467_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H189 zenon_H169 zenon_Hc0 zenon_H33 zenon_H8c zenon_H8b zenon_H8a zenon_H2f zenon_H2d zenon_H2b zenon_H47 zenon_H202 zenon_H210 zenon_H16a zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1bc zenon_H1bb zenon_H1ba zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7 zenon_H152 zenon_H80 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H267 zenon_H1ad zenon_H4d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc7 zenon_H161 zenon_Hdc zenon_H163 zenon_Heb zenon_H88 zenon_Hf1. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.44 apply (zenon_L308_); trivial. % 1.20/1.44 apply (zenon_L456_); trivial. % 1.20/1.44 apply (zenon_L464_); trivial. % 1.20/1.44 (* end of lemma zenon_L467_ *) % 1.20/1.44 assert (zenon_L468_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H202 zenon_H2d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_H174 zenon_H176 zenon_H175 zenon_Hba zenon_H253 zenon_H254 zenon_H252 zenon_H210 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H116 zenon_H115 zenon_H11f zenon_H19b zenon_H142 zenon_H7d zenon_H227. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.44 apply (zenon_L277_); trivial. % 1.20/1.44 apply (zenon_L418_); trivial. % 1.20/1.44 (* end of lemma zenon_L468_ *) % 1.20/1.44 assert (zenon_L469_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H169 zenon_Heb zenon_Hec zenon_He9 zenon_Hdc zenon_Hc7 zenon_Hc0 zenon_H1ad zenon_H101 zenon_H103 zenon_H16a zenon_H130 zenon_H210 zenon_H189 zenon_H152 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14e zenon_Hff zenon_H7d zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H4d zenon_H7 zenon_H16b zenon_H1c8 zenon_H19b zenon_H142 zenon_H227 zenon_H9f zenon_H9b zenon_He7 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H62 zenon_H80 zenon_H85 zenon_H88 zenon_Hf1 zenon_H202 zenon_H2d zenon_H265 zenon_H13e zenon_H98 zenon_H168. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L466_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L293_); trivial. % 1.20/1.44 apply (zenon_L448_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L273_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.44 apply (zenon_L136_); trivial. % 1.20/1.44 apply (zenon_L468_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 apply (zenon_L398_); trivial. % 1.20/1.44 (* end of lemma zenon_L469_ *) % 1.20/1.44 assert (zenon_L470_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H252 zenon_H253 zenon_H254 zenon_H13c zenon_H267 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L297_); trivial. % 1.20/1.44 apply (zenon_L421_); trivial. % 1.20/1.44 (* end of lemma zenon_L470_ *) % 1.20/1.44 assert (zenon_L471_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (ndr1_0) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H168 zenon_H189 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H7d zenon_Hff zenon_H14e zenon_H152 zenon_H10 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L209_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_L422_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.44 apply (zenon_L470_); trivial. % 1.20/1.44 apply (zenon_L97_); trivial. % 1.20/1.44 (* end of lemma zenon_L471_ *) % 1.20/1.44 assert (zenon_L472_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H169 zenon_Hdc zenon_Hc0 zenon_H210 zenon_H16a zenon_Hec zenon_He9 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H152 zenon_H14e zenon_Hff zenon_H7d zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H267 zenon_H1ce zenon_H4d zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H189 zenon_H168. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_L471_); trivial. % 1.20/1.44 apply (zenon_L429_); trivial. % 1.20/1.44 (* end of lemma zenon_L472_ *) % 1.20/1.44 assert (zenon_L473_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H2f zenon_H47 zenon_H1b6 zenon_H98 zenon_H16b zenon_H26f zenon_H248 zenon_H169 zenon_Hc0 zenon_H210 zenon_H1c8 zenon_H227 zenon_H19b zenon_H142 zenon_Hba zenon_H1ad zenon_He7 zenon_H163 zenon_Hf1 zenon_H16a zenon_H185 zenon_H103 zenon_H13e zenon_H53 zenon_H80 zenon_Hc7 zenon_H62 zenon_Hdc zenon_H1a3 zenon_H161 zenon_H85 zenon_Heb zenon_H88 zenon_H25b zenon_Hec zenon_He9 zenon_H152 zenon_H14e zenon_Hff zenon_H7d zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H267 zenon_H1ce zenon_H4d zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H189 zenon_H168 zenon_H1d0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_L471_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L348_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L287_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L457_); trivial. % 1.20/1.44 apply (zenon_L428_); trivial. % 1.20/1.44 apply (zenon_L472_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_L471_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L209_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L287_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L467_); trivial. % 1.20/1.44 apply (zenon_L428_); trivial. % 1.20/1.44 apply (zenon_L472_); trivial. % 1.20/1.44 (* end of lemma zenon_L473_ *) % 1.20/1.44 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H184 zenon_H152 zenon_H275 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.44 apply (zenon_L446_); trivial. % 1.20/1.44 apply (zenon_L432_); trivial. % 1.20/1.44 (* end of lemma zenon_L474_ *) % 1.20/1.44 assert (zenon_L475_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H165 zenon_H98 zenon_H189 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H275 zenon_H152 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L232_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_L433_); trivial. % 1.20/1.44 apply (zenon_L474_); trivial. % 1.20/1.44 (* end of lemma zenon_L475_ *) % 1.20/1.44 assert (zenon_L476_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H168 zenon_H98 zenon_H189 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H2d zenon_H202 zenon_H275 zenon_H152 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L348_); trivial. % 1.20/1.44 apply (zenon_L475_); trivial. % 1.20/1.44 (* end of lemma zenon_L476_ *) % 1.20/1.44 assert (zenon_L477_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H85 zenon_H1ce zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H5 zenon_H275 zenon_H174 zenon_H175 zenon_H176 zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.44 apply (zenon_L243_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.44 apply (zenon_L135_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.44 apply (zenon_L434_); trivial. % 1.20/1.44 exact (zenon_H5 zenon_H6). % 1.20/1.44 (* end of lemma zenon_L477_ *) % 1.20/1.44 assert (zenon_L478_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H16b zenon_H169 zenon_H85 zenon_H1a7 zenon_H124 zenon_Hff zenon_Hc0 zenon_H174 zenon_H176 zenon_H175 zenon_H202 zenon_H2d zenon_H210 zenon_H16a zenon_He7 zenon_H1ca zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H152. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L443_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L233_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_L397_); trivial. % 1.20/1.44 apply (zenon_L435_); trivial. % 1.20/1.44 (* end of lemma zenon_L478_ *) % 1.20/1.44 assert (zenon_L479_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H267 zenon_H152 zenon_Hec zenon_He9 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ca zenon_He7 zenon_H16a zenon_H210 zenon_H252 zenon_H254 zenon_H253 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_Hc0 zenon_H275 zenon_H1ce zenon_H85 zenon_H1a7 zenon_H169 zenon_H16b zenon_H168. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L259_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L233_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.44 apply (zenon_L477_); trivial. % 1.20/1.44 apply (zenon_L396_); trivial. % 1.20/1.44 apply (zenon_L435_); trivial. % 1.20/1.44 apply (zenon_L478_); trivial. % 1.20/1.44 (* end of lemma zenon_L479_ *) % 1.20/1.44 assert (zenon_L480_ : ((~(hskp7))\/((ndr1_0)/\((c3_1 (a443))/\((~(c1_1 (a443)))/\(~(c2_1 (a443))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H277 zenon_H1ad zenon_H227 zenon_H1c8 zenon_H215 zenon_H1eb zenon_H1ed zenon_H1dd zenon_H9f zenon_H24c zenon_H231 zenon_H130 zenon_H124 zenon_H1b6 zenon_H16c zenon_H16b zenon_H33 zenon_H248 zenon_H26f zenon_H271 zenon_H190 zenon_H47 zenon_H50 zenon_H16a zenon_Hf1 zenon_H163 zenon_He7 zenon_Hba zenon_Hc7 zenon_H101 zenon_Hdc zenon_H128 zenon_H161 zenon_Heb zenon_Hc0 zenon_H169 zenon_H153 zenon_Hff zenon_H14e zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H88 zenon_H85 zenon_H80 zenon_H2f zenon_H62 zenon_H2d zenon_H53 zenon_H152 zenon_H19b zenon_H202 zenon_H265 zenon_H13e zenon_H267 zenon_H1ce zenon_H4d zenon_H185 zenon_H103 zenon_H189 zenon_H98 zenon_H168 zenon_H7 zenon_H1ca zenon_H210 zenon_He9 zenon_Hec zenon_H1d0 zenon_H1f2 zenon_H1a3 zenon_H275 zenon_H1a7 zenon_H1b2 zenon_H1b4 zenon_H24d. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_L358_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L348_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.44 apply (zenon_L359_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L37_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L370_); trivial. % 1.20/1.44 apply (zenon_L380_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_L389_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.44 apply (zenon_L136_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.44 apply (zenon_L391_); trivial. % 1.20/1.44 apply (zenon_L75_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 apply (zenon_L394_); trivial. % 1.20/1.44 apply (zenon_L398_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L348_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.44 apply (zenon_L359_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L399_); trivial. % 1.20/1.44 apply (zenon_L406_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L348_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.44 apply (zenon_L359_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L399_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L407_); trivial. % 1.20/1.44 apply (zenon_L380_); trivial. % 1.20/1.44 apply (zenon_L420_); trivial. % 1.20/1.44 apply (zenon_L431_); trivial. % 1.20/1.44 apply (zenon_L320_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.44 apply (zenon_L445_); trivial. % 1.20/1.44 apply (zenon_L333_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_L449_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L290_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L287_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L457_); trivial. % 1.20/1.44 apply (zenon_L465_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L466_); trivial. % 1.20/1.44 apply (zenon_L168_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L290_); trivial. % 1.20/1.44 apply (zenon_L398_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_L449_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L348_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L37_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L467_); trivial. % 1.20/1.44 apply (zenon_L465_); trivial. % 1.20/1.44 apply (zenon_L469_); trivial. % 1.20/1.44 apply (zenon_L473_); trivial. % 1.20/1.44 apply (zenon_L320_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.44 apply (zenon_L476_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.44 apply (zenon_L443_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_L232_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.44 apply (zenon_L233_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_L376_); trivial. % 1.20/1.44 apply (zenon_L343_); trivial. % 1.20/1.44 apply (zenon_L379_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_L463_); trivial. % 1.20/1.44 apply (zenon_L435_); trivial. % 1.20/1.44 apply (zenon_L479_); trivial. % 1.20/1.44 (* end of lemma zenon_L480_ *) % 1.20/1.44 assert (zenon_L481_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp21)) -> (~(hskp22)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hc0 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H35 zenon_Hbc zenon_Hbe. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc1 ]. % 1.20/1.44 apply (zenon_L53_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbf ]. % 1.20/1.44 exact (zenon_Hbc zenon_Hbd). % 1.20/1.44 exact (zenon_Hbe zenon_Hbf). % 1.20/1.44 (* end of lemma zenon_L481_ *) % 1.20/1.44 assert (zenon_L482_ : (forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H27b zenon_H10 zenon_H27c zenon_H27d zenon_H27e. % 1.20/1.44 generalize (zenon_H27b (a441)). zenon_intro zenon_H27f. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H27f); [ zenon_intro zenon_Hf | zenon_intro zenon_H280 ]. % 1.20/1.44 exact (zenon_Hf zenon_H10). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H282 | zenon_intro zenon_H281 ]. % 1.20/1.44 exact (zenon_H27c zenon_H282). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H284 | zenon_intro zenon_H283 ]. % 1.20/1.44 exact (zenon_H27d zenon_H284). % 1.20/1.44 exact (zenon_H283 zenon_H27e). % 1.20/1.44 (* end of lemma zenon_L482_ *) % 1.20/1.44 assert (zenon_L483_ : ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp22)) -> (~(hskp21)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H285 zenon_Hbe zenon_Hbc zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc0 zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_H9b. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H35 | zenon_intro zenon_H286 ]. % 1.20/1.44 apply (zenon_L481_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H27b | zenon_intro zenon_H9c ]. % 1.20/1.44 apply (zenon_L482_); trivial. % 1.20/1.44 exact (zenon_H9b zenon_H9c). % 1.20/1.44 (* end of lemma zenon_L483_ *) % 1.20/1.44 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp10)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H46 zenon_H285 zenon_H2d zenon_H2b zenon_H2f zenon_H27e zenon_H27d zenon_H27c zenon_H9b. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H35 | zenon_intro zenon_H286 ]. % 1.20/1.44 apply (zenon_L19_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H27b | zenon_intro zenon_H9c ]. % 1.20/1.44 apply (zenon_L482_); trivial. % 1.20/1.44 exact (zenon_H9b zenon_H9c). % 1.20/1.44 (* end of lemma zenon_L484_ *) % 1.20/1.44 assert (zenon_L485_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H16e zenon_H4d zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_Hff zenon_H101. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L67_); trivial. % 1.20/1.44 apply (zenon_L484_); trivial. % 1.20/1.44 (* end of lemma zenon_L485_ *) % 1.20/1.44 assert (zenon_L486_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1b7 zenon_H169 zenon_Hdc zenon_H7d zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hc0 zenon_H101 zenon_Hff zenon_H2f zenon_H2d zenon_H2b zenon_H4d zenon_H16a. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.44 apply (zenon_L483_); trivial. % 1.20/1.44 apply (zenon_L485_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 (* end of lemma zenon_L486_ *) % 1.20/1.44 assert (zenon_L487_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp8)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H80 zenon_Hcd zenon_Hd0 zenon_Hcf zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H35 zenon_H7d. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.44 apply (zenon_L72_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.44 apply (zenon_L53_); trivial. % 1.20/1.44 exact (zenon_H7d zenon_H7e). % 1.20/1.44 (* end of lemma zenon_L487_ *) % 1.20/1.44 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp10)) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hed zenon_H285 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H80 zenon_H27e zenon_H27d zenon_H27c zenon_H9b. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H35 | zenon_intro zenon_H286 ]. % 1.20/1.44 apply (zenon_L487_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H27b | zenon_intro zenon_H9c ]. % 1.20/1.44 apply (zenon_L482_); trivial. % 1.20/1.44 exact (zenon_H9b zenon_H9c). % 1.20/1.44 (* end of lemma zenon_L488_ *) % 1.20/1.44 assert (zenon_L489_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H84 zenon_Heb zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.44 apply (zenon_L56_); trivial. % 1.20/1.44 apply (zenon_L488_); trivial. % 1.20/1.44 (* end of lemma zenon_L489_ *) % 1.20/1.44 assert (zenon_L490_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H80 zenon_Heb. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.44 apply (zenon_L74_); trivial. % 1.20/1.44 apply (zenon_L489_); trivial. % 1.20/1.44 (* end of lemma zenon_L490_ *) % 1.20/1.44 assert (zenon_L491_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H169 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc0 zenon_H9f zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H88 zenon_Hf1 zenon_H16a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.44 apply (zenon_L483_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.44 apply (zenon_L45_); trivial. % 1.20/1.44 apply (zenon_L490_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 (* end of lemma zenon_L491_ *) % 1.20/1.44 assert (zenon_L492_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1b7 zenon_H169 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hc0 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H88 zenon_Hf1 zenon_H16a. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.44 apply (zenon_L483_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.44 apply (zenon_L185_); trivial. % 1.20/1.44 apply (zenon_L490_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 (* end of lemma zenon_L492_ *) % 1.20/1.44 assert (zenon_L493_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H16b zenon_H1c8 zenon_H128 zenon_H126 zenon_He7 zenon_Hba zenon_H1ce zenon_Hf1 zenon_H168 zenon_H98 zenon_H93 zenon_H9 zenon_H53 zenon_H2d zenon_H62 zenon_H2f zenon_H7d zenon_H80 zenon_H85 zenon_H88 zenon_He9 zenon_Hec zenon_H13e zenon_H142 zenon_H19b zenon_H152 zenon_H50 zenon_H103 zenon_H190 zenon_Hd zenon_H7 zenon_H14e zenon_Hff zenon_H185 zenon_H189 zenon_H153 zenon_H169 zenon_Heb zenon_H161 zenon_H1a7 zenon_H1a3 zenon_Hdc zenon_Hc7 zenon_Hc0 zenon_H1ad zenon_H101 zenon_H4d zenon_H16a zenon_H16c zenon_H1b6 zenon_H1d0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.44 apply (zenon_L222_); trivial. % 1.20/1.44 (* end of lemma zenon_L493_ *) % 1.20/1.44 assert (zenon_L494_ : ((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H24e zenon_H215 zenon_H1eb zenon_H1d0 zenon_He9 zenon_Hec zenon_H168 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H93 zenon_Hba zenon_H1c8 zenon_He7 zenon_H62 zenon_H1a3 zenon_H85 zenon_H7 zenon_Hd zenon_H9 zenon_H33 zenon_H2d zenon_H2f zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H53 zenon_H163 zenon_H9f zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_H1ca zenon_H130 zenon_H16a zenon_H210 zenon_H13e zenon_H202 zenon_Hc0 zenon_H152 zenon_H1a7 zenon_H169 zenon_H1b6 zenon_H1f2. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.20/1.44 apply (zenon_L266_); trivial. % 1.20/1.44 (* end of lemma zenon_L494_ *) % 1.20/1.44 assert (zenon_L495_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp26)) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H4d zenon_Hc7 zenon_H7d zenon_Hc5 zenon_H2b zenon_H2d zenon_H2f zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L297_); trivial. % 1.20/1.44 apply (zenon_L362_); trivial. % 1.20/1.44 (* end of lemma zenon_L495_ *) % 1.20/1.44 assert (zenon_L496_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H19d zenon_H10 zenon_H35 zenon_H37 zenon_H38 zenon_H4a. % 1.20/1.44 generalize (zenon_H19d (a437)). zenon_intro zenon_H287. % 1.20/1.44 apply (zenon_imply_s _ _ zenon_H287); [ zenon_intro zenon_Hf | zenon_intro zenon_H288 ]. % 1.20/1.44 exact (zenon_Hf zenon_H10). % 1.20/1.44 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H36 | zenon_intro zenon_H1ab ]. % 1.20/1.44 apply (zenon_L17_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ac | zenon_intro zenon_H3d ]. % 1.20/1.44 exact (zenon_H1ac zenon_H4a). % 1.20/1.44 exact (zenon_H3d zenon_H38). % 1.20/1.44 (* end of lemma zenon_L496_ *) % 1.20/1.44 assert (zenon_L497_ : ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H285 zenon_H4a zenon_H38 zenon_H37 zenon_H19d zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_H9b. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H35 | zenon_intro zenon_H286 ]. % 1.20/1.44 apply (zenon_L496_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H27b | zenon_intro zenon_H9c ]. % 1.20/1.44 apply (zenon_L482_); trivial. % 1.20/1.44 exact (zenon_H9b zenon_H9c). % 1.20/1.44 (* end of lemma zenon_L497_ *) % 1.20/1.44 assert (zenon_L498_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp16)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H1a3 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hcc zenon_H9b zenon_H10 zenon_H27c zenon_H27d zenon_H27e zenon_H37 zenon_H38 zenon_H4a zenon_H285 zenon_H60. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.20/1.44 apply (zenon_L58_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.20/1.44 apply (zenon_L497_); trivial. % 1.20/1.44 exact (zenon_H60 zenon_H61). % 1.20/1.44 (* end of lemma zenon_L498_ *) % 1.20/1.44 assert (zenon_L499_ : ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H285 zenon_H38 zenon_H37 zenon_H1b zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_H9b. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H35 | zenon_intro zenon_H286 ]. % 1.20/1.44 apply (zenon_L18_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H27b | zenon_intro zenon_H9c ]. % 1.20/1.44 apply (zenon_L482_); trivial. % 1.20/1.44 exact (zenon_H9b zenon_H9c). % 1.20/1.44 (* end of lemma zenon_L499_ *) % 1.20/1.44 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(hskp16)) -> (~(c3_1 (a492))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp10)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H46 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H60 zenon_Hcd zenon_Hcf zenon_Hd0 zenon_H1a3 zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_H9b. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.20/1.44 apply (zenon_L268_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.20/1.44 apply (zenon_L498_); trivial. % 1.20/1.44 apply (zenon_L499_); trivial. % 1.20/1.44 (* end of lemma zenon_L500_ *) % 1.20/1.44 assert (zenon_L501_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hed zenon_H4d zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H60 zenon_H1a3 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L297_); trivial. % 1.20/1.44 apply (zenon_L500_); trivial. % 1.20/1.44 (* end of lemma zenon_L501_ *) % 1.20/1.44 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H184 zenon_Heb zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H60 zenon_H1a3 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2f zenon_H2d zenon_H2b zenon_H7d zenon_Hc7 zenon_H4d. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.44 apply (zenon_L495_); trivial. % 1.20/1.44 apply (zenon_L501_); trivial. % 1.20/1.44 (* end of lemma zenon_L502_ *) % 1.20/1.44 assert (zenon_L503_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H98 zenon_H152 zenon_H19b zenon_H142 zenon_H80 zenon_H13e zenon_He9 zenon_Hec zenon_H7 zenon_H5 zenon_H1 zenon_H4d zenon_Hc7 zenon_H7d zenon_H2b zenon_H2d zenon_H2f zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1a3 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1ad zenon_Heb zenon_H189. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_L4_); trivial. % 1.20/1.44 apply (zenon_L502_); trivial. % 1.20/1.44 apply (zenon_L194_); trivial. % 1.20/1.44 (* end of lemma zenon_L503_ *) % 1.20/1.44 assert (zenon_L504_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp24)) -> (~(hskp26)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H4d zenon_H103 zenon_H51 zenon_Hc5 zenon_H7d zenon_Hc7 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L297_); trivial. % 1.20/1.44 apply (zenon_L69_); trivial. % 1.20/1.44 (* end of lemma zenon_L504_ *) % 1.20/1.44 assert (zenon_L505_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Heb zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H60 zenon_H1a3 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_Hc7 zenon_H7d zenon_H51 zenon_H103 zenon_H4d. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.44 apply (zenon_L504_); trivial. % 1.20/1.44 apply (zenon_L501_); trivial. % 1.20/1.44 (* end of lemma zenon_L505_ *) % 1.20/1.44 assert (zenon_L506_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.20/1.44 do 0 intro. intros zenon_H84 zenon_H185 zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.44 apply (zenon_L118_); trivial. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.44 apply (zenon_L9_); trivial. % 1.20/1.44 exact (zenon_H182 zenon_H183). % 1.20/1.44 (* end of lemma zenon_L506_ *) % 1.20/1.44 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H184 zenon_H88 zenon_H185 zenon_H182 zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1a3 zenon_H60 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1ad zenon_Heb. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.44 apply (zenon_L505_); trivial. % 1.20/1.44 apply (zenon_L506_); trivial. % 1.20/1.44 (* end of lemma zenon_L507_ *) % 1.20/1.44 assert (zenon_L508_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H95 zenon_H189 zenon_H88 zenon_H152 zenon_H80 zenon_H13e zenon_H103 zenon_H7d zenon_H182 zenon_H185 zenon_H1 zenon_H5 zenon_H7. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_L4_); trivial. % 1.20/1.44 apply (zenon_L130_); trivial. % 1.20/1.44 (* end of lemma zenon_L508_ *) % 1.20/1.44 assert (zenon_L509_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H98 zenon_H152 zenon_H13e zenon_H7 zenon_H5 zenon_H1 zenon_Heb zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H1a3 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H80 zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H88 zenon_H189. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.44 apply (zenon_L4_); trivial. % 1.20/1.44 apply (zenon_L507_); trivial. % 1.20/1.44 apply (zenon_L508_); trivial. % 1.20/1.44 (* end of lemma zenon_L509_ *) % 1.20/1.44 assert (zenon_L510_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Hed zenon_H4d zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H60 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.44 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.44 apply (zenon_L67_); trivial. % 1.20/1.44 apply (zenon_L500_); trivial. % 1.20/1.44 (* end of lemma zenon_L510_ *) % 1.20/1.44 assert (zenon_L511_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_Heb zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H60 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_H101 zenon_Hff zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H10 zenon_Hc7 zenon_H7d zenon_H51 zenon_H103 zenon_H4d. % 1.20/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.44 apply (zenon_L70_); trivial. % 1.20/1.44 apply (zenon_L510_); trivial. % 1.20/1.44 (* end of lemma zenon_L511_ *) % 1.20/1.44 assert (zenon_L512_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.44 do 0 intro. intros zenon_H169 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc0 zenon_Heb zenon_H1ad zenon_H60 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H80 zenon_Hdc zenon_H88 zenon_H16a. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.44 apply (zenon_L483_); trivial. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.44 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.44 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.44 apply (zenon_L511_); trivial. % 1.20/1.44 apply (zenon_L489_); trivial. % 1.20/1.44 apply (zenon_L77_); trivial. % 1.20/1.44 (* end of lemma zenon_L512_ *) % 1.20/1.44 assert (zenon_L513_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H16b zenon_H174 zenon_H175 zenon_H176 zenon_H227 zenon_H142 zenon_H19b zenon_H1c8 zenon_H27c zenon_H27d zenon_H27e zenon_H285 zenon_H16a zenon_H4d zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H9f zenon_H9b zenon_Hc0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H80 zenon_H7d zenon_Hc7 zenon_He7 zenon_Hdc zenon_H1 zenon_He9 zenon_Hec zenon_Heb zenon_H88 zenon_Hf1 zenon_H169. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L273_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L136_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L277_); trivial. % 1.20/1.45 apply (zenon_L490_); trivial. % 1.20/1.45 apply (zenon_L77_); trivial. % 1.20/1.45 (* end of lemma zenon_L513_ *) % 1.20/1.45 assert (zenon_L514_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp16)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H46 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H27c zenon_H27d zenon_H27e zenon_H285 zenon_H60. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.20/1.45 apply (zenon_L229_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.20/1.45 apply (zenon_L497_); trivial. % 1.20/1.45 exact (zenon_H60 zenon_H61). % 1.20/1.45 (* end of lemma zenon_L514_ *) % 1.20/1.45 assert (zenon_L515_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H184 zenon_H4d zenon_H1a3 zenon_H60 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L297_); trivial. % 1.20/1.45 apply (zenon_L514_); trivial. % 1.20/1.45 (* end of lemma zenon_L515_ *) % 1.20/1.45 assert (zenon_L516_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H189 zenon_H4d zenon_H1a3 zenon_H60 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1 zenon_H5 zenon_H7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_L4_); trivial. % 1.20/1.45 apply (zenon_L515_); trivial. % 1.20/1.45 (* end of lemma zenon_L516_ *) % 1.20/1.45 assert (zenon_L517_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H16e zenon_H4d zenon_H1a3 zenon_H60 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_Hff zenon_H101. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L67_); trivial. % 1.20/1.45 apply (zenon_L514_); trivial. % 1.20/1.45 (* end of lemma zenon_L517_ *) % 1.20/1.45 assert (zenon_L518_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H16a zenon_H4d zenon_H1a3 zenon_H60 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_Hff zenon_H101 zenon_Hc0 zenon_Hbc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L483_); trivial. % 1.20/1.45 apply (zenon_L517_); trivial. % 1.20/1.45 (* end of lemma zenon_L518_ *) % 1.20/1.45 assert (zenon_L519_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H169 zenon_H161 zenon_H218 zenon_H217 zenon_H216 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc0 zenon_H101 zenon_Hff zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H60 zenon_H1a3 zenon_H4d zenon_H16a. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_L518_); trivial. % 1.20/1.45 apply (zenon_L343_); trivial. % 1.20/1.45 (* end of lemma zenon_L519_ *) % 1.20/1.45 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1d1 zenon_H168 zenon_H98 zenon_H16b zenon_H169 zenon_H152 zenon_Hc0 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_H13e zenon_H9 zenon_H93 zenon_H24c zenon_H248 zenon_H216 zenon_H217 zenon_H218 zenon_H245 zenon_H161 zenon_H231 zenon_Heb zenon_H16a zenon_He7 zenon_H62 zenon_H1a3 zenon_H85 zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_He9 zenon_Hec. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L259_); trivial. % 1.20/1.45 apply (zenon_L344_); trivial. % 1.20/1.45 (* end of lemma zenon_L520_ *) % 1.20/1.45 assert (zenon_L521_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (~(hskp15)) -> (~(hskp9)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H153 zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H1b zenon_H140 zenon_H142. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hde | zenon_intro zenon_H154 ]. % 1.20/1.45 apply (zenon_L91_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H141 | zenon_intro zenon_H143 ]. % 1.20/1.45 exact (zenon_H140 zenon_H141). % 1.20/1.45 exact (zenon_H142 zenon_H143). % 1.20/1.45 (* end of lemma zenon_L521_ *) % 1.20/1.45 assert (zenon_L522_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp13)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1ce zenon_H13c zenon_H13e zenon_H142 zenon_H140 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_H153 zenon_H5. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.45 apply (zenon_L93_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.45 apply (zenon_L521_); trivial. % 1.20/1.45 exact (zenon_H5 zenon_H6). % 1.20/1.45 (* end of lemma zenon_L522_ *) % 1.20/1.45 assert (zenon_L523_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_H7d zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H153 zenon_H142 zenon_H140 zenon_H5 zenon_H1ce. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.45 apply (zenon_L522_); trivial. % 1.20/1.45 apply (zenon_L129_); trivial. % 1.20/1.45 (* end of lemma zenon_L523_ *) % 1.20/1.45 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H153 zenon_H142 zenon_H140 zenon_H5 zenon_H1ce zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L185_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L84_); trivial. % 1.20/1.45 apply (zenon_L523_); trivial. % 1.20/1.45 (* end of lemma zenon_L524_ *) % 1.20/1.45 assert (zenon_L525_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H95 zenon_H16b zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_He7 zenon_H57 zenon_H56 zenon_H55 zenon_Hba zenon_H1ce zenon_H5 zenon_H140 zenon_H142 zenon_H153 zenon_H13e zenon_H7d zenon_H80 zenon_H152 zenon_H88 zenon_Hf1. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L185_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L173_); trivial. % 1.20/1.45 apply (zenon_L523_); trivial. % 1.20/1.45 apply (zenon_L524_); trivial. % 1.20/1.45 (* end of lemma zenon_L525_ *) % 1.20/1.45 assert (zenon_L526_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp19)) -> (~(hskp28)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H202 zenon_H3 zenon_H31 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H2d. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ee ]. % 1.20/1.45 apply (zenon_L351_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.20/1.45 apply (zenon_L85_); trivial. % 1.20/1.45 exact (zenon_H2d zenon_H2e). % 1.20/1.45 (* end of lemma zenon_L526_ *) % 1.20/1.45 assert (zenon_L527_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H253 zenon_H202 zenon_H67 zenon_H66 zenon_H65 zenon_H265 zenon_H254 zenon_H252 zenon_H10 zenon_H31 zenon_H3. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.20/1.45 apply (zenon_L526_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.20/1.45 apply (zenon_L30_); trivial. % 1.20/1.45 apply (zenon_L382_); trivial. % 1.20/1.45 (* end of lemma zenon_L527_ *) % 1.20/1.45 assert (zenon_L528_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H84 zenon_H4d zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2f zenon_H202 zenon_H2d zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H130. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L527_); trivial. % 1.20/1.45 apply (zenon_L484_); trivial. % 1.20/1.45 (* end of lemma zenon_L528_ *) % 1.20/1.45 assert (zenon_L529_ : (~(hskp27)) -> (hskp27) -> False). % 1.20/1.45 do 0 intro. intros zenon_H289 zenon_H28a. % 1.20/1.45 exact (zenon_H289 zenon_H28a). % 1.20/1.45 (* end of lemma zenon_L529_ *) % 1.20/1.45 assert (zenon_L530_ : ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp27)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H28b zenon_H78 zenon_H71 zenon_H70 zenon_H6e zenon_H10 zenon_Hc5 zenon_H289. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H1b | zenon_intro zenon_H28c ]. % 1.20/1.45 apply (zenon_L32_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H28a ]. % 1.20/1.45 exact (zenon_Hc5 zenon_Hc6). % 1.20/1.45 exact (zenon_H289 zenon_H28a). % 1.20/1.45 (* end of lemma zenon_L530_ *) % 1.20/1.45 assert (zenon_L531_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(hskp27)) -> (~(hskp26)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp8)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H7f zenon_H80 zenon_H67 zenon_H66 zenon_H65 zenon_H289 zenon_Hc5 zenon_H28b zenon_H7d. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.45 apply (zenon_L30_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.45 apply (zenon_L530_); trivial. % 1.20/1.45 exact (zenon_H7d zenon_H7e). % 1.20/1.45 (* end of lemma zenon_L531_ *) % 1.20/1.45 assert (zenon_L532_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22))))) -> (ndr1_0) -> (~(c0_1 (a509))) -> (~(c2_1 (a509))) -> (~(c3_1 (a509))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H28d zenon_H10 zenon_H28e zenon_H28f zenon_H290. % 1.20/1.45 generalize (zenon_H28d (a509)). zenon_intro zenon_H291. % 1.20/1.45 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_Hf | zenon_intro zenon_H292 ]. % 1.20/1.45 exact (zenon_Hf zenon_H10). % 1.20/1.45 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H294 | zenon_intro zenon_H293 ]. % 1.20/1.45 exact (zenon_H28e zenon_H294). % 1.20/1.45 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H296 | zenon_intro zenon_H295 ]. % 1.20/1.45 exact (zenon_H28f zenon_H296). % 1.20/1.45 exact (zenon_H290 zenon_H295). % 1.20/1.45 (* end of lemma zenon_L532_ *) % 1.20/1.45 assert (zenon_L533_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(c3_1 (a509))) -> (~(c2_1 (a509))) -> (~(c0_1 (a509))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp10)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H297 zenon_H290 zenon_H28f zenon_H28e zenon_H10 zenon_H5e zenon_H9b. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H28d | zenon_intro zenon_H298 ]. % 1.20/1.45 apply (zenon_L532_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H5f | zenon_intro zenon_H9c ]. % 1.20/1.45 exact (zenon_H5e zenon_H5f). % 1.20/1.45 exact (zenon_H9b zenon_H9c). % 1.20/1.45 (* end of lemma zenon_L533_ *) % 1.20/1.45 assert (zenon_L534_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(c3_1 (a509))) -> (~(c2_1 (a509))) -> (~(c0_1 (a509))) -> (~(hskp8)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp28)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H7f zenon_H299 zenon_H290 zenon_H28f zenon_H28e zenon_H7d zenon_H65 zenon_H66 zenon_H67 zenon_H80 zenon_H31. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H28d | zenon_intro zenon_H29a ]. % 1.20/1.45 apply (zenon_L532_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H32 ]. % 1.20/1.45 apply (zenon_L190_); trivial. % 1.20/1.45 exact (zenon_H31 zenon_H32). % 1.20/1.45 (* end of lemma zenon_L534_ *) % 1.20/1.45 assert (zenon_L535_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(hskp28)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a509))) -> (~(c2_1 (a509))) -> (~(c3_1 (a509))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H85 zenon_H299 zenon_H31 zenon_H65 zenon_H66 zenon_H67 zenon_H7d zenon_H80 zenon_H10 zenon_H28e zenon_H28f zenon_H290 zenon_H9b zenon_H297. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.45 apply (zenon_L533_); trivial. % 1.20/1.45 apply (zenon_L534_); trivial. % 1.20/1.45 (* end of lemma zenon_L535_ *) % 1.20/1.45 assert (zenon_L536_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp26)) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H29b zenon_H4d zenon_Hc7 zenon_Hc5 zenon_H2b zenon_H2d zenon_H2f zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H67 zenon_H66 zenon_H65 zenon_H299 zenon_H85. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L535_); trivial. % 1.20/1.45 apply (zenon_L362_); trivial. % 1.20/1.45 (* end of lemma zenon_L536_ *) % 1.20/1.45 assert (zenon_L537_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hdc zenon_H156 zenon_H155 zenon_H25 zenon_Hd0 zenon_Hcf zenon_Hce zenon_Hcd zenon_H10 zenon_H7d. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.20/1.45 apply (zenon_L99_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.20/1.45 apply (zenon_L58_); trivial. % 1.20/1.45 exact (zenon_H7d zenon_H7e). % 1.20/1.45 (* end of lemma zenon_L537_ *) % 1.20/1.45 assert (zenon_L538_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a492))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp28)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H10 zenon_Hcd zenon_Hce zenon_Hcf zenon_Hd0 zenon_H155 zenon_H156 zenon_Hdc zenon_H31. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.20/1.45 apply (zenon_L9_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.20/1.45 apply (zenon_L537_); trivial. % 1.20/1.45 exact (zenon_H31 zenon_H32). % 1.20/1.45 (* end of lemma zenon_L538_ *) % 1.20/1.45 assert (zenon_L539_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp8)) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp16)) -> (~(c3_1 (a492))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (ndr1_0) -> (c1_1 (a447)) -> (c2_1 (a447)) -> (c3_1 (a447)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1a7 zenon_H7d zenon_H25 zenon_H155 zenon_H156 zenon_Hdc zenon_H60 zenon_Hcd zenon_Hcf zenon_Hd0 zenon_H1a3 zenon_H10 zenon_H78 zenon_H70 zenon_H71. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.20/1.45 apply (zenon_L537_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.20/1.45 apply (zenon_L278_); trivial. % 1.20/1.45 apply (zenon_L230_); trivial. % 1.20/1.45 (* end of lemma zenon_L539_ *) % 1.20/1.45 assert (zenon_L540_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hed zenon_H4d zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H155 zenon_H156 zenon_H7d zenon_Hdc zenon_H14 zenon_H13 zenon_H12 zenon_H1a7 zenon_H1a3 zenon_H161 zenon_H85. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.45 apply (zenon_L29_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.45 apply (zenon_L538_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.45 apply (zenon_L539_); trivial. % 1.20/1.45 apply (zenon_L278_); trivial. % 1.20/1.45 apply (zenon_L484_); trivial. % 1.20/1.45 (* end of lemma zenon_L540_ *) % 1.20/1.45 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H84 zenon_Heb zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_H33 zenon_H155 zenon_H156 zenon_Hdc zenon_H14 zenon_H13 zenon_H12 zenon_H1a7 zenon_H1a3 zenon_H161 zenon_H85 zenon_H80 zenon_H7d zenon_H28b zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H299 zenon_H9b zenon_H297 zenon_H2f zenon_H2d zenon_H2b zenon_Hc7 zenon_H4d zenon_H29e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.45 apply (zenon_L29_); trivial. % 1.20/1.45 apply (zenon_L531_); trivial. % 1.20/1.45 apply (zenon_L536_); trivial. % 1.20/1.45 apply (zenon_L540_); trivial. % 1.20/1.45 (* end of lemma zenon_L541_ *) % 1.20/1.45 assert (zenon_L542_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2f zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L84_); trivial. % 1.20/1.45 apply (zenon_L528_); trivial. % 1.20/1.45 (* end of lemma zenon_L542_ *) % 1.20/1.45 assert (zenon_L543_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.45 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_Heb zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H155 zenon_H156 zenon_Hdc zenon_H14 zenon_H13 zenon_H12 zenon_H1a7 zenon_H1a3 zenon_H161 zenon_H85 zenon_H80 zenon_H7d zenon_H28b zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H299 zenon_H9b zenon_H297 zenon_H2f zenon_H2d zenon_H2b zenon_Hc7 zenon_H4d zenon_H29e zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L84_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.45 apply (zenon_L87_); trivial. % 1.20/1.45 apply (zenon_L531_); trivial. % 1.20/1.45 apply (zenon_L536_); trivial. % 1.20/1.45 apply (zenon_L540_); trivial. % 1.20/1.45 (* end of lemma zenon_L543_ *) % 1.20/1.45 assert (zenon_L544_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H16a zenon_H152 zenon_Hb zenon_H271 zenon_H55 zenon_H56 zenon_H57 zenon_H26f zenon_H2b zenon_H116 zenon_H115 zenon_H11f zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H248 zenon_Hc0 zenon_Hbc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L483_); trivial. % 1.20/1.45 apply (zenon_L375_); trivial. % 1.20/1.45 (* end of lemma zenon_L544_ *) % 1.20/1.45 assert (zenon_L545_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H169 zenon_H85 zenon_H1a7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H124 zenon_Hff zenon_H2d zenon_H202 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc0 zenon_H248 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H11f zenon_H115 zenon_H116 zenon_H2b zenon_H26f zenon_H57 zenon_H56 zenon_H55 zenon_H271 zenon_Hb zenon_H152 zenon_H16a. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_L544_); trivial. % 1.20/1.45 apply (zenon_L435_); trivial. % 1.20/1.45 (* end of lemma zenon_L545_ *) % 1.20/1.45 assert (zenon_L546_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H50 zenon_H4d zenon_H47 zenon_H2f zenon_H190 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H16a zenon_H152 zenon_H271 zenon_H55 zenon_H56 zenon_H57 zenon_H26f zenon_H2b zenon_H116 zenon_H115 zenon_H11f zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H248 zenon_Hc0 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_H85 zenon_H169. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.45 apply (zenon_L545_); trivial. % 1.20/1.45 apply (zenon_L379_); trivial. % 1.20/1.45 (* end of lemma zenon_L546_ *) % 1.20/1.45 assert (zenon_L547_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H152 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H182 zenon_H185. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.20/1.45 apply (zenon_L128_); trivial. % 1.20/1.45 apply (zenon_L244_); trivial. % 1.20/1.45 (* end of lemma zenon_L547_ *) % 1.20/1.45 assert (zenon_L548_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp3)) -> (~(hskp12)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H47 zenon_H14 zenon_H13 zenon_H12 zenon_H2d zenon_H2b zenon_H37 zenon_H38 zenon_H2f zenon_H10 zenon_H8a zenon_H1af zenon_H8b zenon_H8c. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.20/1.45 apply (zenon_L9_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.20/1.45 apply (zenon_L19_); trivial. % 1.20/1.45 apply (zenon_L246_); trivial. % 1.20/1.45 (* end of lemma zenon_L548_ *) % 1.20/1.45 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(hskp3)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H46 zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H8c zenon_H8b zenon_H8a zenon_H2f zenon_H2b zenon_H12 zenon_H13 zenon_H14 zenon_H47 zenon_H202 zenon_H253 zenon_H254 zenon_H252 zenon_H57 zenon_H56 zenon_H55 zenon_H2d. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.45 apply (zenon_L65_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.45 apply (zenon_L548_); trivial. % 1.20/1.45 apply (zenon_L395_); trivial. % 1.20/1.45 (* end of lemma zenon_L549_ *) % 1.20/1.45 assert (zenon_L550_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H16e zenon_H4d zenon_H210 zenon_H252 zenon_H254 zenon_H253 zenon_H55 zenon_H56 zenon_H57 zenon_H202 zenon_H8a zenon_H8b zenon_H8c zenon_H47 zenon_H12 zenon_H13 zenon_H14 zenon_H2f zenon_H2d zenon_H2b zenon_H26 zenon_H1e zenon_H1c zenon_H33. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L16_); trivial. % 1.20/1.45 apply (zenon_L549_); trivial. % 1.20/1.45 (* end of lemma zenon_L550_ *) % 1.20/1.45 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp3)) -> (~(hskp12)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H111 zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2d zenon_H2b zenon_H1c zenon_H1e zenon_H26 zenon_H2f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.45 apply (zenon_L229_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.45 apply (zenon_L14_); trivial. % 1.20/1.45 apply (zenon_L76_); trivial. % 1.20/1.45 (* end of lemma zenon_L551_ *) % 1.20/1.45 assert (zenon_L552_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H46 zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H8c zenon_H8b zenon_H8a zenon_H2f zenon_H2b zenon_H12 zenon_H13 zenon_H14 zenon_H47 zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H252 zenon_H254 zenon_H253 zenon_H202 zenon_H67 zenon_H66 zenon_H65 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.45 apply (zenon_L65_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.45 apply (zenon_L548_); trivial. % 1.20/1.45 apply (zenon_L416_); trivial. % 1.20/1.45 (* end of lemma zenon_L552_ *) % 1.20/1.45 assert (zenon_L553_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H267 zenon_H152 zenon_Hec zenon_He9 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ca zenon_He7 zenon_H16a zenon_Hf1 zenon_H88 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Hba zenon_H253 zenon_H128 zenon_H126 zenon_H254 zenon_H252 zenon_H210 zenon_H202 zenon_H2d zenon_Hff zenon_H124 zenon_Hc0 zenon_H275 zenon_H1ce zenon_H85 zenon_H1a7 zenon_H169 zenon_H16b zenon_H168. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L259_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L233_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L477_); trivial. % 1.20/1.45 apply (zenon_L419_); trivial. % 1.20/1.45 apply (zenon_L435_); trivial. % 1.20/1.45 apply (zenon_L478_); trivial. % 1.20/1.45 (* end of lemma zenon_L553_ *) % 1.20/1.45 assert (zenon_L554_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (~(hskp13)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H7f zenon_H1ce zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H275 zenon_H5. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.45 apply (zenon_L208_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.45 apply (zenon_L434_); trivial. % 1.20/1.45 exact (zenon_H5 zenon_H6). % 1.20/1.45 (* end of lemma zenon_L554_ *) % 1.20/1.45 assert (zenon_L555_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H168 zenon_H16b zenon_H85 zenon_H1ce zenon_H5 zenon_H275 zenon_H124 zenon_Hff zenon_H2d zenon_H202 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H10 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L209_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L233_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.45 apply (zenon_L243_); trivial. % 1.20/1.45 apply (zenon_L554_); trivial. % 1.20/1.45 (* end of lemma zenon_L555_ *) % 1.20/1.45 assert (zenon_L556_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1ef zenon_H1d0 zenon_H210 zenon_H168 zenon_H16b zenon_H85 zenon_H1ce zenon_H275 zenon_H124 zenon_Hff zenon_H2d zenon_H202 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_He9 zenon_Hec zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ca zenon_H16a zenon_H248 zenon_H26f zenon_Hc0 zenon_H1a7 zenon_H169 zenon_H1b6. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L555_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L443_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L233_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_L427_); trivial. % 1.20/1.45 apply (zenon_L435_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L555_); trivial. % 1.20/1.45 apply (zenon_L478_); trivial. % 1.20/1.45 (* end of lemma zenon_L556_ *) % 1.20/1.45 assert (zenon_L557_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H84 zenon_Heb zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H60 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H130 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2f zenon_H2b zenon_H7d zenon_Hc7 zenon_H4d. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L352_); trivial. % 1.20/1.45 apply (zenon_L362_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L527_); trivial. % 1.20/1.45 apply (zenon_L500_); trivial. % 1.20/1.45 (* end of lemma zenon_L557_ *) % 1.20/1.45 assert (zenon_L558_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H168 zenon_H98 zenon_H1ce zenon_H5 zenon_H13e zenon_H189 zenon_H33 zenon_H9f zenon_H9b zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_Hba zenon_H265 zenon_H216 zenon_H217 zenon_H218 zenon_H267 zenon_H1ad zenon_H4d zenon_Hc7 zenon_H2f zenon_H2d zenon_H202 zenon_H130 zenon_H1a3 zenon_H27c zenon_H27d zenon_H27e zenon_H285 zenon_Heb zenon_H88 zenon_Hf1 zenon_H1c8 zenon_H227 zenon_H16b zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L348_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L45_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L454_); trivial. % 1.20/1.45 apply (zenon_L557_); trivial. % 1.20/1.45 apply (zenon_L502_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L277_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L84_); trivial. % 1.20/1.45 apply (zenon_L557_); trivial. % 1.20/1.45 apply (zenon_L502_); trivial. % 1.20/1.45 apply (zenon_L448_); trivial. % 1.20/1.45 (* end of lemma zenon_L558_ *) % 1.20/1.45 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_Heb zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L175_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L84_); trivial. % 1.20/1.45 apply (zenon_L489_); trivial. % 1.20/1.45 (* end of lemma zenon_L559_ *) % 1.20/1.45 assert (zenon_L560_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_Heb zenon_Hc7 zenon_H80 zenon_Hba zenon_H1c8 zenon_H16a zenon_H152 zenon_H271 zenon_H55 zenon_H56 zenon_H57 zenon_H26f zenon_H2b zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H248 zenon_Hc0 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H7d zenon_Hdc zenon_H169. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_L544_); trivial. % 1.20/1.45 apply (zenon_L77_); trivial. % 1.20/1.45 apply (zenon_L559_); trivial. % 1.20/1.45 (* end of lemma zenon_L560_ *) % 1.20/1.45 assert (zenon_L561_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a492))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_Hcd zenon_H64 zenon_Hd0 zenon_Hcf. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.20/1.45 apply (zenon_L229_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.20/1.45 apply (zenon_L268_); trivial. % 1.20/1.45 apply (zenon_L71_); trivial. % 1.20/1.45 (* end of lemma zenon_L561_ *) % 1.20/1.45 assert (zenon_L562_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H253 zenon_H202 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H216 zenon_H217 zenon_H218 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H10 zenon_H20c zenon_H252 zenon_H254. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.20/1.45 apply (zenon_L415_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.20/1.45 apply (zenon_L561_); trivial. % 1.20/1.45 apply (zenon_L381_); trivial. % 1.20/1.45 (* end of lemma zenon_L562_ *) % 1.20/1.45 assert (zenon_L563_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> False). % 1.20/1.45 do 0 intro. intros zenon_H46 zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H47 zenon_H2b zenon_H2f zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H8a zenon_H8b zenon_H8c zenon_H227 zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H253 zenon_H202 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H216 zenon_H217 zenon_H218 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H252 zenon_H254. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.20/1.45 apply (zenon_L65_); trivial. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.20/1.45 apply (zenon_L458_); trivial. % 1.20/1.45 apply (zenon_L246_); trivial. % 1.20/1.45 apply (zenon_L562_); trivial. % 1.20/1.45 (* end of lemma zenon_L563_ *) % 1.20/1.45 assert (zenon_L564_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H16a zenon_H4d zenon_H210 zenon_H252 zenon_H254 zenon_H253 zenon_H55 zenon_H56 zenon_H57 zenon_H202 zenon_H47 zenon_H2b zenon_H2d zenon_H2f zenon_H8a zenon_H8b zenon_H8c zenon_H227 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Hc0 zenon_Hbc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L483_); trivial. % 1.20/1.45 apply (zenon_L462_); trivial. % 1.20/1.45 (* end of lemma zenon_L564_ *) % 1.20/1.45 assert (zenon_L565_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H169 zenon_H161 zenon_H218 zenon_H217 zenon_H216 zenon_Hc0 zenon_H174 zenon_H176 zenon_H175 zenon_H202 zenon_H2d zenon_H210 zenon_H16a zenon_H1ca zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H152. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L443_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_L397_); trivial. % 1.20/1.45 apply (zenon_L343_); trivial. % 1.20/1.45 (* end of lemma zenon_L565_ *) % 1.20/1.45 assert (zenon_L566_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (ndr1_0) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H168 zenon_H98 zenon_H189 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H275 zenon_H152 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H10 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L209_); trivial. % 1.20/1.45 apply (zenon_L475_); trivial. % 1.20/1.45 (* end of lemma zenon_L566_ *) % 1.20/1.45 assert (zenon_L567_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a442))/\((c2_1 (a442))/\(~(c3_1 (a442))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a443))/\((~(c1_1 (a443)))/\(~(c2_1 (a443))))))) -> False). % 1.20/1.45 do 0 intro. intros zenon_H29f zenon_H28b zenon_H299 zenon_H297 zenon_H29e zenon_H25b zenon_H265 zenon_H267 zenon_H26f zenon_H275 zenon_H271 zenon_H24d zenon_H163 zenon_H210 zenon_H202 zenon_H1f2 zenon_H153 zenon_H1d0 zenon_H16c zenon_H1ad zenon_H1a3 zenon_H1a7 zenon_H161 zenon_H9f zenon_Heb zenon_Hba zenon_Hc7 zenon_Hf1 zenon_H1a5 zenon_H128 zenon_H16b zenon_H185 zenon_H14e zenon_H190 zenon_H103 zenon_H152 zenon_H19b zenon_H13e zenon_H168 zenon_H98 zenon_H93 zenon_H53 zenon_H62 zenon_H80 zenon_H85 zenon_H88 zenon_H7 zenon_Hd zenon_H33 zenon_H2d zenon_H2f zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H16a zenon_Hff zenon_H101 zenon_Hc0 zenon_H27c zenon_H27d zenon_H27e zenon_H285 zenon_Hdc zenon_H169 zenon_H1b6 zenon_He7 zenon_H1c8 zenon_H1ce zenon_H124 zenon_H130 zenon_Hec zenon_He9 zenon_H1ca zenon_H1dd zenon_H1ed zenon_H1eb zenon_H215 zenon_H227 zenon_H24c zenon_H248 zenon_H245 zenon_H231 zenon_H277. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L267_); trivial. % 1.20/1.45 apply (zenon_L486_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L134_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L491_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L483_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L145_); trivial. % 1.20/1.45 apply (zenon_L490_); trivial. % 1.20/1.45 apply (zenon_L77_); trivial. % 1.20/1.45 apply (zenon_L165_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L181_); trivial. % 1.20/1.45 apply (zenon_L486_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L205_); trivial. % 1.20/1.45 apply (zenon_L492_); trivial. % 1.20/1.45 apply (zenon_L493_); trivial. % 1.20/1.45 apply (zenon_L320_); trivial. % 1.20/1.45 apply (zenon_L494_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L503_); trivial. % 1.20/1.45 apply (zenon_L105_); trivial. % 1.20/1.45 apply (zenon_L486_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L509_); trivial. % 1.20/1.45 apply (zenon_L133_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L512_); trivial. % 1.20/1.45 apply (zenon_L285_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L503_); trivial. % 1.20/1.45 apply (zenon_L180_); trivial. % 1.20/1.45 apply (zenon_L289_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L294_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L513_); trivial. % 1.20/1.45 apply (zenon_L318_); trivial. % 1.20/1.45 apply (zenon_L319_); trivial. % 1.20/1.45 apply (zenon_L320_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L516_); trivial. % 1.20/1.45 apply (zenon_L40_); trivial. % 1.20/1.45 apply (zenon_L234_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L519_); trivial. % 1.20/1.45 apply (zenon_L40_); trivial. % 1.20/1.45 apply (zenon_L520_); trivial. % 1.20/1.45 apply (zenon_L345_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L358_); trivial. % 1.20/1.45 apply (zenon_L486_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L389_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L136_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L391_); trivial. % 1.20/1.45 apply (zenon_L490_); trivial. % 1.20/1.45 apply (zenon_L77_); trivial. % 1.20/1.45 apply (zenon_L398_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L348_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L399_); trivial. % 1.20/1.45 apply (zenon_L525_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L45_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L173_); trivial. % 1.20/1.45 apply (zenon_L528_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L185_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L173_); trivial. % 1.20/1.45 apply (zenon_L541_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L185_); trivial. % 1.20/1.45 apply (zenon_L542_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L185_); trivial. % 1.20/1.45 apply (zenon_L543_); trivial. % 1.20/1.45 apply (zenon_L406_); trivial. % 1.20/1.45 apply (zenon_L492_); trivial. % 1.20/1.45 apply (zenon_L420_); trivial. % 1.20/1.45 apply (zenon_L431_); trivial. % 1.20/1.45 apply (zenon_L320_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L440_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L443_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L232_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L233_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_L546_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.45 apply (zenon_L545_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L547_); trivial. % 1.20/1.45 apply (zenon_L550_); trivial. % 1.20/1.45 apply (zenon_L551_); trivial. % 1.20/1.45 apply (zenon_L479_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L440_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L443_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L232_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L233_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_L546_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.45 apply (zenon_L545_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L483_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L175_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L84_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L16_); trivial. % 1.20/1.45 apply (zenon_L552_); trivial. % 1.20/1.45 apply (zenon_L551_); trivial. % 1.20/1.45 apply (zenon_L553_); trivial. % 1.20/1.45 apply (zenon_L556_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L558_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L348_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L287_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L457_); trivial. % 1.20/1.45 apply (zenon_L560_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L509_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L45_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.45 apply (zenon_L454_); trivial. % 1.20/1.45 apply (zenon_L196_); trivial. % 1.20/1.45 apply (zenon_L507_); trivial. % 1.20/1.45 apply (zenon_L292_); trivial. % 1.20/1.45 apply (zenon_L357_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L513_); trivial. % 1.20/1.45 apply (zenon_L398_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L558_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L348_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L287_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L467_); trivial. % 1.20/1.45 apply (zenon_L560_); trivial. % 1.20/1.45 apply (zenon_L469_); trivial. % 1.20/1.45 apply (zenon_L473_); trivial. % 1.20/1.45 apply (zenon_L320_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_L476_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L443_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.45 apply (zenon_L232_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.45 apply (zenon_L233_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_L544_); trivial. % 1.20/1.45 apply (zenon_L343_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.20/1.45 apply (zenon_L483_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.45 apply (zenon_L175_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.45 apply (zenon_L341_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.45 apply (zenon_L352_); trivial. % 1.20/1.45 apply (zenon_L563_); trivial. % 1.20/1.45 apply (zenon_L551_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.45 apply (zenon_L564_); trivial. % 1.20/1.45 apply (zenon_L343_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.45 apply (zenon_L259_); trivial. % 1.20/1.45 apply (zenon_L475_); trivial. % 1.20/1.45 apply (zenon_L565_); trivial. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.20/1.45 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.20/1.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.46 apply (zenon_L566_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.46 apply (zenon_L443_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.46 apply (zenon_L233_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.20/1.46 apply (zenon_L427_); trivial. % 1.20/1.46 apply (zenon_L343_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.20/1.46 apply (zenon_L566_); trivial. % 1.20/1.46 apply (zenon_L565_); trivial. % 1.20/1.46 (* end of lemma zenon_L567_ *) % 1.20/1.46 assert (zenon_L568_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H12d zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5. % 1.20/1.46 generalize (zenon_H12d (a435)). zenon_intro zenon_H2a6. % 1.20/1.46 apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a7 ]. % 1.20/1.46 exact (zenon_Hf zenon_H10). % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H2a8 ]. % 1.20/1.46 exact (zenon_H2a3 zenon_H2a9). % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2aa ]. % 1.20/1.46 exact (zenon_H2a4 zenon_H2ab). % 1.20/1.46 exact (zenon_H2aa zenon_H2a5). % 1.20/1.46 (* end of lemma zenon_L568_ *) % 1.20/1.46 assert (zenon_L569_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hb3 zenon_Hde zenon_Hb1 zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H26 zenon_H1e zenon_H1c zenon_H10 zenon_H31. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.20/1.46 apply (zenon_L60_); trivial. % 1.20/1.46 apply (zenon_L436_); trivial. % 1.20/1.46 (* end of lemma zenon_L569_ *) % 1.20/1.46 assert (zenon_L570_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp28)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H185 zenon_H31 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_Hb1 zenon_Hb3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H182. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.46 apply (zenon_L569_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.46 apply (zenon_L9_); trivial. % 1.20/1.46 exact (zenon_H182 zenon_H183). % 1.20/1.46 (* end of lemma zenon_L570_ *) % 1.20/1.46 assert (zenon_L571_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H185 zenon_Hb3 zenon_Hb1 zenon_H54 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H182. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.46 apply (zenon_L60_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.46 apply (zenon_L9_); trivial. % 1.20/1.46 exact (zenon_H182 zenon_H183). % 1.20/1.46 (* end of lemma zenon_L571_ *) % 1.20/1.46 assert (zenon_L572_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp11)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H46 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H182 zenon_H12 zenon_H13 zenon_H14 zenon_Hb1 zenon_Hb3 zenon_H185 zenon_H47 zenon_H26 zenon_H1c zenon_H1e. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.20/1.46 apply (zenon_L571_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.20/1.46 apply (zenon_L115_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.20/1.46 apply (zenon_L18_); trivial. % 1.20/1.46 apply (zenon_L20_); trivial. % 1.20/1.46 (* end of lemma zenon_L572_ *) % 1.20/1.46 assert (zenon_L573_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp13)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H1ce zenon_Hb1 zenon_Hb3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H31 zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H5. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.46 apply (zenon_L569_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.46 apply (zenon_L436_); trivial. % 1.20/1.46 exact (zenon_H5 zenon_H6). % 1.20/1.46 (* end of lemma zenon_L573_ *) % 1.20/1.46 assert (zenon_L574_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.20/1.46 do 0 intro. intros zenon_Hba zenon_H4a zenon_H38 zenon_H37 zenon_H1b zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.20/1.46 apply (zenon_L310_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.20/1.46 apply (zenon_L48_); trivial. % 1.20/1.46 exact (zenon_H51 zenon_H52). % 1.20/1.46 (* end of lemma zenon_L574_ *) % 1.20/1.46 assert (zenon_L575_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp13)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hba zenon_H5. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.20/1.46 apply (zenon_L60_); trivial. % 1.20/1.46 apply (zenon_L574_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.20/1.46 apply (zenon_L574_); trivial. % 1.20/1.46 exact (zenon_H5 zenon_H6). % 1.20/1.46 (* end of lemma zenon_L575_ *) % 1.20/1.46 assert (zenon_L576_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (~(c3_1 (a484))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H4d zenon_Hba zenon_H51 zenon_Hb2 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_Hb3 zenon_Hb1 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H5 zenon_H1ce. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.20/1.46 apply (zenon_L573_); trivial. % 1.20/1.46 apply (zenon_L575_); trivial. % 1.20/1.46 (* end of lemma zenon_L576_ *) % 1.20/1.46 assert (zenon_L577_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp0)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H67 zenon_H66 zenon_H65 zenon_H124 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H5e zenon_Hff. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.20/1.46 apply (zenon_L30_); trivial. % 1.20/1.46 apply (zenon_L80_); trivial. % 1.20/1.46 (* end of lemma zenon_L577_ *) % 1.20/1.46 assert (zenon_L578_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H7f zenon_H185 zenon_H7d zenon_H65 zenon_H66 zenon_H67 zenon_H80 zenon_Hb1 zenon_Hb3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.20/1.46 apply (zenon_L60_); trivial. % 1.20/1.46 apply (zenon_L190_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.20/1.46 apply (zenon_L9_); trivial. % 1.20/1.46 exact (zenon_H182 zenon_H183). % 1.20/1.46 (* end of lemma zenon_L578_ *) % 1.20/1.46 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H132 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H85 zenon_H185 zenon_H182 zenon_H80 zenon_H7d zenon_H124 zenon_Hff zenon_H130 zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_Hba zenon_H4d zenon_H1c8 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.46 apply (zenon_L4_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.46 apply (zenon_L7_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.46 apply (zenon_L175_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.46 apply (zenon_L576_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.46 apply (zenon_L577_); trivial. % 1.20/1.46 apply (zenon_L578_); trivial. % 1.20/1.46 (* end of lemma zenon_L579_ *) % 1.20/1.46 assert (zenon_L580_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (~(hskp8)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H80 zenon_H78 zenon_H71 zenon_H70 zenon_H10 zenon_H1b zenon_H7d. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.20/1.46 apply (zenon_L112_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.20/1.46 apply (zenon_L32_); trivial. % 1.20/1.46 exact (zenon_H7d zenon_H7e). % 1.20/1.46 (* end of lemma zenon_L580_ *) % 1.20/1.46 assert (zenon_L581_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H7f zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H57 zenon_H56 zenon_H55 zenon_H80 zenon_H7d. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.20/1.46 apply (zenon_L26_); trivial. % 1.20/1.46 apply (zenon_L580_); trivial. % 1.20/1.46 (* end of lemma zenon_L581_ *) % 1.20/1.46 assert (zenon_L582_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H85 zenon_H2ac zenon_H7d zenon_H80 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.20/1.46 apply (zenon_L29_); trivial. % 1.20/1.46 apply (zenon_L581_); trivial. % 1.20/1.46 (* end of lemma zenon_L582_ *) % 1.20/1.46 assert (zenon_L583_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a456)) -> (c1_1 (a456)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H1b zenon_H234 zenon_H235. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.20/1.46 apply (zenon_L38_); trivial. % 1.20/1.46 apply (zenon_L337_); trivial. % 1.20/1.46 (* end of lemma zenon_L583_ *) % 1.20/1.46 assert (zenon_L584_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H247 zenon_H2ac zenon_H57 zenon_H56 zenon_H55 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H8c zenon_H8b zenon_H8a. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.20/1.46 apply (zenon_L26_); trivial. % 1.20/1.46 apply (zenon_L583_); trivial. % 1.20/1.46 (* end of lemma zenon_L584_ *) % 1.20/1.46 assert (zenon_L585_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H24c zenon_H2ac zenon_H2ae zenon_H57 zenon_H56 zenon_H55 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.20/1.46 apply (zenon_L335_); trivial. % 1.20/1.46 apply (zenon_L584_); trivial. % 1.20/1.46 (* end of lemma zenon_L585_ *) % 1.20/1.46 assert (zenon_L586_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp6)) -> False). % 1.20/1.46 do 0 intro. intros zenon_Hed zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H93 zenon_H8c zenon_H8b zenon_H8a zenon_H9. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.20/1.46 apply (zenon_L38_); trivial. % 1.20/1.46 apply (zenon_L161_); trivial. % 1.20/1.46 (* end of lemma zenon_L586_ *) % 1.20/1.46 assert (zenon_L587_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H95 zenon_Heb zenon_H9 zenon_H93 zenon_H231 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H55 zenon_H56 zenon_H57 zenon_H2ae zenon_H2ac zenon_H24c. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.46 apply (zenon_L585_); trivial. % 1.20/1.46 apply (zenon_L586_); trivial. % 1.20/1.46 (* end of lemma zenon_L587_ *) % 1.20/1.46 assert (zenon_L588_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H165 zenon_H98 zenon_Heb zenon_H9 zenon_H93 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.20/1.46 apply (zenon_L582_); trivial. % 1.20/1.46 apply (zenon_L587_); trivial. % 1.20/1.46 (* end of lemma zenon_L588_ *) % 1.20/1.46 assert (zenon_L589_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp9)) -> False). % 1.20/1.46 do 0 intro. intros zenon_Hed zenon_H163 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H142. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H12d | zenon_intro zenon_H164 ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hce | zenon_intro zenon_H143 ]. % 1.20/1.46 apply (zenon_L59_); trivial. % 1.20/1.46 exact (zenon_H142 zenon_H143). % 1.20/1.46 (* end of lemma zenon_L589_ *) % 1.20/1.46 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H84 zenon_Heb zenon_H163 zenon_H142 zenon_Hdc zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.46 apply (zenon_L56_); trivial. % 1.20/1.46 apply (zenon_L589_); trivial. % 1.20/1.46 (* end of lemma zenon_L590_ *) % 1.20/1.46 assert (zenon_L591_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H16e zenon_H88 zenon_H80 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H142 zenon_H163 zenon_Heb. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.20/1.46 apply (zenon_L70_); trivial. % 1.20/1.46 apply (zenon_L589_); trivial. % 1.20/1.46 apply (zenon_L590_); trivial. % 1.20/1.46 (* end of lemma zenon_L591_ *) % 1.20/1.46 assert (zenon_L592_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.20/1.46 do 0 intro. intros zenon_H84 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.20/1.46 apply (zenon_L568_); trivial. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.20/1.46 apply (zenon_L30_); trivial. % 1.20/1.46 apply (zenon_L184_); trivial. % 1.20/1.46 (* end of lemma zenon_L592_ *) % 1.20/1.46 assert (zenon_L593_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.20/1.46 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.46 apply (zenon_L84_); trivial. % 1.20/1.46 apply (zenon_L592_); trivial. % 1.20/1.46 (* end of lemma zenon_L593_ *) % 1.20/1.46 assert (zenon_L594_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.46 apply (zenon_L185_); trivial. % 1.20/1.46 apply (zenon_L593_); trivial. % 1.20/1.46 (* end of lemma zenon_L594_ *) % 1.20/1.46 assert (zenon_L595_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H16b zenon_H126 zenon_H128 zenon_H7 zenon_H5 zenon_H1 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H4d zenon_Hba zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H189. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.20/1.46 apply (zenon_L4_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.20/1.46 apply (zenon_L7_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.46 apply (zenon_L45_); trivial. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.46 apply (zenon_L576_); trivial. % 1.20/1.46 apply (zenon_L592_); trivial. % 1.20/1.46 apply (zenon_L594_); trivial. % 1.20/1.46 (* end of lemma zenon_L595_ *) % 1.20/1.46 assert (zenon_L596_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.20/1.46 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.46 apply (zenon_L173_); trivial. % 1.20/1.46 apply (zenon_L592_); trivial. % 1.20/1.46 (* end of lemma zenon_L596_ *) % 1.20/1.46 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H165 zenon_H16b zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_He7 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.20/1.46 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.46 apply (zenon_L185_); trivial. % 1.20/1.46 apply (zenon_L596_); trivial. % 1.20/1.46 apply (zenon_L594_); trivial. % 1.20/1.46 (* end of lemma zenon_L597_ *) % 1.20/1.46 assert (zenon_L598_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.20/1.46 do 0 intro. intros zenon_H168 zenon_He7 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_Hba zenon_H4d zenon_H9b zenon_H9f zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H128 zenon_H126 zenon_H16b. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.20/1.46 apply (zenon_L595_); trivial. % 1.20/1.46 apply (zenon_L597_); trivial. % 1.20/1.46 (* end of lemma zenon_L598_ *) % 1.20/1.46 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.20/1.46 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.20/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.20/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.20/1.46 apply (zenon_L182_); trivial. % 1.20/1.46 apply (zenon_L592_); trivial. % 1.20/1.46 (* end of lemma zenon_L599_ *) % 1.20/1.46 assert (zenon_L600_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.20/1.46 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.20/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.20/1.46 apply (zenon_L185_); trivial. % 1.20/1.46 apply (zenon_L599_); trivial. % 1.20/1.46 (* end of lemma zenon_L600_ *) % 1.20/1.46 assert (zenon_L601_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H16b zenon_He7 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H1ca zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.46 apply (zenon_L600_); trivial. % 1.30/1.46 apply (zenon_L597_); trivial. % 1.30/1.46 (* end of lemma zenon_L601_ *) % 1.30/1.46 assert (zenon_L602_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H1ca zenon_H16b zenon_H126 zenon_H128 zenon_H7 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H4d zenon_Hba zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H189 zenon_He7 zenon_H168. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.46 apply (zenon_L598_); trivial. % 1.30/1.46 apply (zenon_L601_); trivial. % 1.30/1.46 (* end of lemma zenon_L602_ *) % 1.30/1.46 assert (zenon_L603_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1ef zenon_H168 zenon_H98 zenon_Heb zenon_H9 zenon_H93 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_He9 zenon_Hec. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.46 apply (zenon_L209_); trivial. % 1.30/1.46 apply (zenon_L588_); trivial. % 1.30/1.46 (* end of lemma zenon_L603_ *) % 1.30/1.46 assert (zenon_L604_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (ndr1_0) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hb3 zenon_Hde zenon_Hb1 zenon_Haa zenon_H10 zenon_H37 zenon_H38 zenon_H4a. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.30/1.46 apply (zenon_L568_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.30/1.46 apply (zenon_L60_); trivial. % 1.30/1.46 apply (zenon_L310_); trivial. % 1.30/1.46 (* end of lemma zenon_L604_ *) % 1.30/1.46 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp11)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp2)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H46 zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H182 zenon_H12 zenon_H13 zenon_H14 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hb3 zenon_Hb1 zenon_H185 zenon_He9. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ec ]. % 1.30/1.46 apply (zenon_L223_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Haa | zenon_intro zenon_Hea ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.46 apply (zenon_L604_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.46 apply (zenon_L9_); trivial. % 1.30/1.46 exact (zenon_H182 zenon_H183). % 1.30/1.46 exact (zenon_He9 zenon_Hea). % 1.30/1.46 (* end of lemma zenon_L605_ *) % 1.30/1.46 assert (zenon_L606_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H168 zenon_H98 zenon_Heb zenon_H93 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H80 zenon_H7d zenon_H85 zenon_H189 zenon_H50 zenon_Hf1 zenon_H4d zenon_H1eb zenon_He9 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H182 zenon_H185 zenon_H9b zenon_H9f zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H16b. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.46 apply (zenon_L4_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.46 apply (zenon_L7_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.46 apply (zenon_L45_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.46 apply (zenon_L570_); trivial. % 1.30/1.46 apply (zenon_L605_); trivial. % 1.30/1.46 apply (zenon_L225_); trivial. % 1.30/1.46 apply (zenon_L588_); trivial. % 1.30/1.46 (* end of lemma zenon_L606_ *) % 1.30/1.46 assert (zenon_L607_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp14)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H46 zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hb3 zenon_Hb1 zenon_Hec zenon_He9. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ec ]. % 1.30/1.46 apply (zenon_L223_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Haa | zenon_intro zenon_Hea ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.30/1.46 apply (zenon_L604_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.30/1.46 exact (zenon_H1 zenon_H2). % 1.30/1.46 exact (zenon_He9 zenon_Hea). % 1.30/1.46 exact (zenon_He9 zenon_Hea). % 1.30/1.46 (* end of lemma zenon_L607_ *) % 1.30/1.46 assert (zenon_L608_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1b6 zenon_H169 zenon_H88 zenon_Hec zenon_Hdc zenon_He7 zenon_Hc7 zenon_Hba zenon_Hc0 zenon_H101 zenon_Hff zenon_H16a zenon_H16b zenon_H7 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H185 zenon_H182 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_He9 zenon_H1eb zenon_H4d zenon_Hf1 zenon_H50 zenon_H189 zenon_H85 zenon_H7d zenon_H80 zenon_H62 zenon_H24c zenon_H2ae zenon_H231 zenon_H93 zenon_Heb zenon_H98 zenon_H168. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.46 apply (zenon_L606_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.46 apply (zenon_L64_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.46 apply (zenon_L45_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.46 apply (zenon_L67_); trivial. % 1.30/1.46 apply (zenon_L607_); trivial. % 1.30/1.46 apply (zenon_L77_); trivial. % 1.30/1.46 apply (zenon_L225_); trivial. % 1.30/1.46 apply (zenon_L588_); trivial. % 1.30/1.46 (* end of lemma zenon_L608_ *) % 1.30/1.46 assert (zenon_L609_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H99 zenon_H9b zenon_H9f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.46 apply (zenon_L45_); trivial. % 1.30/1.46 apply (zenon_L599_); trivial. % 1.30/1.46 (* end of lemma zenon_L609_ *) % 1.30/1.46 assert (zenon_L610_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (~(c3_1 (a492))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_Hcd zenon_H64 zenon_Hd0 zenon_Hcf. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.30/1.46 apply (zenon_L568_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.30/1.46 apply (zenon_L38_); trivial. % 1.30/1.46 apply (zenon_L71_); trivial. % 1.30/1.46 (* end of lemma zenon_L610_ *) % 1.30/1.46 assert (zenon_L611_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hed zenon_H130 zenon_H8a zenon_H8b zenon_H8c zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H1ba zenon_H1bc zenon_H1bb. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.30/1.46 apply (zenon_L568_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.30/1.46 apply (zenon_L610_); trivial. % 1.30/1.46 apply (zenon_L184_); trivial. % 1.30/1.46 (* end of lemma zenon_L611_ *) % 1.30/1.46 assert (zenon_L612_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H95 zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H231 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H55 zenon_H56 zenon_H57 zenon_H2ae zenon_H2ac zenon_H24c. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.46 apply (zenon_L585_); trivial. % 1.30/1.46 apply (zenon_L611_); trivial. % 1.30/1.46 (* end of lemma zenon_L612_ *) % 1.30/1.46 assert (zenon_L613_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H165 zenon_H98 zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.46 apply (zenon_L582_); trivial. % 1.30/1.46 apply (zenon_L612_); trivial. % 1.30/1.46 (* end of lemma zenon_L613_ *) % 1.30/1.46 assert (zenon_L614_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_Heb zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H9b zenon_H9f zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_He9 zenon_H1eb zenon_H16b. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.46 apply (zenon_L609_); trivial. % 1.30/1.46 apply (zenon_L225_); trivial. % 1.30/1.46 apply (zenon_L613_); trivial. % 1.30/1.46 (* end of lemma zenon_L614_ *) % 1.30/1.46 assert (zenon_L615_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H98 zenon_Heb zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H80 zenon_H7d zenon_H85 zenon_H1ca zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_He9 zenon_H1eb zenon_H16b zenon_H126 zenon_H128 zenon_H7 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H4d zenon_Hba zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H189 zenon_He7 zenon_H168. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.46 apply (zenon_L598_); trivial. % 1.30/1.46 apply (zenon_L614_); trivial. % 1.30/1.46 (* end of lemma zenon_L615_ *) % 1.30/1.46 assert (zenon_L616_ : ((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H24e zenon_H215 zenon_H1f2 zenon_H16b zenon_H1eb zenon_H9f zenon_He7 zenon_He9 zenon_Hec zenon_Hf1 zenon_H168 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H163. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H12d | zenon_intro zenon_H164 ]. % 1.30/1.46 apply (zenon_L568_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hce | zenon_intro zenon_H143 ]. % 1.30/1.46 apply (zenon_L229_); trivial. % 1.30/1.46 exact (zenon_H142 zenon_H143). % 1.30/1.46 apply (zenon_L265_); trivial. % 1.30/1.46 (* end of lemma zenon_L616_ *) % 1.30/1.46 assert (zenon_L617_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H47 zenon_H14 zenon_H13 zenon_H12 zenon_H38 zenon_H37 zenon_H1b zenon_H10 zenon_H217 zenon_H192 zenon_H216 zenon_H218. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.30/1.46 apply (zenon_L9_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.30/1.46 apply (zenon_L18_); trivial. % 1.30/1.46 apply (zenon_L274_); trivial. % 1.30/1.46 (* end of lemma zenon_L617_ *) % 1.30/1.46 assert (zenon_L618_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (c0_1 (a437)) -> (c3_1 (a437)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H185 zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H37 zenon_H38 zenon_H47 zenon_Hb1 zenon_Hb3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H182. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.30/1.46 apply (zenon_L568_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.30/1.46 apply (zenon_L60_); trivial. % 1.30/1.46 apply (zenon_L617_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.46 apply (zenon_L9_); trivial. % 1.30/1.46 exact (zenon_H182 zenon_H183). % 1.30/1.46 (* end of lemma zenon_L618_ *) % 1.30/1.46 assert (zenon_L619_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hf2 zenon_H4d zenon_H227 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H182 zenon_H185 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H5 zenon_H1ce. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.46 apply (zenon_L573_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.30/1.46 apply (zenon_L618_); trivial. % 1.30/1.46 apply (zenon_L20_); trivial. % 1.30/1.46 (* end of lemma zenon_L619_ *) % 1.30/1.46 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H4d zenon_H227 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H182 zenon_H185 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H5 zenon_H1ce zenon_H99 zenon_H9b zenon_H9f. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.46 apply (zenon_L45_); trivial. % 1.30/1.46 apply (zenon_L619_); trivial. % 1.30/1.46 (* end of lemma zenon_L620_ *) % 1.30/1.46 assert (zenon_L621_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H184 zenon_H50 zenon_Hf1 zenon_H4d zenon_H227 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H182 zenon_H185 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H99 zenon_H9b zenon_H9f zenon_H9 zenon_H5 zenon_Hd. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.46 apply (zenon_L7_); trivial. % 1.30/1.46 apply (zenon_L620_); trivial. % 1.30/1.46 (* end of lemma zenon_L621_ *) % 1.30/1.46 assert (zenon_L622_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H16b zenon_H1c8 zenon_H7 zenon_H5 zenon_H1 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_H185 zenon_H182 zenon_H47 zenon_H218 zenon_H216 zenon_H217 zenon_H227 zenon_H4d zenon_Hf1 zenon_H50 zenon_H189. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.46 apply (zenon_L4_); trivial. % 1.30/1.46 apply (zenon_L621_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.46 apply (zenon_L4_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.46 apply (zenon_L7_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.46 apply (zenon_L175_); trivial. % 1.30/1.46 apply (zenon_L619_); trivial. % 1.30/1.46 (* end of lemma zenon_L622_ *) % 1.30/1.46 assert (zenon_L623_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H168 zenon_H98 zenon_Heb zenon_H93 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H80 zenon_H7d zenon_H85 zenon_H189 zenon_H50 zenon_Hf1 zenon_H4d zenon_H227 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H182 zenon_H185 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H9b zenon_H9f zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H1c8 zenon_H16b. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.46 apply (zenon_L622_); trivial. % 1.30/1.46 apply (zenon_L588_); trivial. % 1.30/1.46 (* end of lemma zenon_L623_ *) % 1.30/1.46 assert (zenon_L624_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_Heb zenon_H163 zenon_H142 zenon_Hdc zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.46 apply (zenon_L84_); trivial. % 1.30/1.46 apply (zenon_L590_); trivial. % 1.30/1.46 (* end of lemma zenon_L624_ *) % 1.30/1.46 assert (zenon_L625_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_Heb zenon_H163 zenon_Hdc zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hc7 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H19b zenon_H142 zenon_H7d zenon_H227. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.46 apply (zenon_L277_); trivial. % 1.30/1.46 apply (zenon_L624_); trivial. % 1.30/1.46 (* end of lemma zenon_L625_ *) % 1.30/1.46 assert (zenon_L626_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H165 zenon_H98 zenon_Heb zenon_H163 zenon_H142 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.46 apply (zenon_L582_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.46 apply (zenon_L585_); trivial. % 1.30/1.46 apply (zenon_L589_); trivial. % 1.30/1.46 (* end of lemma zenon_L626_ *) % 1.30/1.46 assert (zenon_L627_ : ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3)))))) -> (~(hskp26)) -> (~(hskp27)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H28b zenon_H4a zenon_H38 zenon_H37 zenon_H10 zenon_Haa zenon_Hc5 zenon_H289. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H1b | zenon_intro zenon_H28c ]. % 1.30/1.46 apply (zenon_L310_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H28a ]. % 1.30/1.46 exact (zenon_Hc5 zenon_Hc6). % 1.30/1.46 exact (zenon_H289 zenon_H28a). % 1.30/1.46 (* end of lemma zenon_L627_ *) % 1.30/1.46 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp27)) -> (~(hskp26)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(hskp23)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H46 zenon_H1c8 zenon_H289 zenon_Hc5 zenon_H28b zenon_H1e zenon_H1c zenon_H26 zenon_H9d. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.30/1.46 apply (zenon_L627_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.30/1.46 apply (zenon_L20_); trivial. % 1.30/1.46 exact (zenon_H9d zenon_H9e). % 1.30/1.46 (* end of lemma zenon_L628_ *) % 1.30/1.46 assert (zenon_L629_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H4d zenon_H1c8 zenon_H9d zenon_H1e zenon_H1c zenon_H26 zenon_Hc5 zenon_H289 zenon_H28b zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.46 apply (zenon_L297_); trivial. % 1.30/1.46 apply (zenon_L628_); trivial. % 1.30/1.46 (* end of lemma zenon_L629_ *) % 1.30/1.46 assert (zenon_L630_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp8)) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H46 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H7d zenon_Hcd zenon_Hd0 zenon_Hcf zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H1ba zenon_H1bc zenon_H1bb. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.30/1.46 apply (zenon_L568_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.30/1.46 apply (zenon_L270_); trivial. % 1.30/1.46 apply (zenon_L184_); trivial. % 1.30/1.46 (* end of lemma zenon_L630_ *) % 1.30/1.46 assert (zenon_L631_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hed zenon_H4d zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Hdc zenon_H7d zenon_H1ad zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.46 apply (zenon_L297_); trivial. % 1.30/1.46 apply (zenon_L630_); trivial. % 1.30/1.46 (* end of lemma zenon_L631_ *) % 1.30/1.46 assert (zenon_L632_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp27)) -> (~(hskp26)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H46 zenon_Hba zenon_H289 zenon_Hc5 zenon_H28b zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.30/1.46 apply (zenon_L627_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.30/1.46 apply (zenon_L48_); trivial. % 1.30/1.46 exact (zenon_H51 zenon_H52). % 1.30/1.46 (* end of lemma zenon_L632_ *) % 1.30/1.46 assert (zenon_L633_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H4d zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hc5 zenon_H289 zenon_H28b zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.46 apply (zenon_L297_); trivial. % 1.30/1.46 apply (zenon_L632_); trivial. % 1.30/1.46 (* end of lemma zenon_L633_ *) % 1.30/1.46 assert (zenon_L634_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp16)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H7f zenon_H1a3 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H60. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.30/1.46 apply (zenon_L172_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.30/1.46 apply (zenon_L230_); trivial. % 1.30/1.46 exact (zenon_H60 zenon_H61). % 1.30/1.46 (* end of lemma zenon_L634_ *) % 1.30/1.46 assert (zenon_L635_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H29b zenon_H85 zenon_H1a3 zenon_H60 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H9b zenon_H297. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.30/1.47 apply (zenon_L533_); trivial. % 1.30/1.47 apply (zenon_L634_); trivial. % 1.30/1.47 (* end of lemma zenon_L635_ *) % 1.30/1.47 assert (zenon_L636_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H29e zenon_H85 zenon_H1a3 zenon_H60 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H28b zenon_Hc5 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H4d. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.30/1.47 apply (zenon_L633_); trivial. % 1.30/1.47 apply (zenon_L635_); trivial. % 1.30/1.47 (* end of lemma zenon_L636_ *) % 1.30/1.47 assert (zenon_L637_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_Hba zenon_H29e zenon_H85 zenon_H227 zenon_H1bc zenon_H1bb zenon_H1ba zenon_H60 zenon_H1a3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H28b zenon_H1c8 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1ad zenon_H7d zenon_Hdc zenon_H130 zenon_Heb. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.30/1.47 apply (zenon_L629_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.30/1.47 apply (zenon_L533_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.30/1.47 apply (zenon_L306_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.30/1.47 apply (zenon_L230_); trivial. % 1.30/1.47 exact (zenon_H60 zenon_H61). % 1.30/1.47 apply (zenon_L20_); trivial. % 1.30/1.47 apply (zenon_L631_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.47 apply (zenon_L636_); trivial. % 1.30/1.47 apply (zenon_L631_); trivial. % 1.30/1.47 apply (zenon_L592_); trivial. % 1.30/1.47 (* end of lemma zenon_L637_ *) % 1.30/1.47 assert (zenon_L638_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_Hba zenon_H29e zenon_H85 zenon_H227 zenon_H1bc zenon_H1bb zenon_H1ba zenon_H60 zenon_H1a3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H28b zenon_H1c8 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1ad zenon_H7d zenon_Hdc zenon_H130 zenon_Heb zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.47 apply (zenon_L4_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.47 apply (zenon_L7_); trivial. % 1.30/1.47 apply (zenon_L637_); trivial. % 1.30/1.47 (* end of lemma zenon_L638_ *) % 1.30/1.47 assert (zenon_L639_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp25)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp13)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H13c zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hba zenon_H5. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.30/1.47 apply (zenon_L93_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.30/1.47 apply (zenon_L574_); trivial. % 1.30/1.47 exact (zenon_H5 zenon_H6). % 1.30/1.47 (* end of lemma zenon_L639_ *) % 1.30/1.47 assert (zenon_L640_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp14)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H14d zenon_H1ca zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H1. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.30/1.47 apply (zenon_L172_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.30/1.47 apply (zenon_L96_); trivial. % 1.30/1.47 exact (zenon_H1 zenon_H2). % 1.30/1.47 (* end of lemma zenon_L640_ *) % 1.30/1.47 assert (zenon_L641_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H152 zenon_H1ca zenon_H1 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H1ce zenon_H5 zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H4d. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.47 apply (zenon_L437_); trivial. % 1.30/1.47 apply (zenon_L639_); trivial. % 1.30/1.47 apply (zenon_L640_); trivial. % 1.30/1.47 (* end of lemma zenon_L641_ *) % 1.30/1.47 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H4d zenon_Hba zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H14 zenon_H13 zenon_H12 zenon_H5 zenon_H1ce zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1 zenon_H1ca zenon_H152. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_L641_); trivial. % 1.30/1.47 apply (zenon_L592_); trivial. % 1.30/1.47 (* end of lemma zenon_L642_ *) % 1.30/1.47 assert (zenon_L643_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H4d zenon_Hba zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H33 zenon_H1ce zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H152 zenon_H99 zenon_H9b zenon_H9f zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.47 apply (zenon_L4_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.47 apply (zenon_L7_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.47 apply (zenon_L45_); trivial. % 1.30/1.47 apply (zenon_L642_); trivial. % 1.30/1.47 (* end of lemma zenon_L643_ *) % 1.30/1.47 assert (zenon_L644_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H168 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H80 zenon_H2ac zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_Hba zenon_H29e zenon_H85 zenon_H227 zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1a3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H28b zenon_H1c8 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1ad zenon_H7d zenon_Hdc zenon_H130 zenon_Heb zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H13e zenon_H1ce zenon_H1ca zenon_H152 zenon_H9f zenon_H93 zenon_H16b zenon_H98. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.47 apply (zenon_L638_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.47 apply (zenon_L643_); trivial. % 1.30/1.47 apply (zenon_L178_); trivial. % 1.30/1.47 apply (zenon_L613_); trivial. % 1.30/1.47 (* end of lemma zenon_L644_ *) % 1.30/1.47 assert (zenon_L645_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2ac zenon_H85 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H9b zenon_H9f zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H80 zenon_Hc7 zenon_Hdc zenon_H163 zenon_Heb zenon_H16b. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.47 apply (zenon_L609_); trivial. % 1.30/1.47 apply (zenon_L625_); trivial. % 1.30/1.47 apply (zenon_L626_); trivial. % 1.30/1.47 (* end of lemma zenon_L645_ *) % 1.30/1.47 assert (zenon_L646_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H142 zenon_H19b zenon_Hc7 zenon_H163 zenon_H98 zenon_H16b zenon_H93 zenon_H9f zenon_H152 zenon_H1ca zenon_H1ce zenon_H13e zenon_H7 zenon_Hd zenon_H9 zenon_Heb zenon_H130 zenon_Hdc zenon_H7d zenon_H1ad zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H4d zenon_H1c8 zenon_H28b zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H297 zenon_H9b zenon_H1a3 zenon_H227 zenon_H85 zenon_H29e zenon_Hba zenon_H88 zenon_Hf1 zenon_H50 zenon_H189 zenon_H2ac zenon_H80 zenon_H62 zenon_H24c zenon_H2ae zenon_H231 zenon_H168. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.47 apply (zenon_L644_); trivial. % 1.30/1.47 apply (zenon_L645_); trivial. % 1.30/1.47 (* end of lemma zenon_L646_ *) % 1.30/1.47 assert (zenon_L647_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_He9 zenon_H1eb zenon_H98 zenon_H16b zenon_H93 zenon_H9f zenon_H152 zenon_H1ca zenon_H1ce zenon_H13e zenon_H7 zenon_Hd zenon_H9 zenon_Heb zenon_H130 zenon_Hdc zenon_H7d zenon_H1ad zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H4d zenon_H1c8 zenon_H28b zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H297 zenon_H9b zenon_H1a3 zenon_H227 zenon_H85 zenon_H29e zenon_Hba zenon_H88 zenon_Hf1 zenon_H50 zenon_H189 zenon_H2ac zenon_H80 zenon_H62 zenon_H24c zenon_H2ae zenon_H231 zenon_H168. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.47 apply (zenon_L644_); trivial. % 1.30/1.47 apply (zenon_L614_); trivial. % 1.30/1.47 (* end of lemma zenon_L647_ *) % 1.30/1.47 assert (zenon_L648_ : (forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> False). % 1.30/1.47 do 0 intro. intros zenon_Hb0 zenon_H10 zenon_H20c zenon_H2a4 zenon_H2a5. % 1.30/1.47 generalize (zenon_Hb0 (a435)). zenon_intro zenon_H2b0. % 1.30/1.47 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_Hf | zenon_intro zenon_H2b1 ]. % 1.30/1.47 exact (zenon_Hf zenon_H10). % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2a8 ]. % 1.30/1.47 generalize (zenon_H20c (a435)). zenon_intro zenon_H2b3. % 1.30/1.47 apply (zenon_imply_s _ _ zenon_H2b3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2b4 ]. % 1.30/1.47 exact (zenon_Hf zenon_H10). % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b5 ]. % 1.30/1.47 exact (zenon_H2a4 zenon_H2ab). % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2b6 ]. % 1.30/1.47 exact (zenon_H2aa zenon_H2a5). % 1.30/1.47 exact (zenon_H2b6 zenon_H2b2). % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2aa ]. % 1.30/1.47 exact (zenon_H2a4 zenon_H2ab). % 1.30/1.47 exact (zenon_H2aa zenon_H2a5). % 1.30/1.47 (* end of lemma zenon_L648_ *) % 1.30/1.47 assert (zenon_L649_ : ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (ndr1_0) -> (forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103)))))) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H10 zenon_Hb0 zenon_H31 zenon_H3. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H20c | zenon_intro zenon_H266 ]. % 1.30/1.47 apply (zenon_L648_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H32 | zenon_intro zenon_H4 ]. % 1.30/1.47 exact (zenon_H31 zenon_H32). % 1.30/1.47 exact (zenon_H3 zenon_H4). % 1.30/1.47 (* end of lemma zenon_L649_ *) % 1.30/1.47 assert (zenon_L650_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp24)) -> False). % 1.30/1.47 do 0 intro. intros zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H31 zenon_H10 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H51. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.30/1.47 apply (zenon_L387_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.30/1.47 apply (zenon_L649_); trivial. % 1.30/1.47 exact (zenon_H51 zenon_H52). % 1.30/1.47 (* end of lemma zenon_L650_ *) % 1.30/1.47 assert (zenon_L651_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13c zenon_H13e zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.47 apply (zenon_L650_); trivial. % 1.30/1.47 apply (zenon_L354_); trivial. % 1.30/1.47 (* end of lemma zenon_L651_ *) % 1.30/1.47 assert (zenon_L652_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_Hba zenon_H51 zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.30/1.47 apply (zenon_L651_); trivial. % 1.30/1.47 apply (zenon_L125_); trivial. % 1.30/1.47 (* end of lemma zenon_L652_ *) % 1.30/1.47 assert (zenon_L653_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H67 zenon_H66 zenon_H65 zenon_H265 zenon_H254 zenon_H252 zenon_H10 zenon_H31 zenon_H3. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.30/1.47 apply (zenon_L568_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.30/1.47 apply (zenon_L30_); trivial. % 1.30/1.47 apply (zenon_L382_); trivial. % 1.30/1.47 (* end of lemma zenon_L653_ *) % 1.30/1.47 assert (zenon_L654_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H253 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13c zenon_H13e zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H65 zenon_H66 zenon_H67 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H130. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.47 apply (zenon_L653_); trivial. % 1.30/1.47 apply (zenon_L354_); trivial. % 1.30/1.47 (* end of lemma zenon_L654_ *) % 1.30/1.47 assert (zenon_L655_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H253 zenon_H5 zenon_H1ce zenon_H4d. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.30/1.47 apply (zenon_L654_); trivial. % 1.30/1.47 apply (zenon_L129_); trivial. % 1.30/1.47 (* end of lemma zenon_L655_ *) % 1.30/1.47 assert (zenon_L656_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H165 zenon_H98 zenon_H189 zenon_H103 zenon_H182 zenon_H185 zenon_H152 zenon_H19b zenon_H142 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_H130 zenon_H88 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.47 apply (zenon_L582_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_L652_); trivial. % 1.30/1.47 apply (zenon_L655_); trivial. % 1.30/1.47 apply (zenon_L130_); trivial. % 1.30/1.47 (* end of lemma zenon_L656_ *) % 1.30/1.47 assert (zenon_L657_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1b6 zenon_Heb zenon_H163 zenon_Hdc zenon_H231 zenon_H2ae zenon_H24c zenon_H25b zenon_H2b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H85 zenon_H2ac zenon_H7d zenon_H80 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H62 zenon_H88 zenon_H130 zenon_H4d zenon_H1ce zenon_H267 zenon_H13e zenon_H265 zenon_Hba zenon_H142 zenon_H19b zenon_H152 zenon_H185 zenon_H182 zenon_H103 zenon_H189 zenon_H98 zenon_H168. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_L348_); trivial. % 1.30/1.47 apply (zenon_L656_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_L348_); trivial. % 1.30/1.47 apply (zenon_L626_); trivial. % 1.30/1.47 (* end of lemma zenon_L657_ *) % 1.30/1.47 assert (zenon_L658_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H152 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_Hba zenon_H51 zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.30/1.47 apply (zenon_L651_); trivial. % 1.30/1.47 apply (zenon_L244_); trivial. % 1.30/1.47 (* end of lemma zenon_L658_ *) % 1.30/1.47 assert (zenon_L659_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H67 zenon_H66 zenon_H65 zenon_H10 zenon_H20c zenon_H252 zenon_H254. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.30/1.47 apply (zenon_L568_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.30/1.47 apply (zenon_L30_); trivial. % 1.30/1.47 apply (zenon_L381_); trivial. % 1.30/1.47 (* end of lemma zenon_L659_ *) % 1.30/1.47 assert (zenon_L660_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H84 zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H175 zenon_H176 zenon_H174 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H252 zenon_H254. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.30/1.47 apply (zenon_L65_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.30/1.47 apply (zenon_L166_); trivial. % 1.30/1.47 apply (zenon_L659_); trivial. % 1.30/1.47 (* end of lemma zenon_L660_ *) % 1.30/1.47 assert (zenon_L661_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H16e zenon_H88 zenon_H210 zenon_H2a3 zenon_H130 zenon_H175 zenon_H176 zenon_H174 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_L652_); trivial. % 1.30/1.47 apply (zenon_L660_); trivial. % 1.30/1.47 (* end of lemma zenon_L661_ *) % 1.30/1.47 assert (zenon_L662_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H111 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H8c zenon_H8b zenon_H8a. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.30/1.47 apply (zenon_L568_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.30/1.47 apply (zenon_L38_); trivial. % 1.30/1.47 apply (zenon_L76_); trivial. % 1.30/1.47 (* end of lemma zenon_L662_ *) % 1.30/1.47 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H165 zenon_H98 zenon_H189 zenon_H103 zenon_H182 zenon_H185 zenon_H16a zenon_H210 zenon_H175 zenon_H176 zenon_H174 zenon_H142 zenon_H19b zenon_H152 zenon_Hc0 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_H130 zenon_H88 zenon_H2ae zenon_H169 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.47 apply (zenon_L582_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_L658_); trivial. % 1.30/1.47 apply (zenon_L655_); trivial. % 1.30/1.47 apply (zenon_L661_); trivial. % 1.30/1.47 apply (zenon_L662_); trivial. % 1.30/1.47 apply (zenon_L130_); trivial. % 1.30/1.47 (* end of lemma zenon_L663_ *) % 1.30/1.47 assert (zenon_L664_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H168 zenon_H98 zenon_H103 zenon_H16a zenon_H210 zenon_H142 zenon_H19b zenon_H152 zenon_Hc0 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H1ce zenon_H4d zenon_H130 zenon_H88 zenon_H2ae zenon_H169 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H2ac zenon_H85 zenon_H7 zenon_H5 zenon_H14e zenon_Hff zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H189. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_L111_); trivial. % 1.30/1.47 apply (zenon_L663_); trivial. % 1.30/1.47 (* end of lemma zenon_L664_ *) % 1.30/1.47 assert (zenon_L665_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2ac zenon_H85 zenon_H16a zenon_H88 zenon_H80 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hdc zenon_H142 zenon_H163 zenon_Heb zenon_Hc0 zenon_H176 zenon_H175 zenon_H174 zenon_He9 zenon_Hec zenon_H169. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.47 apply (zenon_L136_); trivial. % 1.30/1.47 apply (zenon_L591_); trivial. % 1.30/1.47 apply (zenon_L77_); trivial. % 1.30/1.47 apply (zenon_L626_); trivial. % 1.30/1.47 (* end of lemma zenon_L665_ *) % 1.30/1.47 assert (zenon_L666_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (ndr1_0) -> (c1_1 (a450)) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c3_1 (a450)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1a7 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H10 zenon_H176 zenon_H89 zenon_H175. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.30/1.47 apply (zenon_L172_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.30/1.47 apply (zenon_L452_); trivial. % 1.30/1.47 apply (zenon_L137_); trivial. % 1.30/1.47 (* end of lemma zenon_L666_ *) % 1.30/1.47 assert (zenon_L667_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1a7 zenon_H175 zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H2ae. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.30/1.47 apply (zenon_L568_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.30/1.47 apply (zenon_L666_); trivial. % 1.30/1.47 apply (zenon_L452_); trivial. % 1.30/1.47 apply (zenon_L592_); trivial. % 1.30/1.47 (* end of lemma zenon_L667_ *) % 1.30/1.47 assert (zenon_L668_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1d1 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1a7 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H2ae zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.47 apply (zenon_L185_); trivial. % 1.30/1.47 apply (zenon_L667_); trivial. % 1.30/1.47 (* end of lemma zenon_L668_ *) % 1.30/1.47 assert (zenon_L669_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1a7 zenon_H2ae zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_He7 zenon_H126 zenon_H128 zenon_H16b zenon_H168. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_L348_); trivial. % 1.30/1.47 apply (zenon_L597_); trivial. % 1.30/1.47 apply (zenon_L668_); trivial. % 1.30/1.47 (* end of lemma zenon_L669_ *) % 1.30/1.47 assert (zenon_L670_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp2)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H46 zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H55 zenon_H56 zenon_H57 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_He9. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ec ]. % 1.30/1.47 apply (zenon_L223_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Haa | zenon_intro zenon_Hea ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.30/1.47 apply (zenon_L568_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.30/1.47 apply (zenon_L26_); trivial. % 1.30/1.47 apply (zenon_L310_); trivial. % 1.30/1.47 exact (zenon_He9 zenon_Hea). % 1.30/1.47 (* end of lemma zenon_L670_ *) % 1.30/1.47 assert (zenon_L671_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H84 zenon_H4d zenon_H1eb zenon_He9 zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H130. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.47 apply (zenon_L653_); trivial. % 1.30/1.47 apply (zenon_L670_); trivial. % 1.30/1.47 (* end of lemma zenon_L671_ *) % 1.30/1.47 assert (zenon_L672_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H88 zenon_H1eb zenon_He9 zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H2a3 zenon_H130 zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H152. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_L658_); trivial. % 1.30/1.47 apply (zenon_L671_); trivial. % 1.30/1.47 (* end of lemma zenon_L672_ *) % 1.30/1.47 assert (zenon_L673_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp2)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H14d zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H253 zenon_H254 zenon_H252 zenon_H227 zenon_H8c zenon_H8b zenon_H8a zenon_H7d zenon_H80 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H210 zenon_He9. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ec ]. % 1.30/1.47 apply (zenon_L223_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_Haa | zenon_intro zenon_Hea ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.30/1.47 apply (zenon_L65_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.30/1.47 apply (zenon_L124_); trivial. % 1.30/1.47 apply (zenon_L246_); trivial. % 1.30/1.47 apply (zenon_L386_); trivial. % 1.30/1.47 exact (zenon_He9 zenon_Hea). % 1.30/1.47 (* end of lemma zenon_L673_ *) % 1.30/1.47 assert (zenon_L674_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H165 zenon_H98 zenon_H189 zenon_H103 zenon_H182 zenon_H185 zenon_H16a zenon_H210 zenon_H227 zenon_H152 zenon_Hc0 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_H130 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_He9 zenon_H1eb zenon_H88 zenon_H2ae zenon_H169 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.47 apply (zenon_L582_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.47 apply (zenon_L672_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.30/1.47 apply (zenon_L651_); trivial. % 1.30/1.47 apply (zenon_L673_); trivial. % 1.30/1.47 apply (zenon_L671_); trivial. % 1.30/1.47 apply (zenon_L662_); trivial. % 1.30/1.47 apply (zenon_L130_); trivial. % 1.30/1.47 (* end of lemma zenon_L674_ *) % 1.30/1.47 assert (zenon_L675_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a451))) -> (~(hskp19)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp24)) -> False). % 1.30/1.47 do 0 intro. intros zenon_Hba zenon_Ha3 zenon_Ha2 zenon_H6e zenon_Hab zenon_H3 zenon_H31 zenon_H10 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H51. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.30/1.47 apply (zenon_L47_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.30/1.47 apply (zenon_L649_); trivial. % 1.30/1.47 exact (zenon_H51 zenon_H52). % 1.30/1.47 (* end of lemma zenon_L675_ *) % 1.30/1.47 assert (zenon_L676_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp24)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp19)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp8)) -> False). % 1.30/1.47 do 0 intro. intros zenon_H80 zenon_Hcd zenon_Hd0 zenon_Hcf zenon_Hdc zenon_H51 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H10 zenon_H31 zenon_H3 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H7d. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.30/1.47 apply (zenon_L72_); trivial. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.30/1.47 apply (zenon_L675_); trivial. % 1.30/1.47 exact (zenon_H7d zenon_H7e). % 1.30/1.47 (* end of lemma zenon_L676_ *) % 1.30/1.47 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H165 zenon_H98 zenon_H189 zenon_H152 zenon_H13e zenon_H103 zenon_H182 zenon_H185 zenon_Heb zenon_H4d zenon_H1eb zenon_He9 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H265 zenon_H231 zenon_H2ae zenon_H24c zenon_H130 zenon_H252 zenon_H254 zenon_H88 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.47 apply (zenon_L582_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.47 apply (zenon_L585_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.47 apply (zenon_L676_); trivial. % 1.30/1.47 apply (zenon_L670_); trivial. % 1.30/1.47 apply (zenon_L671_); trivial. % 1.30/1.47 apply (zenon_L130_); trivial. % 1.30/1.47 (* end of lemma zenon_L677_ *) % 1.30/1.47 assert (zenon_L678_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H1b6 zenon_Heb zenon_Hdc zenon_H231 zenon_H24c zenon_H25b zenon_H2b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H85 zenon_H2ac zenon_H7d zenon_H80 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H62 zenon_H169 zenon_H2ae zenon_H88 zenon_H1eb zenon_He9 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H130 zenon_H4d zenon_H1ce zenon_H267 zenon_H13e zenon_H265 zenon_Hba zenon_Hc0 zenon_H152 zenon_H227 zenon_H210 zenon_H16a zenon_H185 zenon_H182 zenon_H103 zenon_H189 zenon_H98 zenon_H168. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_L348_); trivial. % 1.30/1.47 apply (zenon_L674_); trivial. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.47 apply (zenon_L348_); trivial. % 1.30/1.47 apply (zenon_L677_); trivial. % 1.30/1.47 (* end of lemma zenon_L678_ *) % 1.30/1.47 assert (zenon_L679_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H174 zenon_H176 zenon_H175 zenon_Hba zenon_H253 zenon_H254 zenon_H252 zenon_H210. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.47 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.47 apply (zenon_L414_); trivial. % 1.30/1.47 apply (zenon_L660_); trivial. % 1.30/1.47 (* end of lemma zenon_L679_ *) % 1.30/1.47 assert (zenon_L680_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H174 zenon_H176 zenon_H175 zenon_Hba zenon_H253 zenon_H254 zenon_H252 zenon_H210 zenon_H99 zenon_H9b zenon_H9f. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.47 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.47 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.47 apply (zenon_L45_); trivial. % 1.30/1.47 apply (zenon_L679_); trivial. % 1.30/1.47 (* end of lemma zenon_L680_ *) % 1.30/1.47 assert (zenon_L681_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.30/1.47 do 0 intro. intros zenon_H169 zenon_Hdc zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hec zenon_He9 zenon_H1 zenon_H10 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H9f zenon_H9b zenon_H99 zenon_H210 zenon_H252 zenon_H254 zenon_H253 zenon_Hba zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H88 zenon_Hf1 zenon_H16a. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.47 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.47 apply (zenon_L136_); trivial. % 1.30/1.47 apply (zenon_L680_); trivial. % 1.30/1.47 apply (zenon_L77_); trivial. % 1.30/1.47 (* end of lemma zenon_L681_ *) % 1.30/1.47 assert (zenon_L682_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H189 zenon_H152 zenon_H13e zenon_H103 zenon_H182 zenon_H185 zenon_Heb zenon_H4d zenon_H265 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H80 zenon_H2ac zenon_H85 zenon_H169 zenon_Hdc zenon_H7d zenon_Hec zenon_He9 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H9f zenon_H9b zenon_H210 zenon_H252 zenon_H254 zenon_H253 zenon_Hba zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H88 zenon_Hf1 zenon_H16a zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H1eb zenon_H16b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_L681_); trivial. % 1.30/1.48 apply (zenon_L225_); trivial. % 1.30/1.48 apply (zenon_L677_); trivial. % 1.30/1.48 (* end of lemma zenon_L682_ *) % 1.30/1.48 assert (zenon_L683_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1d0 zenon_Hec zenon_H9f zenon_H9b zenon_Hf1 zenon_H16b zenon_Hff zenon_H14e zenon_H7 zenon_H168 zenon_H98 zenon_H189 zenon_H103 zenon_H182 zenon_H185 zenon_H16a zenon_H210 zenon_H227 zenon_H152 zenon_Hc0 zenon_Hba zenon_H265 zenon_H13e zenon_H267 zenon_H1ce zenon_H4d zenon_H130 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_He9 zenon_H1eb zenon_H88 zenon_H2ae zenon_H169 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H24c zenon_H231 zenon_Hdc zenon_Heb zenon_H1b6. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.48 apply (zenon_L678_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L111_); trivial. % 1.30/1.48 apply (zenon_L674_); trivial. % 1.30/1.48 apply (zenon_L682_); trivial. % 1.30/1.48 (* end of lemma zenon_L683_ *) % 1.30/1.48 assert (zenon_L684_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H189 zenon_H185 zenon_H182 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H1 zenon_H5 zenon_H7. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.48 apply (zenon_L4_); trivial. % 1.30/1.48 apply (zenon_L423_); trivial. % 1.30/1.48 (* end of lemma zenon_L684_ *) % 1.30/1.48 assert (zenon_L685_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H189 zenon_H152 zenon_H13e zenon_H103 zenon_H182 zenon_H185 zenon_Heb zenon_H4d zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_Hdc zenon_Hba zenon_H265 zenon_H231 zenon_H2ae zenon_H24c zenon_H130 zenon_H252 zenon_H254 zenon_H88 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L209_); trivial. % 1.30/1.48 apply (zenon_L677_); trivial. % 1.30/1.48 (* end of lemma zenon_L685_ *) % 1.30/1.48 assert (zenon_L686_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1de zenon_H168 zenon_H98 zenon_Heb zenon_H130 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L209_); trivial. % 1.30/1.48 apply (zenon_L613_); trivial. % 1.30/1.48 (* end of lemma zenon_L686_ *) % 1.30/1.48 assert (zenon_L687_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H168 zenon_H98 zenon_H103 zenon_H16a zenon_H210 zenon_H227 zenon_H152 zenon_Hc0 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H1ce zenon_H4d zenon_H130 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_He9 zenon_H1eb zenon_H88 zenon_H2ae zenon_H169 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_H7 zenon_H185 zenon_H189 zenon_Hec zenon_H24c zenon_H231 zenon_Hdc zenon_Heb zenon_H1b6. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L684_); trivial. % 1.30/1.48 apply (zenon_L674_); trivial. % 1.30/1.48 apply (zenon_L685_); trivial. % 1.30/1.48 apply (zenon_L686_); trivial. % 1.30/1.48 (* end of lemma zenon_L687_ *) % 1.30/1.48 assert (zenon_L688_ : ((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H212 zenon_H1f2 zenon_H1d0 zenon_Hec zenon_H9f zenon_Hf1 zenon_H16b zenon_Hff zenon_H14e zenon_H7 zenon_H168 zenon_H98 zenon_H189 zenon_H103 zenon_H185 zenon_H16a zenon_H210 zenon_H227 zenon_H152 zenon_Hc0 zenon_Hba zenon_H265 zenon_H13e zenon_H267 zenon_H1ce zenon_H4d zenon_H130 zenon_He9 zenon_H1eb zenon_H88 zenon_H2ae zenon_H169 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H24c zenon_H231 zenon_Hdc zenon_Heb zenon_H1b6 zenon_H128 zenon_H126 zenon_He7 zenon_H1a7 zenon_H1dd. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_L683_); trivial. % 1.30/1.48 apply (zenon_L669_); trivial. % 1.30/1.48 apply (zenon_L687_); trivial. % 1.30/1.48 (* end of lemma zenon_L688_ *) % 1.30/1.48 assert (zenon_L689_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2ac zenon_H85 zenon_H169 zenon_Hdc zenon_H7d zenon_Hec zenon_He9 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H9f zenon_H9b zenon_H210 zenon_H252 zenon_H254 zenon_H253 zenon_Hba zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H88 zenon_Hf1 zenon_H16a zenon_H227 zenon_H142 zenon_H19b zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H80 zenon_Hc7 zenon_H163 zenon_Heb zenon_H16b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_L681_); trivial. % 1.30/1.48 apply (zenon_L625_); trivial. % 1.30/1.48 apply (zenon_L626_); trivial. % 1.30/1.48 (* end of lemma zenon_L689_ *) % 1.30/1.48 assert (zenon_L690_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.30/1.48 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_He7 zenon_H99 zenon_H9b zenon_H9f. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L45_); trivial. % 1.30/1.48 apply (zenon_L596_); trivial. % 1.30/1.48 (* end of lemma zenon_L690_ *) % 1.30/1.48 assert (zenon_L691_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.30/1.48 do 0 intro. intros zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H10 zenon_H1b2. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.30/1.48 apply (zenon_L275_); trivial. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.30/1.48 apply (zenon_L184_); trivial. % 1.30/1.48 exact (zenon_H1b2 zenon_H1b3). % 1.30/1.48 (* end of lemma zenon_L691_ *) % 1.30/1.48 assert (zenon_L692_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L691_); trivial. % 1.30/1.48 apply (zenon_L593_); trivial. % 1.30/1.48 (* end of lemma zenon_L692_ *) % 1.30/1.48 assert (zenon_L693_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H165 zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1b2 zenon_H22b zenon_H9f zenon_H9b zenon_He7 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_L690_); trivial. % 1.30/1.48 apply (zenon_L692_); trivial. % 1.30/1.48 (* end of lemma zenon_L693_ *) % 1.30/1.48 assert (zenon_L694_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H168 zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1b2 zenon_H22b zenon_H9f zenon_H9b zenon_He7 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L348_); trivial. % 1.30/1.48 apply (zenon_L693_); trivial. % 1.30/1.48 (* end of lemma zenon_L694_ *) % 1.30/1.48 assert (zenon_L695_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H16e zenon_H88 zenon_H210 zenon_H252 zenon_H254 zenon_H175 zenon_H176 zenon_H174 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1ad zenon_Hdc zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Heb. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.48 apply (zenon_L70_); trivial. % 1.30/1.48 apply (zenon_L631_); trivial. % 1.30/1.48 apply (zenon_L660_); trivial. % 1.30/1.48 (* end of lemma zenon_L695_ *) % 1.30/1.48 assert (zenon_L696_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H16a zenon_H88 zenon_H210 zenon_H252 zenon_H254 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1ad zenon_Hdc zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Heb zenon_Hc0 zenon_Hbc zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_H1 zenon_He9 zenon_Hec. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.48 apply (zenon_L136_); trivial. % 1.30/1.48 apply (zenon_L695_); trivial. % 1.30/1.48 (* end of lemma zenon_L696_ *) % 1.30/1.48 assert (zenon_L697_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> (ndr1_0) -> (c1_1 (a450)) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c3_1 (a450)) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1a7 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H10a zenon_H109 zenon_H108 zenon_H10 zenon_H176 zenon_H89 zenon_H175. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.30/1.48 apply (zenon_L172_); trivial. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.30/1.48 apply (zenon_L76_); trivial. % 1.30/1.48 apply (zenon_L137_); trivial. % 1.30/1.48 (* end of lemma zenon_L697_ *) % 1.30/1.48 assert (zenon_L698_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1a7 zenon_H175 zenon_H176 zenon_H10a zenon_H109 zenon_H108 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H2ae. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.30/1.48 apply (zenon_L568_); trivial. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.30/1.48 apply (zenon_L697_); trivial. % 1.30/1.48 apply (zenon_L76_); trivial. % 1.30/1.48 apply (zenon_L592_); trivial. % 1.30/1.48 (* end of lemma zenon_L698_ *) % 1.30/1.48 assert (zenon_L699_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1b2 zenon_H22b zenon_H9f zenon_H9b zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_L609_); trivial. % 1.30/1.48 apply (zenon_L692_); trivial. % 1.30/1.48 (* end of lemma zenon_L699_ *) % 1.30/1.48 assert (zenon_L700_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H1b4 zenon_H175 zenon_H176 zenon_H174 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H9b zenon_H9f zenon_H22b zenon_H1b2 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H16b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L699_); trivial. % 1.30/1.48 apply (zenon_L168_); trivial. % 1.30/1.48 (* end of lemma zenon_L700_ *) % 1.30/1.48 assert (zenon_L701_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b6 zenon_H1b4 zenon_H1ca zenon_H7 zenon_H16a zenon_H210 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_H33 zenon_H1ad zenon_Hdc zenon_Heb zenon_Hc0 zenon_He9 zenon_Hec zenon_H2ae zenon_H1a7 zenon_H169 zenon_H189 zenon_H85 zenon_H2ac zenon_H80 zenon_H62 zenon_H24c zenon_H231 zenon_H98 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_He7 zenon_H9b zenon_H9f zenon_H22b zenon_H1b2 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H16b zenon_H168. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.48 apply (zenon_L694_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.48 apply (zenon_L4_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.48 apply (zenon_L696_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L45_); trivial. % 1.30/1.48 apply (zenon_L698_); trivial. % 1.30/1.48 apply (zenon_L692_); trivial. % 1.30/1.48 apply (zenon_L613_); trivial. % 1.30/1.48 apply (zenon_L700_); trivial. % 1.30/1.48 (* end of lemma zenon_L701_ *) % 1.30/1.48 assert (zenon_L702_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_Heb zenon_H163 zenon_H142 zenon_Hdc zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L209_); trivial. % 1.30/1.48 apply (zenon_L626_); trivial. % 1.30/1.48 (* end of lemma zenon_L702_ *) % 1.30/1.48 assert (zenon_L703_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H168 zenon_H98 zenon_H103 zenon_H152 zenon_H19b zenon_H142 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H1ce zenon_H4d zenon_H130 zenon_H88 zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_H7 zenon_H185 zenon_H189 zenon_Hec zenon_He9 zenon_H24c zenon_H2ae zenon_H231 zenon_Hdc zenon_H163 zenon_Heb zenon_H1b6. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L684_); trivial. % 1.30/1.48 apply (zenon_L656_); trivial. % 1.30/1.48 apply (zenon_L702_); trivial. % 1.30/1.48 apply (zenon_L686_); trivial. % 1.30/1.48 (* end of lemma zenon_L703_ *) % 1.30/1.48 assert (zenon_L704_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp11)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp10)) -> False). % 1.30/1.48 do 0 intro. intros zenon_H46 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H182 zenon_H12 zenon_H13 zenon_H14 zenon_Hb1 zenon_Hb3 zenon_H185 zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_H9b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.30/1.48 apply (zenon_L568_); trivial. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.30/1.48 apply (zenon_L571_); trivial. % 1.30/1.48 apply (zenon_L499_); trivial. % 1.30/1.48 (* end of lemma zenon_L704_ *) % 1.30/1.48 assert (zenon_L705_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.30/1.48 do 0 intro. intros zenon_Hf2 zenon_H4d zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H182 zenon_H185. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.48 apply (zenon_L570_); trivial. % 1.30/1.48 apply (zenon_L704_); trivial. % 1.30/1.48 (* end of lemma zenon_L705_ *) % 1.30/1.48 assert (zenon_L706_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H132 zenon_H189 zenon_H50 zenon_Hf1 zenon_H4d zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H182 zenon_H185 zenon_H1c8 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.48 apply (zenon_L4_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.48 apply (zenon_L7_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L175_); trivial. % 1.30/1.48 apply (zenon_L705_); trivial. % 1.30/1.48 (* end of lemma zenon_L706_ *) % 1.30/1.48 assert (zenon_L707_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H152 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H1 zenon_He9 zenon_Hec. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.30/1.48 apply (zenon_L193_); trivial. % 1.30/1.48 apply (zenon_L244_); trivial. % 1.30/1.48 (* end of lemma zenon_L707_ *) % 1.30/1.48 assert (zenon_L708_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H95 zenon_H169 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H152 zenon_Hc0 zenon_H13e zenon_H1 zenon_He9 zenon_Hec zenon_Heb zenon_Hdc zenon_H9 zenon_H93 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H88 zenon_H16a. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.48 apply (zenon_L707_); trivial. % 1.30/1.48 apply (zenon_L163_); trivial. % 1.30/1.48 apply (zenon_L662_); trivial. % 1.30/1.48 (* end of lemma zenon_L708_ *) % 1.30/1.48 assert (zenon_L709_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H1b6 zenon_H169 zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_Hc0 zenon_H1ad zenon_H1a3 zenon_H101 zenon_Hff zenon_Hc7 zenon_H103 zenon_Hdc zenon_H88 zenon_H16a zenon_Hec zenon_He9 zenon_H13e zenon_H152 zenon_H16b zenon_H1c8 zenon_H7 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_H185 zenon_H182 zenon_H47 zenon_H218 zenon_H216 zenon_H217 zenon_H227 zenon_H4d zenon_Hf1 zenon_H50 zenon_H189 zenon_H85 zenon_H7d zenon_H80 zenon_H62 zenon_H24c zenon_H2ae zenon_H231 zenon_H93 zenon_Heb zenon_H98 zenon_H168. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_L623_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.48 apply (zenon_L512_); trivial. % 1.30/1.48 apply (zenon_L708_); trivial. % 1.30/1.48 apply (zenon_L588_); trivial. % 1.30/1.48 (* end of lemma zenon_L709_ *) % 1.30/1.48 assert (zenon_L710_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_Hba zenon_H253 zenon_H174 zenon_H176 zenon_H175 zenon_H128 zenon_H126 zenon_H254 zenon_H252 zenon_H210. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L391_); trivial. % 1.30/1.48 apply (zenon_L679_); trivial. % 1.30/1.48 (* end of lemma zenon_L710_ *) % 1.30/1.48 assert (zenon_L711_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H168 zenon_H98 zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H80 zenon_H7d zenon_H2ac zenon_H85 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_L348_); trivial. % 1.30/1.48 apply (zenon_L613_); trivial. % 1.30/1.48 (* end of lemma zenon_L711_ *) % 1.30/1.48 assert (zenon_L712_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H189 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1a3 zenon_H60 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1ad zenon_Heb zenon_H1 zenon_H5 zenon_H7. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.48 apply (zenon_L4_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.48 apply (zenon_L505_); trivial. % 1.30/1.48 apply (zenon_L592_); trivial. % 1.30/1.48 (* end of lemma zenon_L712_ *) % 1.30/1.48 assert (zenon_L713_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_H7d zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.30/1.48 apply (zenon_L446_); trivial. % 1.30/1.48 apply (zenon_L129_); trivial. % 1.30/1.48 (* end of lemma zenon_L713_ *) % 1.30/1.48 assert (zenon_L714_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H4d zenon_H1ca zenon_H176 zenon_H175 zenon_H174 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_He9 zenon_Hec zenon_H99 zenon_H9b zenon_H9f zenon_H1 zenon_H5 zenon_H7. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.48 apply (zenon_L4_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L45_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.48 apply (zenon_L188_); trivial. % 1.30/1.48 apply (zenon_L713_); trivial. % 1.30/1.48 (* end of lemma zenon_L714_ *) % 1.30/1.48 assert (zenon_L715_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H5 zenon_H1ce zenon_H4d zenon_H1ad zenon_H267 zenon_H218 zenon_H217 zenon_H216 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hba zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.48 apply (zenon_L454_); trivial. % 1.30/1.48 apply (zenon_L655_); trivial. % 1.30/1.48 (* end of lemma zenon_L715_ *) % 1.30/1.48 assert (zenon_L716_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H5 zenon_H1ce zenon_H4d zenon_H1ad zenon_H267 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hba zenon_H80 zenon_H152 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H19b zenon_H142 zenon_H7d zenon_H227. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L277_); trivial. % 1.30/1.48 apply (zenon_L715_); trivial. % 1.30/1.48 (* end of lemma zenon_L716_ *) % 1.30/1.48 assert (zenon_L717_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H95 zenon_H16b zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H7 zenon_H5 zenon_H1 zenon_H9f zenon_H9b zenon_Hec zenon_He9 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H174 zenon_H175 zenon_H176 zenon_H1ca zenon_H4d zenon_H1ce zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H13e zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7d zenon_H80 zenon_H152 zenon_H88 zenon_Hf1 zenon_H189. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_L714_); trivial. % 1.30/1.48 apply (zenon_L225_); trivial. % 1.30/1.48 (* end of lemma zenon_L717_ *) % 1.30/1.48 assert (zenon_L718_ : ((~(hskp5))\/((ndr1_0)/\((c0_1 (a441))/\((~(c2_1 (a441)))/\(~(c3_1 (a441))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a443))/\((~(c1_1 (a443)))/\(~(c2_1 (a443))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp8)\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a442))/\((c2_1 (a442))/\(~(c3_1 (a442))))))) -> False). % 1.30/1.48 do 0 intro. intros zenon_H2b7 zenon_H285 zenon_H277 zenon_H19b zenon_H227 zenon_H29e zenon_H1a3 zenon_H297 zenon_H28b zenon_H1ad zenon_H13e zenon_H152 zenon_H215 zenon_H1eb zenon_H1dd zenon_H1ca zenon_H128 zenon_He7 zenon_H168 zenon_H98 zenon_Heb zenon_H93 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H189 zenon_H50 zenon_Hf1 zenon_H4d zenon_H47 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H185 zenon_H9f zenon_Hd zenon_H7 zenon_H1c8 zenon_Hba zenon_H1ce zenon_H130 zenon_Hff zenon_H124 zenon_H80 zenon_H85 zenon_H88 zenon_H16b zenon_H16a zenon_H103 zenon_H101 zenon_Hc0 zenon_Hc7 zenon_Hdc zenon_H163 zenon_H169 zenon_H1b6 zenon_Hec zenon_He9 zenon_H1f2 zenon_H24d zenon_H1a7 zenon_H25b zenon_H267 zenon_H265 zenon_H210 zenon_H14e zenon_H1d0 zenon_H1b4 zenon_H22b zenon_H29f. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2b8 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.48 apply (zenon_L4_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.48 apply (zenon_L7_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L45_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.48 apply (zenon_L570_); trivial. % 1.30/1.48 apply (zenon_L572_); trivial. % 1.30/1.48 apply (zenon_L579_); trivial. % 1.30/1.48 apply (zenon_L588_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.48 apply (zenon_L148_); trivial. % 1.30/1.48 apply (zenon_L589_); trivial. % 1.30/1.48 apply (zenon_L591_); trivial. % 1.30/1.48 apply (zenon_L77_); trivial. % 1.30/1.48 apply (zenon_L602_); trivial. % 1.30/1.48 apply (zenon_L603_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_L608_); trivial. % 1.30/1.48 apply (zenon_L615_); trivial. % 1.30/1.48 apply (zenon_L603_); trivial. % 1.30/1.48 apply (zenon_L616_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_L623_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.48 apply (zenon_L64_); trivial. % 1.30/1.48 apply (zenon_L591_); trivial. % 1.30/1.48 apply (zenon_L77_); trivial. % 1.30/1.48 apply (zenon_L625_); trivial. % 1.30/1.48 apply (zenon_L626_); trivial. % 1.30/1.48 apply (zenon_L646_); trivial. % 1.30/1.48 apply (zenon_L603_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_L608_); trivial. % 1.30/1.48 apply (zenon_L647_); trivial. % 1.30/1.48 apply (zenon_L603_); trivial. % 1.30/1.48 apply (zenon_L616_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.48 apply (zenon_L657_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_L664_); trivial. % 1.30/1.48 apply (zenon_L665_); trivial. % 1.30/1.48 apply (zenon_L669_); trivial. % 1.30/1.48 apply (zenon_L688_); trivial. % 1.30/1.48 apply (zenon_L616_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.48 apply (zenon_L657_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_L664_); trivial. % 1.30/1.48 apply (zenon_L689_); trivial. % 1.30/1.48 apply (zenon_L701_); trivial. % 1.30/1.48 apply (zenon_L703_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_L683_); trivial. % 1.30/1.48 apply (zenon_L701_); trivial. % 1.30/1.48 apply (zenon_L687_); trivial. % 1.30/1.48 apply (zenon_L616_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H10. zenon_intro zenon_H2b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H27e. zenon_intro zenon_H2ba. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H27c. zenon_intro zenon_H27d. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.48 apply (zenon_L4_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.48 apply (zenon_L7_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.48 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.48 apply (zenon_L45_); trivial. % 1.30/1.48 apply (zenon_L705_); trivial. % 1.30/1.48 apply (zenon_L706_); trivial. % 1.30/1.48 apply (zenon_L588_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.48 apply (zenon_L483_); trivial. % 1.30/1.48 apply (zenon_L591_); trivial. % 1.30/1.48 apply (zenon_L77_); trivial. % 1.30/1.48 apply (zenon_L602_); trivial. % 1.30/1.48 apply (zenon_L603_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_L606_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.48 apply (zenon_L491_); trivial. % 1.30/1.48 apply (zenon_L225_); trivial. % 1.30/1.48 apply (zenon_L615_); trivial. % 1.30/1.48 apply (zenon_L603_); trivial. % 1.30/1.48 apply (zenon_L616_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_L709_); trivial. % 1.30/1.48 apply (zenon_L646_); trivial. % 1.30/1.48 apply (zenon_L603_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_L709_); trivial. % 1.30/1.48 apply (zenon_L647_); trivial. % 1.30/1.48 apply (zenon_L603_); trivial. % 1.30/1.48 apply (zenon_L616_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.48 apply (zenon_L657_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_L664_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.48 apply (zenon_L483_); trivial. % 1.30/1.48 apply (zenon_L710_); trivial. % 1.30/1.48 apply (zenon_L77_); trivial. % 1.30/1.48 apply (zenon_L669_); trivial. % 1.30/1.48 apply (zenon_L703_); trivial. % 1.30/1.48 apply (zenon_L688_); trivial. % 1.30/1.48 apply (zenon_L616_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.48 apply (zenon_L657_); trivial. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.49 apply (zenon_L509_); trivial. % 1.30/1.49 apply (zenon_L663_); trivial. % 1.30/1.49 apply (zenon_L689_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.49 apply (zenon_L711_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.49 apply (zenon_L712_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.49 apply (zenon_L714_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.49 apply (zenon_L716_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.49 apply (zenon_L696_); trivial. % 1.30/1.49 apply (zenon_L662_); trivial. % 1.30/1.49 apply (zenon_L613_); trivial. % 1.30/1.49 apply (zenon_L645_); trivial. % 1.30/1.49 apply (zenon_L703_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.49 apply (zenon_L678_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.49 apply (zenon_L509_); trivial. % 1.30/1.49 apply (zenon_L674_); trivial. % 1.30/1.49 apply (zenon_L682_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.30/1.49 apply (zenon_L711_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.49 apply (zenon_L712_); trivial. % 1.30/1.49 apply (zenon_L717_); trivial. % 1.30/1.49 apply (zenon_L613_); trivial. % 1.30/1.49 apply (zenon_L614_); trivial. % 1.30/1.49 apply (zenon_L687_); trivial. % 1.30/1.49 apply (zenon_L616_); trivial. % 1.30/1.49 (* end of lemma zenon_L718_ *) % 1.30/1.49 assert (zenon_L719_ : (forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28)))))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H1fe zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd. % 1.30/1.49 generalize (zenon_H1fe (a434)). zenon_intro zenon_H2be. % 1.30/1.49 apply (zenon_imply_s _ _ zenon_H2be); [ zenon_intro zenon_Hf | zenon_intro zenon_H2bf ]. % 1.30/1.49 exact (zenon_Hf zenon_H10). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c0 ]. % 1.30/1.49 exact (zenon_H2bb zenon_H2c1). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c2 ]. % 1.30/1.49 exact (zenon_H2bc zenon_H2c3). % 1.30/1.49 exact (zenon_H2c2 zenon_H2bd). % 1.30/1.49 (* end of lemma zenon_L719_ *) % 1.30/1.49 assert (zenon_L720_ : (forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98)))))) -> (ndr1_0) -> (c0_1 (a437)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (c3_1 (a437)) -> (c2_1 (a437)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H233 zenon_H10 zenon_H37 zenon_H35 zenon_H38 zenon_H4a. % 1.30/1.49 generalize (zenon_H233 (a437)). zenon_intro zenon_H2c4. % 1.30/1.49 apply (zenon_imply_s _ _ zenon_H2c4); [ zenon_intro zenon_Hf | zenon_intro zenon_H2c5 ]. % 1.30/1.49 exact (zenon_Hf zenon_H10). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H3e | zenon_intro zenon_H2c6 ]. % 1.30/1.49 exact (zenon_H3e zenon_H37). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H36 | zenon_intro zenon_H1ac ]. % 1.30/1.49 apply (zenon_L17_); trivial. % 1.30/1.49 exact (zenon_H1ac zenon_H4a). % 1.30/1.49 (* end of lemma zenon_L720_ *) % 1.30/1.49 assert (zenon_L721_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a437)) -> (ndr1_0) -> (c0_1 (a437)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (c3_1 (a437)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H4a zenon_H10 zenon_H37 zenon_H35 zenon_H38. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.30/1.49 apply (zenon_L720_); trivial. % 1.30/1.49 apply (zenon_L18_); trivial. % 1.30/1.49 (* end of lemma zenon_L721_ *) % 1.30/1.49 assert (zenon_L722_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H46 zenon_H47 zenon_H14 zenon_H13 zenon_H12 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H26 zenon_H1c zenon_H1e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.30/1.49 apply (zenon_L9_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.30/1.49 apply (zenon_L721_); trivial. % 1.30/1.49 apply (zenon_L20_); trivial. % 1.30/1.49 (* end of lemma zenon_L722_ *) % 1.30/1.49 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H4c zenon_H4d zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H12 zenon_H13 zenon_H14 zenon_H2f zenon_H2d zenon_H2b zenon_H33. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.49 apply (zenon_L16_); trivial. % 1.30/1.49 apply (zenon_L722_); trivial. % 1.30/1.49 (* end of lemma zenon_L723_ *) % 1.30/1.49 assert (zenon_L724_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp3)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H165 zenon_H202 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ee ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.30/1.49 apply (zenon_L26_); trivial. % 1.30/1.49 exact (zenon_H2d zenon_H2e). % 1.30/1.49 (* end of lemma zenon_L724_ *) % 1.30/1.49 assert (zenon_L725_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H168 zenon_H202 zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H2b zenon_H2d zenon_H2f zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H4d zenon_H50 zenon_H189. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.49 apply (zenon_L4_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_L7_); trivial. % 1.30/1.49 apply (zenon_L723_); trivial. % 1.30/1.49 apply (zenon_L724_); trivial. % 1.30/1.49 (* end of lemma zenon_L725_ *) % 1.30/1.49 assert (zenon_L726_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp8)) -> (~(hskp26)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(hskp20)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H271 zenon_H7d zenon_Hc5 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc7 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hb. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H6e | zenon_intro zenon_H272 ]. % 1.30/1.49 apply (zenon_L55_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hc ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 exact (zenon_Hb zenon_Hc). % 1.30/1.49 (* end of lemma zenon_L726_ *) % 1.30/1.49 assert (zenon_L727_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Heb zenon_H80 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.49 apply (zenon_L726_); trivial. % 1.30/1.49 apply (zenon_L73_); trivial. % 1.30/1.49 (* end of lemma zenon_L727_ *) % 1.30/1.49 assert (zenon_L728_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H84 zenon_Heb zenon_H26f zenon_H2b zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hdc zenon_Hb1 zenon_Hb3 zenon_H99 zenon_He7 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.49 apply (zenon_L56_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_Hde | zenon_intro zenon_H270 ]. % 1.30/1.49 apply (zenon_L61_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2c ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 exact (zenon_H2b zenon_H2c). % 1.30/1.49 (* end of lemma zenon_L728_ *) % 1.30/1.49 assert (zenon_L729_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_Heb zenon_H26f zenon_H2b zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hdc zenon_He7 zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H99 zenon_H9b zenon_H9f. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L45_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_L52_); trivial. % 1.30/1.49 apply (zenon_L728_); trivial. % 1.30/1.49 (* end of lemma zenon_L729_ *) % 1.30/1.49 assert (zenon_L730_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H84 zenon_Heb zenon_H185 zenon_H182 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_Hdc zenon_Hb1 zenon_Hb3 zenon_H99 zenon_He7 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.49 apply (zenon_L56_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_L61_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L116_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 (* end of lemma zenon_L730_ *) % 1.30/1.49 assert (zenon_L731_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_He7 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hff zenon_H101 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H80 zenon_Heb zenon_H99 zenon_H9b zenon_H9f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L45_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_L74_); trivial. % 1.30/1.49 apply (zenon_L730_); trivial. % 1.30/1.49 (* end of lemma zenon_L731_ *) % 1.30/1.49 assert (zenon_L732_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H50 zenon_H169 zenon_Hc0 zenon_H101 zenon_Hff zenon_H103 zenon_H4d zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H16a zenon_H9f zenon_H9b zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_He7 zenon_H2b zenon_H26f zenon_H88 zenon_Hf1. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L45_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_L727_); trivial. % 1.30/1.49 apply (zenon_L728_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.49 apply (zenon_L729_); trivial. % 1.30/1.49 apply (zenon_L731_); trivial. % 1.30/1.49 apply (zenon_L77_); trivial. % 1.30/1.49 (* end of lemma zenon_L732_ *) % 1.30/1.49 assert (zenon_L733_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H84 zenon_Heb zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_Hdc zenon_Hb1 zenon_Hb3 zenon_H99 zenon_He7 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.49 apply (zenon_L56_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_L61_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L9_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 (* end of lemma zenon_L733_ *) % 1.30/1.49 assert (zenon_L734_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_He7 zenon_H271 zenon_Hb zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_Hba zenon_H80 zenon_Heb zenon_H99 zenon_H9b zenon_H9f. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L45_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_L727_); trivial. % 1.30/1.49 apply (zenon_L733_); trivial. % 1.30/1.49 (* end of lemma zenon_L734_ *) % 1.30/1.49 assert (zenon_L735_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H47 zenon_H245 zenon_H2f zenon_H2d zenon_H2b zenon_H33 zenon_H9f zenon_H9b zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_He7 zenon_H182 zenon_H185 zenon_H88 zenon_Hf1. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_L734_); trivial. % 1.30/1.49 apply (zenon_L723_); trivial. % 1.30/1.49 (* end of lemma zenon_L735_ *) % 1.30/1.49 assert (zenon_L736_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_H6e zenon_H70 zenon_H71 zenon_H78. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.30/1.49 generalize (zenon_H233 (a447)). zenon_intro zenon_H2c7. % 1.30/1.49 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_Hf | zenon_intro zenon_H2c8 ]. % 1.30/1.49 exact (zenon_Hf zenon_H10). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H6f | zenon_intro zenon_H18c ]. % 1.30/1.49 apply (zenon_L31_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H7c | zenon_intro zenon_H77 ]. % 1.30/1.49 exact (zenon_H7c zenon_H78). % 1.30/1.49 exact (zenon_H77 zenon_H70). % 1.30/1.49 apply (zenon_L32_); trivial. % 1.30/1.49 (* end of lemma zenon_L736_ *) % 1.30/1.49 assert (zenon_L737_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp20)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H7f zenon_H271 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hb. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H6e | zenon_intro zenon_H272 ]. % 1.30/1.49 apply (zenon_L736_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hc ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 exact (zenon_Hb zenon_Hc). % 1.30/1.49 (* end of lemma zenon_L737_ *) % 1.30/1.49 assert (zenon_L738_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H271 zenon_Hb zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_L84_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.30/1.49 apply (zenon_L87_); trivial. % 1.30/1.49 apply (zenon_L737_); trivial. % 1.30/1.49 (* end of lemma zenon_L738_ *) % 1.30/1.49 assert (zenon_L739_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H62 zenon_H60 zenon_H130 zenon_Hba zenon_H128 zenon_H126 zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_Hff zenon_H124 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hb zenon_H271 zenon_H85. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.30/1.49 apply (zenon_L82_); trivial. % 1.30/1.49 apply (zenon_L737_); trivial. % 1.30/1.49 apply (zenon_L738_); trivial. % 1.30/1.49 (* end of lemma zenon_L739_ *) % 1.30/1.49 assert (zenon_L740_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp21)) -> (~(hskp22)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H7f zenon_Hc0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_Hbc zenon_Hbe. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H6e | zenon_intro zenon_Hc1 ]. % 1.30/1.49 apply (zenon_L736_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbf ]. % 1.30/1.49 exact (zenon_Hbc zenon_Hbd). % 1.30/1.49 exact (zenon_Hbe zenon_Hbf). % 1.30/1.49 (* end of lemma zenon_L740_ *) % 1.30/1.49 assert (zenon_L741_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_L84_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.30/1.49 apply (zenon_L87_); trivial. % 1.30/1.49 apply (zenon_L740_); trivial. % 1.30/1.49 (* end of lemma zenon_L741_ *) % 1.30/1.49 assert (zenon_L742_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H85 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_H26 zenon_H1c zenon_H1e zenon_H1c8. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L175_); trivial. % 1.30/1.49 apply (zenon_L741_); trivial. % 1.30/1.49 (* end of lemma zenon_L742_ *) % 1.30/1.49 assert (zenon_L743_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H7f zenon_H80 zenon_H67 zenon_H66 zenon_H65 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H7d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.30/1.49 apply (zenon_L30_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.30/1.49 apply (zenon_L736_); trivial. % 1.30/1.49 exact (zenon_H7d zenon_H7e). % 1.30/1.49 (* end of lemma zenon_L743_ *) % 1.30/1.49 assert (zenon_L744_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H132 zenon_H50 zenon_H169 zenon_Hc0 zenon_H1c8 zenon_Heb zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H101 zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H16a zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_Hba zenon_H130 zenon_H60 zenon_H62 zenon_H88 zenon_Hf1. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_L739_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.49 apply (zenon_L742_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L175_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_L74_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.30/1.49 apply (zenon_L87_); trivial. % 1.30/1.49 apply (zenon_L743_); trivial. % 1.30/1.49 apply (zenon_L77_); trivial. % 1.30/1.49 (* end of lemma zenon_L744_ *) % 1.30/1.49 assert (zenon_L745_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Heb zenon_Hdc zenon_H8a zenon_H8b zenon_H8c zenon_H9 zenon_H93 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.49 apply (zenon_L726_); trivial. % 1.30/1.49 apply (zenon_L162_); trivial. % 1.30/1.49 (* end of lemma zenon_L745_ *) % 1.30/1.49 assert (zenon_L746_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a456)) -> (c1_1 (a456)) -> (c0_1 (a456)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H236 zenon_H235 zenon_H234 zenon_H10 zenon_Hde zenon_H8a zenon_H8b zenon_H8c. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.30/1.49 apply (zenon_L336_); trivial. % 1.30/1.49 apply (zenon_L91_); trivial. % 1.30/1.49 (* end of lemma zenon_L746_ *) % 1.30/1.49 assert (zenon_L747_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a456)) -> (c1_1 (a456)) -> (c0_1 (a456)) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H236 zenon_H235 zenon_H234 zenon_H11 zenon_H10 zenon_H1c zenon_H1e zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.30/1.49 apply (zenon_L336_); trivial. % 1.30/1.49 apply (zenon_L115_); trivial. % 1.30/1.49 (* end of lemma zenon_L747_ *) % 1.30/1.49 assert (zenon_L748_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp11)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H247 zenon_H185 zenon_H8c zenon_H8b zenon_H8a zenon_H26 zenon_H1e zenon_H1c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H182. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_L746_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L747_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 (* end of lemma zenon_L748_ *) % 1.30/1.49 assert (zenon_L749_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H4c zenon_Heb zenon_Hdc zenon_H7d zenon_H9 zenon_H93 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H182 zenon_H185 zenon_H24c. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.30/1.49 apply (zenon_L335_); trivial. % 1.30/1.49 apply (zenon_L748_); trivial. % 1.30/1.49 apply (zenon_L162_); trivial. % 1.30/1.49 (* end of lemma zenon_L749_ *) % 1.30/1.49 assert (zenon_L750_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H95 zenon_H50 zenon_H231 zenon_H245 zenon_H182 zenon_H185 zenon_H24c zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H93 zenon_H9 zenon_Hdc zenon_Heb. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_L745_); trivial. % 1.30/1.49 apply (zenon_L749_); trivial. % 1.30/1.49 (* end of lemma zenon_L750_ *) % 1.30/1.49 assert (zenon_L751_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp20)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H185 zenon_Hb zenon_H2bb zenon_H2bc zenon_H2bd zenon_H174 zenon_H175 zenon_H176 zenon_H271 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H182. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H6e | zenon_intro zenon_H272 ]. % 1.30/1.49 apply (zenon_L107_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hc ]. % 1.30/1.49 apply (zenon_L719_); trivial. % 1.30/1.49 exact (zenon_Hb zenon_Hc). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L9_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 (* end of lemma zenon_L751_ *) % 1.30/1.49 assert (zenon_L752_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp16)) -> (~(hskp29)) -> (~(c3_1 (a484))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H2ac zenon_H60 zenon_H5e zenon_Hb2 zenon_H62 zenon_Hb3 zenon_Hde zenon_Hb1 zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H26 zenon_H1e zenon_H1c zenon_H10 zenon_H31. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.30/1.49 apply (zenon_L86_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.30/1.49 apply (zenon_L60_); trivial. % 1.30/1.49 apply (zenon_L436_); trivial. % 1.30/1.49 (* end of lemma zenon_L752_ *) % 1.30/1.49 assert (zenon_L753_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H7f zenon_H185 zenon_H7d zenon_H51 zenon_H80 zenon_H176 zenon_H175 zenon_H174 zenon_H103 zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_L114_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L9_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 (* end of lemma zenon_L753_ *) % 1.30/1.49 assert (zenon_L754_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H85 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H51 zenon_H103 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H31 zenon_H33 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H60 zenon_H62 zenon_H182 zenon_H185. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_L752_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L9_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 apply (zenon_L753_); trivial. % 1.30/1.49 (* end of lemma zenon_L754_ *) % 1.30/1.49 assert (zenon_L755_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H184 zenon_H50 zenon_Hf1 zenon_H88 zenon_H85 zenon_H80 zenon_H7d zenon_H103 zenon_H2ac zenon_H33 zenon_H60 zenon_H62 zenon_H245 zenon_H47 zenon_H4d zenon_H99 zenon_H9b zenon_H9f zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_L751_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L45_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.49 apply (zenon_L754_); trivial. % 1.30/1.49 apply (zenon_L722_); trivial. % 1.30/1.49 apply (zenon_L506_); trivial. % 1.30/1.49 (* end of lemma zenon_L755_ *) % 1.30/1.49 assert (zenon_L756_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_L84_); trivial. % 1.30/1.49 apply (zenon_L506_); trivial. % 1.30/1.49 (* end of lemma zenon_L756_ *) % 1.30/1.49 assert (zenon_L757_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> (~(hskp15)) -> (~(hskp11)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H185 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_Hba zenon_H1a5 zenon_H140 zenon_H182 zenon_H116 zenon_H115 zenon_H11f zenon_H126 zenon_H128. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L145_); trivial. % 1.30/1.49 apply (zenon_L756_); trivial. % 1.30/1.49 (* end of lemma zenon_L757_ *) % 1.30/1.49 assert (zenon_L758_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> (~(hskp15)) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H132 zenon_H189 zenon_Hf1 zenon_H88 zenon_H185 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_Hba zenon_H1a5 zenon_H140 zenon_H182 zenon_H126 zenon_H128 zenon_H1 zenon_H5 zenon_H7. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.49 apply (zenon_L4_); trivial. % 1.30/1.49 apply (zenon_L757_); trivial. % 1.30/1.49 (* end of lemma zenon_L758_ *) % 1.30/1.49 assert (zenon_L759_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(c3_1 (a509))) -> (~(c2_1 (a509))) -> (~(c0_1 (a509))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp28)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H7f zenon_H299 zenon_H290 zenon_H28f zenon_H28e zenon_H7d zenon_H80 zenon_H31. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H28d | zenon_intro zenon_H29a ]. % 1.30/1.49 apply (zenon_L532_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H32 ]. % 1.30/1.49 apply (zenon_L580_); trivial. % 1.30/1.49 exact (zenon_H31 zenon_H32). % 1.30/1.49 (* end of lemma zenon_L759_ *) % 1.30/1.49 assert (zenon_L760_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(hskp28)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a509))) -> (~(c2_1 (a509))) -> (~(c3_1 (a509))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H85 zenon_H299 zenon_H31 zenon_H7d zenon_H80 zenon_H10 zenon_H28e zenon_H28f zenon_H290 zenon_H9b zenon_H297. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.30/1.49 apply (zenon_L533_); trivial. % 1.30/1.49 apply (zenon_L759_); trivial. % 1.30/1.49 (* end of lemma zenon_L760_ *) % 1.30/1.49 assert (zenon_L761_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp24)) -> (~(hskp26)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H29b zenon_H4d zenon_H103 zenon_H51 zenon_Hc5 zenon_Hc7 zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H299 zenon_H85. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.49 apply (zenon_L760_); trivial. % 1.30/1.49 apply (zenon_L69_); trivial. % 1.30/1.49 (* end of lemma zenon_L761_ *) % 1.30/1.49 assert (zenon_L762_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H185 zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H33 zenon_Hcd zenon_Hd0 zenon_Hcf zenon_H155 zenon_H156 zenon_Hdc zenon_H31 zenon_H80 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H182. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.30/1.49 apply (zenon_L402_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.30/1.49 apply (zenon_L107_); trivial. % 1.30/1.49 exact (zenon_H7d zenon_H7e). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L9_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 (* end of lemma zenon_L762_ *) % 1.30/1.49 assert (zenon_L763_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40)))))) -> (~(c3_1 (a492))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp13)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H275 zenon_H4a zenon_H38 zenon_H37 zenon_Hc9 zenon_Hcd zenon_Hcf zenon_Hd0 zenon_H155 zenon_H156 zenon_H1ad zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_Hde zenon_H5. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_Hce | zenon_intro zenon_H276 ]. % 1.30/1.49 apply (zenon_L155_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H6e | zenon_intro zenon_H6 ]. % 1.30/1.49 apply (zenon_L107_); trivial. % 1.30/1.49 exact (zenon_H5 zenon_H6). % 1.30/1.49 (* end of lemma zenon_L763_ *) % 1.30/1.49 assert (zenon_L764_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hed zenon_H4d zenon_H1ad zenon_H5 zenon_H275 zenon_H80 zenon_H176 zenon_H175 zenon_H174 zenon_H12 zenon_H13 zenon_H14 zenon_Hdc zenon_H7d zenon_H156 zenon_H155 zenon_H33 zenon_H182 zenon_H185. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.49 apply (zenon_L762_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.30/1.49 apply (zenon_L763_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.30/1.49 apply (zenon_L71_); trivial. % 1.30/1.49 exact (zenon_H7d zenon_H7e). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.30/1.49 apply (zenon_L107_); trivial. % 1.30/1.49 exact (zenon_H7d zenon_H7e). % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L9_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 (* end of lemma zenon_L764_ *) % 1.30/1.49 assert (zenon_L765_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H29e zenon_Hc7 zenon_H297 zenon_H299 zenon_H85 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H103 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H60 zenon_H62 zenon_H182 zenon_H185 zenon_H28b zenon_Hba zenon_H4d zenon_H155 zenon_H156 zenon_Hdc zenon_H275 zenon_H5 zenon_H1ad zenon_Heb zenon_H99 zenon_H9b zenon_H9f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L45_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.30/1.49 apply (zenon_L754_); trivial. % 1.30/1.49 apply (zenon_L632_); trivial. % 1.30/1.49 apply (zenon_L761_); trivial. % 1.30/1.49 apply (zenon_L764_); trivial. % 1.30/1.49 apply (zenon_L506_); trivial. % 1.30/1.49 (* end of lemma zenon_L765_ *) % 1.30/1.49 assert (zenon_L766_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L175_); trivial. % 1.30/1.49 apply (zenon_L756_); trivial. % 1.30/1.49 (* end of lemma zenon_L766_ *) % 1.30/1.49 assert (zenon_L767_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H132 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_Hba zenon_H1c8 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.49 apply (zenon_L4_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_L7_); trivial. % 1.30/1.49 apply (zenon_L766_); trivial. % 1.30/1.49 (* end of lemma zenon_L767_ *) % 1.30/1.49 assert (zenon_L768_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H98 zenon_Hd zenon_H9 zenon_H190 zenon_H13e zenon_H142 zenon_H19b zenon_H152 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H85 zenon_H80 zenon_H7d zenon_H103 zenon_H2ac zenon_H33 zenon_H62 zenon_H245 zenon_H47 zenon_H4d zenon_H9b zenon_H9f zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H5 zenon_H7 zenon_H128 zenon_H126 zenon_H1a5 zenon_Hba zenon_H16b zenon_H1c8 zenon_Heb zenon_H1ad zenon_H275 zenon_Hdc zenon_H28b zenon_H299 zenon_H297 zenon_Hc7 zenon_H29e zenon_H16c. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.49 apply (zenon_L4_); trivial. % 1.30/1.49 apply (zenon_L755_); trivial. % 1.30/1.49 apply (zenon_L758_); trivial. % 1.30/1.49 apply (zenon_L132_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.30/1.49 apply (zenon_L4_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_L751_); trivial. % 1.30/1.49 apply (zenon_L765_); trivial. % 1.30/1.49 apply (zenon_L767_); trivial. % 1.30/1.49 apply (zenon_L508_); trivial. % 1.30/1.49 apply (zenon_L724_); trivial. % 1.30/1.49 (* end of lemma zenon_L768_ *) % 1.30/1.49 assert (zenon_L769_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp6)) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hed zenon_H1a7 zenon_H60 zenon_H1a3 zenon_H93 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H175 zenon_H176 zenon_H9. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.30/1.49 apply (zenon_L59_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.30/1.49 apply (zenon_L150_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.30/1.49 apply (zenon_L72_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.30/1.49 apply (zenon_L137_); trivial. % 1.30/1.49 exact (zenon_H9 zenon_Ha). % 1.30/1.49 (* end of lemma zenon_L769_ *) % 1.30/1.49 assert (zenon_L770_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Heb zenon_H1a7 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.30/1.49 apply (zenon_L726_); trivial. % 1.30/1.49 apply (zenon_L769_); trivial. % 1.30/1.49 (* end of lemma zenon_L770_ *) % 1.30/1.49 assert (zenon_L771_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp22)) -> (~(hskp21)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp19)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H185 zenon_Hbe zenon_Hbc zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H3 zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H190 zenon_H182. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.30/1.49 apply (zenon_L135_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.30/1.49 apply (zenon_L116_); trivial. % 1.30/1.49 exact (zenon_H182 zenon_H183). % 1.30/1.49 (* end of lemma zenon_L771_ *) % 1.30/1.49 assert (zenon_L772_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H4c zenon_H169 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H9f zenon_H9b zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_He7 zenon_H88 zenon_Hf1 zenon_H16a. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.49 apply (zenon_L771_); trivial. % 1.30/1.49 apply (zenon_L731_); trivial. % 1.30/1.49 apply (zenon_L77_); trivial. % 1.30/1.49 (* end of lemma zenon_L772_ *) % 1.30/1.49 assert (zenon_L773_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H4c zenon_H169 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_Heb zenon_H80 zenon_Hba zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H1a3 zenon_H60 zenon_H9 zenon_H93 zenon_H88 zenon_Hf1 zenon_H16a. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.30/1.49 apply (zenon_L771_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.30/1.49 apply (zenon_L175_); trivial. % 1.30/1.49 apply (zenon_L142_); trivial. % 1.30/1.49 apply (zenon_L77_); trivial. % 1.30/1.49 (* end of lemma zenon_L773_ *) % 1.30/1.49 assert (zenon_L774_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H184 zenon_H50 zenon_Hf1 zenon_H88 zenon_H7d zenon_H80 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.30/1.49 apply (zenon_L751_); trivial. % 1.30/1.49 apply (zenon_L766_); trivial. % 1.30/1.49 (* end of lemma zenon_L774_ *) % 1.30/1.49 assert (zenon_L775_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H132 zenon_H189 zenon_Hf1 zenon_H88 zenon_H62 zenon_H60 zenon_H130 zenon_Hba zenon_H128 zenon_H126 zenon_Hff zenon_H124 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85 zenon_H16a zenon_H93 zenon_H9 zenon_H1a3 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_H101 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_Heb zenon_H1c8 zenon_Hc0 zenon_H176 zenon_H175 zenon_H174 zenon_H190 zenon_H182 zenon_H185 zenon_H169 zenon_H50. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L739_); trivial. % 1.35/1.50 apply (zenon_L773_); trivial. % 1.35/1.50 apply (zenon_L774_); trivial. % 1.35/1.50 (* end of lemma zenon_L775_ *) % 1.35/1.50 assert (zenon_L776_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c0_1 (a450))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1b7 zenon_H98 zenon_H231 zenon_H24c zenon_H189 zenon_H85 zenon_H2ac zenon_H33 zenon_H62 zenon_H245 zenon_H47 zenon_Heb zenon_H1a7 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H1a3 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_Hf1 zenon_H88 zenon_He7 zenon_H4d zenon_H103 zenon_Hff zenon_H101 zenon_Hba zenon_H80 zenon_H9b zenon_H9f zenon_Hc0 zenon_H174 zenon_H190 zenon_H182 zenon_H185 zenon_H169 zenon_H50 zenon_H1c8 zenon_H124 zenon_H126 zenon_H128 zenon_H130 zenon_H16b. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L770_); trivial. % 1.35/1.50 apply (zenon_L772_); trivial. % 1.35/1.50 apply (zenon_L755_); trivial. % 1.35/1.50 apply (zenon_L775_); trivial. % 1.35/1.50 apply (zenon_L750_); trivial. % 1.35/1.50 (* end of lemma zenon_L776_ *) % 1.35/1.50 assert (zenon_L777_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H202 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H2d. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1ee ]. % 1.35/1.50 apply (zenon_L719_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.35/1.50 apply (zenon_L85_); trivial. % 1.35/1.50 exact (zenon_H2d zenon_H2e). % 1.35/1.50 (* end of lemma zenon_L777_ *) % 1.35/1.50 assert (zenon_L778_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H84 zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.35/1.50 apply (zenon_L777_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.35/1.50 apply (zenon_L30_); trivial. % 1.35/1.50 apply (zenon_L184_); trivial. % 1.35/1.50 (* end of lemma zenon_L778_ *) % 1.35/1.50 assert (zenon_L779_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.35/1.50 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.50 apply (zenon_L84_); trivial. % 1.35/1.50 apply (zenon_L778_); trivial. % 1.35/1.50 (* end of lemma zenon_L779_ *) % 1.35/1.50 assert (zenon_L780_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L185_); trivial. % 1.35/1.50 apply (zenon_L779_); trivial. % 1.35/1.50 (* end of lemma zenon_L780_ *) % 1.35/1.50 assert (zenon_L781_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp14)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp13)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1ce zenon_H1 zenon_H174 zenon_H175 zenon_H176 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51 zenon_H1ca zenon_H31 zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H5. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.35/1.50 apply (zenon_L187_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.35/1.50 apply (zenon_L436_); trivial. % 1.35/1.50 exact (zenon_H5 zenon_H6). % 1.35/1.50 (* end of lemma zenon_L781_ *) % 1.35/1.50 assert (zenon_L782_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2d zenon_H202 zenon_H1ce zenon_H5 zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H174 zenon_H175 zenon_H176 zenon_H1 zenon_H1ca zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H4d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.50 apply (zenon_L781_); trivial. % 1.35/1.50 apply (zenon_L722_); trivial. % 1.35/1.50 apply (zenon_L778_); trivial. % 1.35/1.50 (* end of lemma zenon_L782_ *) % 1.35/1.50 assert (zenon_L783_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.35/1.50 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.50 apply (zenon_L182_); trivial. % 1.35/1.50 apply (zenon_L778_); trivial. % 1.35/1.50 (* end of lemma zenon_L783_ *) % 1.35/1.50 assert (zenon_L784_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H1ca zenon_Hba zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H130 zenon_H88 zenon_Hf1. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L185_); trivial. % 1.35/1.50 apply (zenon_L783_); trivial. % 1.35/1.50 apply (zenon_L724_); trivial. % 1.35/1.50 (* end of lemma zenon_L784_ *) % 1.35/1.50 assert (zenon_L785_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b6 zenon_H7 zenon_Hd zenon_H9 zenon_H4d zenon_H47 zenon_H245 zenon_H1ca zenon_H33 zenon_H1ce zenon_H50 zenon_H189 zenon_H1c8 zenon_He7 zenon_H62 zenon_H80 zenon_H7d zenon_H85 zenon_H93 zenon_H98 zenon_H168 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H2d zenon_H53 zenon_H9b zenon_H9f zenon_H128 zenon_H126 zenon_Hba zenon_H16b. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L45_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.50 apply (zenon_L25_); trivial. % 1.35/1.50 apply (zenon_L778_); trivial. % 1.35/1.50 apply (zenon_L780_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L7_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L45_); trivial. % 1.35/1.50 apply (zenon_L782_); trivial. % 1.35/1.50 apply (zenon_L780_); trivial. % 1.35/1.50 apply (zenon_L204_); trivial. % 1.35/1.50 apply (zenon_L784_); trivial. % 1.35/1.50 (* end of lemma zenon_L785_ *) % 1.35/1.50 assert (zenon_L786_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H26f zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_H2b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_Hde | zenon_intro zenon_H270 ]. % 1.35/1.50 apply (zenon_L208_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2c ]. % 1.35/1.50 apply (zenon_L719_); trivial. % 1.35/1.50 exact (zenon_H2b zenon_H2c). % 1.35/1.50 (* end of lemma zenon_L786_ *) % 1.35/1.50 assert (zenon_L787_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H7 zenon_H5 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H182 zenon_H185 zenon_H189. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.50 apply (zenon_L684_); trivial. % 1.35/1.50 apply (zenon_L724_); trivial. % 1.35/1.50 (* end of lemma zenon_L787_ *) % 1.35/1.50 assert (zenon_L788_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp13)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1ce zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H31 zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H5. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.35/1.50 apply (zenon_L208_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.35/1.50 apply (zenon_L436_); trivial. % 1.35/1.50 exact (zenon_H5 zenon_H6). % 1.35/1.50 (* end of lemma zenon_L788_ *) % 1.35/1.50 assert (zenon_L789_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp13)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hba zenon_H5. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.35/1.50 apply (zenon_L208_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.35/1.50 apply (zenon_L574_); trivial. % 1.35/1.50 exact (zenon_H5 zenon_H6). % 1.35/1.50 (* end of lemma zenon_L789_ *) % 1.35/1.50 assert (zenon_L790_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H10 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H14 zenon_H13 zenon_H12 zenon_H5 zenon_H1ce. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.50 apply (zenon_L788_); trivial. % 1.35/1.50 apply (zenon_L789_); trivial. % 1.35/1.50 (* end of lemma zenon_L790_ *) % 1.35/1.50 assert (zenon_L791_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H1ce zenon_H5 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hba zenon_H4d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L185_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.50 apply (zenon_L790_); trivial. % 1.35/1.50 apply (zenon_L778_); trivial. % 1.35/1.50 (* end of lemma zenon_L791_ *) % 1.35/1.50 assert (zenon_L792_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H1ce zenon_H33 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hba zenon_H4d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L7_); trivial. % 1.35/1.50 apply (zenon_L791_); trivial. % 1.35/1.50 (* end of lemma zenon_L792_ *) % 1.35/1.50 assert (zenon_L793_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H1ca zenon_Hf1 zenon_H88 zenon_H130 zenon_H1ce zenon_H33 zenon_Hba zenon_H4d zenon_H126 zenon_H128 zenon_Hd zenon_H16b zenon_H1c8 zenon_He7 zenon_H62 zenon_H80 zenon_H85 zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H168 zenon_H202 zenon_H2d zenon_H7 zenon_H185 zenon_H189 zenon_Heb zenon_H1a7 zenon_H93 zenon_H9 zenon_H1a3 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H271 zenon_H190 zenon_H50 zenon_H24c zenon_H245 zenon_H231 zenon_H98 zenon_H1b6 zenon_H1d0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.50 apply (zenon_L786_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.50 apply (zenon_L787_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L770_); trivial. % 1.35/1.50 apply (zenon_L295_); trivial. % 1.35/1.50 apply (zenon_L423_); trivial. % 1.35/1.50 apply (zenon_L750_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.50 apply (zenon_L792_); trivial. % 1.35/1.50 apply (zenon_L220_); trivial. % 1.35/1.50 apply (zenon_L784_); trivial. % 1.35/1.50 (* end of lemma zenon_L793_ *) % 1.35/1.50 assert (zenon_L794_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp11)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp3)) -> False). % 1.35/1.50 do 0 intro. intros zenon_Hf2 zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H182 zenon_H12 zenon_H13 zenon_H14 zenon_H185 zenon_H2d. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ee ]. % 1.35/1.50 apply (zenon_L223_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.35/1.50 apply (zenon_L571_); trivial. % 1.35/1.50 exact (zenon_H2d zenon_H2e). % 1.35/1.50 (* end of lemma zenon_L794_ *) % 1.35/1.50 assert (zenon_L795_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H1ed zenon_H2d zenon_H182 zenon_H185 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H99 zenon_H9b zenon_H9f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L45_); trivial. % 1.35/1.50 apply (zenon_L794_); trivial. % 1.35/1.50 (* end of lemma zenon_L795_ *) % 1.35/1.50 assert (zenon_L796_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_H1ed zenon_H2d zenon_H182 zenon_H185 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H99 zenon_H9b zenon_H9f zenon_H1 zenon_H5 zenon_H7. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_L795_); trivial. % 1.35/1.50 (* end of lemma zenon_L796_ *) % 1.35/1.50 assert (zenon_L797_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H184 zenon_H50 zenon_H1ed zenon_H2d zenon_H182 zenon_H185 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1c8 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H126 zenon_H128 zenon_Hba zenon_H130 zenon_H60 zenon_H62 zenon_H88 zenon_Hf1. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L739_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L175_); trivial. % 1.35/1.50 apply (zenon_L794_); trivial. % 1.35/1.50 (* end of lemma zenon_L797_ *) % 1.35/1.50 assert (zenon_L798_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H16b zenon_H50 zenon_H1c8 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_Hba zenon_H130 zenon_H60 zenon_H62 zenon_H88 zenon_H7 zenon_H5 zenon_H1 zenon_H9f zenon_H9b zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H185 zenon_H182 zenon_H2d zenon_H1ed zenon_Hf1 zenon_H189. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.50 apply (zenon_L796_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_L797_); trivial. % 1.35/1.50 (* end of lemma zenon_L798_ *) % 1.35/1.50 assert (zenon_L799_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H168 zenon_H202 zenon_H16b zenon_H50 zenon_H1c8 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_Hba zenon_H130 zenon_H62 zenon_H88 zenon_H7 zenon_H5 zenon_H9f zenon_H9b zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H185 zenon_H182 zenon_H2d zenon_H1ed zenon_Hf1 zenon_H189 zenon_H7d zenon_H103 zenon_H13e zenon_H80 zenon_H152 zenon_H98. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.50 apply (zenon_L798_); trivial. % 1.35/1.50 apply (zenon_L508_); trivial. % 1.35/1.50 apply (zenon_L724_); trivial. % 1.35/1.50 (* end of lemma zenon_L799_ *) % 1.35/1.50 assert (zenon_L800_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H189 zenon_H1ed zenon_H2d zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_Hf1 zenon_H88 zenon_H26f zenon_H2b zenon_He7 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_Hba zenon_H80 zenon_Heb zenon_H99 zenon_H9b zenon_H9f zenon_H16a zenon_H185 zenon_H182 zenon_H190 zenon_H4d zenon_H103 zenon_Hff zenon_H101 zenon_Hc0 zenon_H169 zenon_H50. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_L732_); trivial. % 1.35/1.50 apply (zenon_L795_); trivial. % 1.35/1.50 (* end of lemma zenon_L800_ *) % 1.35/1.50 assert (zenon_L801_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H189 zenon_Hf1 zenon_H1ed zenon_H2d zenon_H182 zenon_H185 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H9b zenon_H9f zenon_H5 zenon_H7 zenon_Hd zenon_H9 zenon_H1c8 zenon_Hba zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H88 zenon_H50 zenon_H16b. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.50 apply (zenon_L796_); trivial. % 1.35/1.50 apply (zenon_L767_); trivial. % 1.35/1.50 apply (zenon_L724_); trivial. % 1.35/1.50 (* end of lemma zenon_L801_ *) % 1.35/1.50 assert (zenon_L802_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.35/1.50 do 0 intro. intros zenon_Hf1 zenon_H26f zenon_H2b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H99 zenon_H9b zenon_H9f. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L45_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_Hde | zenon_intro zenon_H270 ]. % 1.35/1.50 apply (zenon_L262_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2c ]. % 1.35/1.50 apply (zenon_L719_); trivial. % 1.35/1.50 exact (zenon_H2b zenon_H2c). % 1.35/1.50 (* end of lemma zenon_L802_ *) % 1.35/1.50 assert (zenon_L803_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H85 zenon_H1a3 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L175_); trivial. % 1.35/1.50 apply (zenon_L240_); trivial. % 1.35/1.50 (* end of lemma zenon_L803_ *) % 1.35/1.50 assert (zenon_L804_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H132 zenon_H50 zenon_H1a3 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H1c8 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_Hba zenon_H130 zenon_H60 zenon_H62 zenon_H88 zenon_Hf1. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L739_); trivial. % 1.35/1.50 apply (zenon_L803_); trivial. % 1.35/1.50 (* end of lemma zenon_L804_ *) % 1.35/1.50 assert (zenon_L805_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H202 zenon_H16b zenon_H50 zenon_H1a3 zenon_H1ca zenon_H1c8 zenon_H85 zenon_H271 zenon_H245 zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_Hba zenon_H130 zenon_H62 zenon_H88 zenon_H9f zenon_H9b zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2b zenon_H26f zenon_Hf1 zenon_H53 zenon_H2d zenon_H9 zenon_H93 zenon_H98. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.50 apply (zenon_L802_); trivial. % 1.35/1.50 apply (zenon_L804_); trivial. % 1.35/1.50 apply (zenon_L40_); trivial. % 1.35/1.50 apply (zenon_L724_); trivial. % 1.35/1.50 (* end of lemma zenon_L805_ *) % 1.35/1.50 assert (zenon_L806_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H16e zenon_H4d zenon_H47 zenon_H1e zenon_H1c zenon_H26 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H14 zenon_H13 zenon_H12 zenon_Hff zenon_H101. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.50 apply (zenon_L67_); trivial. % 1.35/1.50 apply (zenon_L722_); trivial. % 1.35/1.50 (* end of lemma zenon_L806_ *) % 1.35/1.50 assert (zenon_L807_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H128 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H10 zenon_H64 zenon_H9d zenon_H126. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H11e | zenon_intro zenon_H129 ]. % 1.35/1.50 apply (zenon_L325_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9e | zenon_intro zenon_H127 ]. % 1.35/1.50 exact (zenon_H9d zenon_H9e). % 1.35/1.50 exact (zenon_H126 zenon_H127). % 1.35/1.50 (* end of lemma zenon_L807_ *) % 1.35/1.50 assert (zenon_L808_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (ndr1_0) -> (forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (~(hskp6)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H93 zenon_H126 zenon_H9d zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H128 zenon_H175 zenon_H176 zenon_H10 zenon_H19d zenon_H9. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.35/1.50 apply (zenon_L807_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.35/1.50 apply (zenon_L137_); trivial. % 1.35/1.50 exact (zenon_H9 zenon_Ha). % 1.35/1.50 (* end of lemma zenon_L808_ *) % 1.35/1.50 assert (zenon_L809_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1a7 zenon_H10a zenon_H109 zenon_H108 zenon_H93 zenon_H126 zenon_H9d zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H128 zenon_H175 zenon_H176 zenon_H10 zenon_H9. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.35/1.50 apply (zenon_L229_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.35/1.50 apply (zenon_L76_); trivial. % 1.35/1.50 apply (zenon_L808_); trivial. % 1.35/1.50 (* end of lemma zenon_L809_ *) % 1.35/1.50 assert (zenon_L810_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H84 zenon_H85 zenon_H1a7 zenon_H10a zenon_H109 zenon_H108 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_H60 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H130. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.35/1.50 apply (zenon_L87_); trivial. % 1.35/1.50 apply (zenon_L252_); trivial. % 1.35/1.50 (* end of lemma zenon_L810_ *) % 1.35/1.50 assert (zenon_L811_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.35/1.50 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1a7 zenon_H10a zenon_H109 zenon_H108 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.50 apply (zenon_L84_); trivial. % 1.35/1.50 apply (zenon_L810_); trivial. % 1.35/1.50 (* end of lemma zenon_L811_ *) % 1.35/1.50 assert (zenon_L812_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H111 zenon_Hf1 zenon_H88 zenon_H85 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H126 zenon_H128 zenon_H1a7. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L809_); trivial. % 1.35/1.50 apply (zenon_L811_); trivial. % 1.35/1.50 (* end of lemma zenon_L812_ *) % 1.35/1.50 assert (zenon_L813_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H184 zenon_H152 zenon_H1ca zenon_H1 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H182 zenon_H185. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.35/1.50 apply (zenon_L128_); trivial. % 1.35/1.50 apply (zenon_L442_); trivial. % 1.35/1.50 (* end of lemma zenon_L813_ *) % 1.35/1.50 assert (zenon_L814_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H95 zenon_H189 zenon_H152 zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H13e zenon_H182 zenon_H185 zenon_H1 zenon_H5 zenon_H7. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_L813_); trivial. % 1.35/1.50 (* end of lemma zenon_L814_ *) % 1.35/1.50 assert (zenon_L815_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a456)) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (c0_1 (a456)) -> (c1_1 (a456)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H236 zenon_Hcc zenon_H10 zenon_H234 zenon_H235. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.35/1.50 apply (zenon_L719_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.35/1.50 apply (zenon_L336_); trivial. % 1.35/1.50 apply (zenon_L337_); trivial. % 1.35/1.50 (* end of lemma zenon_L815_ *) % 1.35/1.50 assert (zenon_L816_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp6)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H247 zenon_H1a7 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H93 zenon_H126 zenon_H9d zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H128 zenon_H175 zenon_H176 zenon_H9. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.35/1.50 apply (zenon_L229_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.35/1.50 apply (zenon_L815_); trivial. % 1.35/1.50 apply (zenon_L808_); trivial. % 1.35/1.50 (* end of lemma zenon_L816_ *) % 1.35/1.50 assert (zenon_L817_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_Heb zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H9d zenon_H126 zenon_H128 zenon_H1a7 zenon_H24c. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.35/1.50 apply (zenon_L335_); trivial. % 1.35/1.50 apply (zenon_L816_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.35/1.50 apply (zenon_L229_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.35/1.50 apply (zenon_L161_); trivial. % 1.35/1.50 apply (zenon_L808_); trivial. % 1.35/1.50 (* end of lemma zenon_L817_ *) % 1.35/1.50 assert (zenon_L818_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H95 zenon_Hf1 zenon_H88 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H24c zenon_H1a7 zenon_H128 zenon_H126 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H231 zenon_Heb. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L817_); trivial. % 1.35/1.50 apply (zenon_L323_); trivial. % 1.35/1.50 (* end of lemma zenon_L818_ *) % 1.35/1.50 assert (zenon_L819_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H16b zenon_H88 zenon_H130 zenon_H2d zenon_H202 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H9f zenon_H9b zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2b zenon_H26f zenon_Hf1. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.50 apply (zenon_L802_); trivial. % 1.35/1.50 apply (zenon_L780_); trivial. % 1.35/1.50 (* end of lemma zenon_L819_ *) % 1.35/1.50 assert (zenon_L820_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp26)) -> (~(hskp30)) -> (ndr1_0) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(hskp16)) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_Hc5 zenon_H22f zenon_H10 zenon_H176 zenon_H175 zenon_H231 zenon_H60. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.35/1.50 apply (zenon_L229_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H89 | zenon_intro zenon_H232 ]. % 1.35/1.50 apply (zenon_L137_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H230 | zenon_intro zenon_Hc6 ]. % 1.35/1.50 exact (zenon_H22f zenon_H230). % 1.35/1.50 exact (zenon_Hc5 zenon_Hc6). % 1.35/1.50 exact (zenon_H60 zenon_H61). % 1.35/1.50 (* end of lemma zenon_L820_ *) % 1.35/1.50 assert (zenon_L821_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(hskp26)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H24c zenon_H1a7 zenon_H128 zenon_H126 zenon_H9d zenon_H9 zenon_H93 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_Hc5 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.35/1.50 apply (zenon_L820_); trivial. % 1.35/1.50 apply (zenon_L816_); trivial. % 1.35/1.50 (* end of lemma zenon_L821_ *) % 1.35/1.50 assert (zenon_L822_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_Heb zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H231 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H10 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H93 zenon_H9 zenon_H9d zenon_H126 zenon_H128 zenon_H1a7 zenon_H24c. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.50 apply (zenon_L821_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.35/1.50 apply (zenon_L229_); trivial. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.35/1.50 apply (zenon_L150_); trivial. % 1.35/1.50 apply (zenon_L808_); trivial. % 1.35/1.50 (* end of lemma zenon_L822_ *) % 1.35/1.50 assert (zenon_L823_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H95 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H93 zenon_H4d zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H13e zenon_H33 zenon_H1ce zenon_Hba zenon_H1ca zenon_H152 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L7_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L185_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.50 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.50 apply (zenon_L437_); trivial. % 1.35/1.50 apply (zenon_L722_); trivial. % 1.35/1.50 apply (zenon_L640_); trivial. % 1.35/1.50 apply (zenon_L39_); trivial. % 1.35/1.50 (* end of lemma zenon_L823_ *) % 1.35/1.50 assert (zenon_L824_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c0_1 (a450))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H168 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2d zenon_H202 zenon_H1ce zenon_H33 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H174 zenon_H1ca zenon_H47 zenon_H4d zenon_H24c zenon_H1a7 zenon_H128 zenon_H126 zenon_H93 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H175 zenon_H176 zenon_H1a3 zenon_Heb zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H152 zenon_H13e zenon_H98. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.50 apply (zenon_L4_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.50 apply (zenon_L7_); trivial. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.50 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.50 apply (zenon_L822_); trivial. % 1.35/1.50 apply (zenon_L782_); trivial. % 1.35/1.50 apply (zenon_L823_); trivial. % 1.35/1.50 apply (zenon_L724_); trivial. % 1.35/1.50 (* end of lemma zenon_L824_ *) % 1.35/1.50 assert (zenon_L825_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H98 zenon_H13e zenon_H152 zenon_H7 zenon_Hd zenon_H9 zenon_Heb zenon_H1a3 zenon_H231 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H93 zenon_H126 zenon_H128 zenon_H1a7 zenon_H24c zenon_H4d zenon_H47 zenon_H1ca zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H33 zenon_H1ce zenon_H202 zenon_H2d zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H189 zenon_H168. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.50 apply (zenon_L824_); trivial. % 1.35/1.50 apply (zenon_L784_); trivial. % 1.35/1.50 (* end of lemma zenon_L825_ *) % 1.35/1.50 assert (zenon_L826_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.35/1.50 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b6 zenon_H98 zenon_H13e zenon_H152 zenon_H7 zenon_Hd zenon_H9 zenon_Heb zenon_H1a3 zenon_H231 zenon_H245 zenon_H93 zenon_H1a7 zenon_H24c zenon_H4d zenon_H47 zenon_H1ca zenon_H33 zenon_H1ce zenon_H50 zenon_H189 zenon_H168 zenon_Hf1 zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H9b zenon_H9f zenon_H128 zenon_H126 zenon_Hba zenon_H202 zenon_H2d zenon_H130 zenon_H88 zenon_H16b. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.50 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.50 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.50 apply (zenon_L819_); trivial. % 1.35/1.50 apply (zenon_L825_); trivial. % 1.35/1.50 (* end of lemma zenon_L826_ *) % 1.35/1.50 assert (zenon_L827_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H13e zenon_H152 zenon_Hd zenon_H4d zenon_H47 zenon_H33 zenon_H1ce zenon_H130 zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H168 zenon_H202 zenon_H2d zenon_H7 zenon_H185 zenon_H189 zenon_H98 zenon_H88 zenon_Hba zenon_H1ca zenon_H50 zenon_H190 zenon_Heb zenon_H1a3 zenon_H231 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H245 zenon_H93 zenon_H9 zenon_H126 zenon_H128 zenon_H1a7 zenon_H24c zenon_H163 zenon_H142 zenon_H62 zenon_H271 zenon_H85 zenon_Hf1 zenon_H1b6 zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.51 apply (zenon_L786_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.51 apply (zenon_L787_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L822_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.35/1.51 apply (zenon_L236_); trivial. % 1.35/1.51 apply (zenon_L737_); trivial. % 1.35/1.51 apply (zenon_L295_); trivial. % 1.35/1.51 apply (zenon_L423_); trivial. % 1.35/1.51 apply (zenon_L818_); trivial. % 1.35/1.51 apply (zenon_L724_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.51 apply (zenon_L786_); trivial. % 1.35/1.51 apply (zenon_L825_); trivial. % 1.35/1.51 (* end of lemma zenon_L827_ *) % 1.35/1.51 assert (zenon_L828_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H168 zenon_H93 zenon_H9 zenon_Hd zenon_He7 zenon_H1a3 zenon_H16b zenon_H50 zenon_H1c8 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_Hba zenon_H130 zenon_H62 zenon_H88 zenon_H7 zenon_H5 zenon_H9f zenon_H9b zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H185 zenon_H182 zenon_H2d zenon_H1ed zenon_Hf1 zenon_H189 zenon_H13e zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ca zenon_H152 zenon_H98. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.51 apply (zenon_L798_); trivial. % 1.35/1.51 apply (zenon_L814_); trivial. % 1.35/1.51 apply (zenon_L234_); trivial. % 1.35/1.51 (* end of lemma zenon_L828_ *) % 1.35/1.51 assert (zenon_L829_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (ndr1_0) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a444))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1a3 zenon_H9 zenon_H10 zenon_H176 zenon_H175 zenon_H1f3 zenon_H11e zenon_H1f4 zenon_H1f5 zenon_H93 zenon_H60. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.35/1.51 apply (zenon_L229_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.35/1.51 apply (zenon_L325_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.35/1.51 apply (zenon_L137_); trivial. % 1.35/1.51 exact (zenon_H9 zenon_Ha). % 1.35/1.51 exact (zenon_H60 zenon_H61). % 1.35/1.51 (* end of lemma zenon_L829_ *) % 1.35/1.51 assert (zenon_L830_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (ndr1_0) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H130 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H54 zenon_H67 zenon_H66 zenon_H65 zenon_H1a3 zenon_H9 zenon_H10 zenon_H176 zenon_H175 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H93 zenon_H60. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.35/1.51 apply (zenon_L85_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.35/1.51 apply (zenon_L30_); trivial. % 1.35/1.51 apply (zenon_L829_); trivial. % 1.35/1.51 (* end of lemma zenon_L830_ *) % 1.35/1.51 assert (zenon_L831_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.35/1.51 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H1ed zenon_H2d zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H130 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.51 apply (zenon_L239_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ee ]. % 1.35/1.51 apply (zenon_L223_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.35/1.51 apply (zenon_L830_); trivial. % 1.35/1.51 exact (zenon_H2d zenon_H2e). % 1.35/1.51 (* end of lemma zenon_L831_ *) % 1.35/1.51 assert (zenon_L832_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H202 zenon_Hf1 zenon_H88 zenon_H1ed zenon_H2d zenon_H130 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_Hba zenon_H1ca zenon_H24c zenon_H1a7 zenon_H128 zenon_H126 zenon_H9 zenon_H93 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H175 zenon_H176 zenon_H1a3 zenon_Heb zenon_H98. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L822_); trivial. % 1.35/1.51 apply (zenon_L831_); trivial. % 1.35/1.51 apply (zenon_L818_); trivial. % 1.35/1.51 apply (zenon_L724_); trivial. % 1.35/1.51 (* end of lemma zenon_L832_ *) % 1.35/1.51 assert (zenon_L833_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a445))) -> (~(c1_1 (a445))) -> (~(c3_1 (a445))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H50 zenon_H1ce zenon_H33 zenon_H4d zenon_Hd zenon_H85 zenon_H62 zenon_He7 zenon_H1c8 zenon_H16b zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H168 zenon_H202 zenon_H2d zenon_H7 zenon_H185 zenon_H189 zenon_H98 zenon_Heb zenon_H1a3 zenon_H231 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H245 zenon_H93 zenon_H9 zenon_H126 zenon_H128 zenon_H1a7 zenon_H24c zenon_H1ca zenon_Hba zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H130 zenon_H1ed zenon_H88 zenon_Hf1 zenon_H1b6 zenon_H1d0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.51 apply (zenon_L786_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.51 apply (zenon_L787_); trivial. % 1.35/1.51 apply (zenon_L832_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.51 apply (zenon_L786_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.51 apply (zenon_L792_); trivial. % 1.35/1.51 apply (zenon_L234_); trivial. % 1.35/1.51 apply (zenon_L832_); trivial. % 1.35/1.51 (* end of lemma zenon_L833_ *) % 1.35/1.51 assert (zenon_L834_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c2_1 (a437)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H47 zenon_H14 zenon_H13 zenon_H12 zenon_H38 zenon_H37 zenon_H4a zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H10 zenon_H217 zenon_H192 zenon_H216 zenon_H218. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.35/1.51 apply (zenon_L9_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.35/1.51 apply (zenon_L721_); trivial. % 1.35/1.51 apply (zenon_L274_); trivial. % 1.35/1.51 (* end of lemma zenon_L834_ *) % 1.35/1.51 assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H46 zenon_H227 zenon_H1e zenon_H1c zenon_H26 zenon_H12 zenon_H13 zenon_H14 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H217 zenon_H216 zenon_H218 zenon_H47. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.35/1.51 apply (zenon_L834_); trivial. % 1.35/1.51 apply (zenon_L20_); trivial. % 1.35/1.51 (* end of lemma zenon_L835_ *) % 1.35/1.51 assert (zenon_L836_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4c zenon_H4d zenon_H227 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.51 apply (zenon_L297_); trivial. % 1.35/1.51 apply (zenon_L835_); trivial. % 1.35/1.51 (* end of lemma zenon_L836_ *) % 1.35/1.51 assert (zenon_L837_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.51 apply (zenon_L4_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L7_); trivial. % 1.35/1.51 apply (zenon_L836_); trivial. % 1.35/1.51 (* end of lemma zenon_L837_ *) % 1.35/1.51 assert (zenon_L838_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H227 zenon_H4d zenon_H50 zenon_H189. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.51 apply (zenon_L837_); trivial. % 1.35/1.51 apply (zenon_L724_); trivial. % 1.35/1.51 (* end of lemma zenon_L838_ *) % 1.35/1.51 assert (zenon_L839_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.35/1.51 do 0 intro. intros zenon_He7 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hcc zenon_Hb3 zenon_Hde zenon_Hb1 zenon_H10 zenon_H99. % 1.35/1.51 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hce | zenon_intro zenon_He8 ]. % 1.35/1.51 apply (zenon_L58_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H54 | zenon_intro zenon_H9a ]. % 1.35/1.51 apply (zenon_L60_); trivial. % 1.35/1.51 exact (zenon_H99 zenon_H9a). % 1.35/1.51 (* end of lemma zenon_L839_ *) % 1.35/1.51 assert (zenon_L840_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.35/1.51 do 0 intro. intros zenon_H161 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H218 zenon_H217 zenon_H216 zenon_He7 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hb3 zenon_Hde zenon_Hb1 zenon_H10 zenon_H99. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.35/1.51 apply (zenon_L59_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.35/1.51 apply (zenon_L268_); trivial. % 1.35/1.51 apply (zenon_L839_); trivial. % 1.35/1.51 (* end of lemma zenon_L840_ *) % 1.35/1.51 assert (zenon_L841_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H26f zenon_H2b zenon_H216 zenon_H217 zenon_H218 zenon_He7 zenon_H161 zenon_H271 zenon_Hb zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_Hba zenon_H80 zenon_Heb zenon_H99 zenon_H9b zenon_H9f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L45_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.51 apply (zenon_L727_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.51 apply (zenon_L56_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_Hde | zenon_intro zenon_H270 ]. % 1.35/1.51 apply (zenon_L840_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2c ]. % 1.35/1.51 apply (zenon_L719_); trivial. % 1.35/1.51 exact (zenon_H2b zenon_H2c). % 1.35/1.51 (* end of lemma zenon_L841_ *) % 1.35/1.51 assert (zenon_L842_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp29)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H227 zenon_H2ac zenon_H1c zenon_H1e zenon_H26 zenon_H37 zenon_H38 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H5e zenon_H60 zenon_H62 zenon_H190 zenon_H3 zenon_H182 zenon_H185. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.35/1.51 apply (zenon_L86_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.35/1.51 apply (zenon_L60_); trivial. % 1.35/1.51 apply (zenon_L298_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.35/1.51 apply (zenon_L116_); trivial. % 1.35/1.51 exact (zenon_H182 zenon_H183). % 1.35/1.51 apply (zenon_L20_); trivial. % 1.35/1.51 (* end of lemma zenon_L842_ *) % 1.35/1.51 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H46 zenon_H85 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H62 zenon_H60 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H47 zenon_H218 zenon_H216 zenon_H217 zenon_H26 zenon_H1e zenon_H1c zenon_H2ac zenon_H227. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.35/1.51 apply (zenon_L842_); trivial. % 1.35/1.51 apply (zenon_L740_); trivial. % 1.35/1.51 (* end of lemma zenon_L843_ *) % 1.35/1.51 assert (zenon_L844_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_Hf1 zenon_H4d zenon_H85 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H185 zenon_H182 zenon_H62 zenon_H60 zenon_H47 zenon_H2ac zenon_H227 zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H99 zenon_H9b zenon_H9f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L45_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.51 apply (zenon_L309_); trivial. % 1.35/1.51 apply (zenon_L843_); trivial. % 1.35/1.51 (* end of lemma zenon_L844_ *) % 1.35/1.51 assert (zenon_L845_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H62 zenon_H60 zenon_H47 zenon_H26 zenon_H1e zenon_H1c zenon_H2ac zenon_H227 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101 zenon_H1ad zenon_Hdc zenon_H218 zenon_H217 zenon_H216 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_Heb. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.51 apply (zenon_L272_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.51 apply (zenon_L67_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.35/1.51 apply (zenon_L842_); trivial. % 1.35/1.51 apply (zenon_L743_); trivial. % 1.35/1.51 (* end of lemma zenon_L845_ *) % 1.35/1.51 assert (zenon_L846_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4c zenon_H169 zenon_Hf1 zenon_H4d zenon_H85 zenon_Hc0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H185 zenon_H182 zenon_H62 zenon_H60 zenon_H47 zenon_H2ac zenon_H227 zenon_H190 zenon_H3 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H99 zenon_H9b zenon_H9f zenon_Heb zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_Hdc zenon_H1ad zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H88 zenon_H16a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.35/1.51 apply (zenon_L844_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L45_); trivial. % 1.35/1.51 apply (zenon_L845_); trivial. % 1.35/1.51 apply (zenon_L77_); trivial. % 1.35/1.51 (* end of lemma zenon_L846_ *) % 1.35/1.51 assert (zenon_L847_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H50 zenon_H169 zenon_H4d zenon_H85 zenon_Hc0 zenon_H245 zenon_H185 zenon_H182 zenon_H62 zenon_H60 zenon_H47 zenon_H2ac zenon_H227 zenon_H190 zenon_H3 zenon_H33 zenon_H1ad zenon_H101 zenon_Hff zenon_H103 zenon_H16a zenon_H9f zenon_H9b zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H161 zenon_He7 zenon_H218 zenon_H217 zenon_H216 zenon_H2b zenon_H26f zenon_H88 zenon_Hf1. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L841_); trivial. % 1.35/1.51 apply (zenon_L846_); trivial. % 1.35/1.51 (* end of lemma zenon_L847_ *) % 1.35/1.51 assert (zenon_L848_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H47 zenon_H33 zenon_H9f zenon_H9b zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H161 zenon_He7 zenon_H218 zenon_H217 zenon_H216 zenon_H2b zenon_H26f zenon_H88 zenon_Hf1. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L841_); trivial. % 1.35/1.51 apply (zenon_L836_); trivial. % 1.35/1.51 (* end of lemma zenon_L848_ *) % 1.35/1.51 assert (zenon_L849_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_H88 zenon_H26f zenon_H2b zenon_H216 zenon_H217 zenon_H218 zenon_He7 zenon_H161 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_Hba zenon_H80 zenon_Heb zenon_H99 zenon_H9b zenon_H9f zenon_H16a zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_H33 zenon_H190 zenon_H227 zenon_H2ac zenon_H47 zenon_H60 zenon_H62 zenon_H182 zenon_H185 zenon_H245 zenon_Hc0 zenon_H85 zenon_H4d zenon_H169 zenon_H50. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.51 apply (zenon_L847_); trivial. % 1.35/1.51 apply (zenon_L848_); trivial. % 1.35/1.51 (* end of lemma zenon_L849_ *) % 1.35/1.51 assert (zenon_L850_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H85 zenon_H271 zenon_Hb zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H124 zenon_Hff zenon_H1b2 zenon_H22b. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.35/1.51 apply (zenon_L321_); trivial. % 1.35/1.51 apply (zenon_L737_); trivial. % 1.35/1.51 (* end of lemma zenon_L850_ *) % 1.35/1.51 assert (zenon_L851_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H62 zenon_H60 zenon_H130 zenon_Hba zenon_H22b zenon_H1b2 zenon_Hff zenon_H124 zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hb zenon_H271 zenon_H85. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L850_); trivial. % 1.35/1.51 apply (zenon_L738_); trivial. % 1.35/1.51 (* end of lemma zenon_L851_ *) % 1.35/1.51 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H4c zenon_H169 zenon_Hf1 zenon_H88 zenon_H85 zenon_Hc0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_Heb zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H216 zenon_H217 zenon_H218 zenon_Hdc zenon_H1ad zenon_H101 zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H227 zenon_H2ac zenon_H47 zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H16a. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.35/1.51 apply (zenon_L742_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L175_); trivial. % 1.35/1.51 apply (zenon_L845_); trivial. % 1.35/1.51 apply (zenon_L77_); trivial. % 1.35/1.51 (* end of lemma zenon_L852_ *) % 1.35/1.51 assert (zenon_L853_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H227 zenon_H47 zenon_H33 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H116 zenon_H115 zenon_H11f zenon_H124 zenon_Hff zenon_H1b2 zenon_H22b zenon_Hba zenon_H130 zenon_H60 zenon_H62 zenon_H88 zenon_Hf1. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L851_); trivial. % 1.35/1.51 apply (zenon_L836_); trivial. % 1.35/1.51 (* end of lemma zenon_L853_ *) % 1.35/1.51 assert (zenon_L854_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H132 zenon_H189 zenon_H33 zenon_Hf1 zenon_H88 zenon_H62 zenon_H60 zenon_H130 zenon_Hba zenon_H22b zenon_H1b2 zenon_Hff zenon_H124 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85 zenon_H16a zenon_H185 zenon_H182 zenon_H190 zenon_H47 zenon_H2ac zenon_H227 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_H101 zenon_H1ad zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_Heb zenon_Hc0 zenon_H169 zenon_H50. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L851_); trivial. % 1.35/1.51 apply (zenon_L852_); trivial. % 1.35/1.51 apply (zenon_L853_); trivial. % 1.35/1.51 (* end of lemma zenon_L854_ *) % 1.35/1.51 assert (zenon_L855_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1b6 zenon_H98 zenon_H231 zenon_H24c zenon_H93 zenon_Hf1 zenon_H88 zenon_H26f zenon_H2b zenon_He7 zenon_H161 zenon_H271 zenon_H7d zenon_Hc7 zenon_Hdc zenon_Hba zenon_H80 zenon_Heb zenon_H9b zenon_H9f zenon_H16a zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_H190 zenon_H2ac zenon_H62 zenon_H182 zenon_H185 zenon_Hc0 zenon_H85 zenon_H169 zenon_H1c8 zenon_H124 zenon_H1b2 zenon_H22b zenon_H130 zenon_H16b zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H7 zenon_H2d zenon_H202 zenon_H168. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.51 apply (zenon_L838_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.51 apply (zenon_L849_); trivial. % 1.35/1.51 apply (zenon_L854_); trivial. % 1.35/1.51 apply (zenon_L750_); trivial. % 1.35/1.51 (* end of lemma zenon_L855_ *) % 1.35/1.51 assert (zenon_L856_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L751_); trivial. % 1.35/1.51 apply (zenon_L836_); trivial. % 1.35/1.51 (* end of lemma zenon_L856_ *) % 1.35/1.51 assert (zenon_L857_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H1 zenon_H5 zenon_H7. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.51 apply (zenon_L4_); trivial. % 1.35/1.51 apply (zenon_L856_); trivial. % 1.35/1.51 (* end of lemma zenon_L857_ *) % 1.35/1.51 assert (zenon_L858_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H7 zenon_H5 zenon_H185 zenon_H182 zenon_H174 zenon_H175 zenon_H176 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H47 zenon_H245 zenon_H227 zenon_H4d zenon_H50 zenon_H189. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.51 apply (zenon_L857_); trivial. % 1.35/1.51 apply (zenon_L724_); trivial. % 1.35/1.51 (* end of lemma zenon_L858_ *) % 1.35/1.51 assert (zenon_L859_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp8)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.35/1.51 do 0 intro. intros zenon_Hed zenon_H161 zenon_H7d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H218 zenon_H217 zenon_H216 zenon_H1a3 zenon_H9 zenon_H176 zenon_H175 zenon_H93 zenon_H60. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.35/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.35/1.51 apply (zenon_L59_); trivial. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.35/1.51 apply (zenon_L268_); trivial. % 1.35/1.51 apply (zenon_L150_); trivial. % 1.35/1.51 (* end of lemma zenon_L859_ *) % 1.35/1.51 assert (zenon_L860_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.35/1.51 do 0 intro. intros zenon_Heb zenon_H161 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.51 apply (zenon_L726_); trivial. % 1.35/1.51 apply (zenon_L859_); trivial. % 1.35/1.51 (* end of lemma zenon_L860_ *) % 1.35/1.51 assert (zenon_L861_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H50 zenon_H169 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_Heb zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H101 zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H1a3 zenon_H9 zenon_H93 zenon_H16a zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H124 zenon_Hff zenon_H1b2 zenon_H22b zenon_Hba zenon_H130 zenon_H60 zenon_H62 zenon_H88 zenon_Hf1. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L851_); trivial. % 1.35/1.51 apply (zenon_L773_); trivial. % 1.35/1.51 (* end of lemma zenon_L861_ *) % 1.35/1.51 assert (zenon_L862_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c0_1 (a450))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1b7 zenon_H98 zenon_H231 zenon_H24c zenon_H189 zenon_H174 zenon_Heb zenon_H161 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H1a3 zenon_H218 zenon_H217 zenon_H216 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_H88 zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_Hba zenon_H80 zenon_H9f zenon_H9b zenon_H33 zenon_H190 zenon_H227 zenon_H2ac zenon_H47 zenon_H62 zenon_H182 zenon_H185 zenon_H245 zenon_Hc0 zenon_H85 zenon_H4d zenon_Hf1 zenon_H169 zenon_H50 zenon_H1c8 zenon_H124 zenon_H1b2 zenon_H22b zenon_H130 zenon_H16b. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L860_); trivial. % 1.35/1.51 apply (zenon_L846_); trivial. % 1.35/1.51 apply (zenon_L755_); trivial. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.51 apply (zenon_L861_); trivial. % 1.35/1.51 apply (zenon_L774_); trivial. % 1.35/1.51 apply (zenon_L750_); trivial. % 1.35/1.51 (* end of lemma zenon_L862_ *) % 1.35/1.51 assert (zenon_L863_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.35/1.51 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H99 zenon_H9b zenon_H9f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L45_); trivial. % 1.35/1.51 apply (zenon_L783_); trivial. % 1.35/1.51 (* end of lemma zenon_L863_ *) % 1.35/1.51 assert (zenon_L864_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.51 apply (zenon_L691_); trivial. % 1.35/1.51 apply (zenon_L779_); trivial. % 1.35/1.51 (* end of lemma zenon_L864_ *) % 1.35/1.51 assert (zenon_L865_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1b2 zenon_H22b zenon_H9f zenon_H9b zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H130 zenon_H88 zenon_Hf1. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.51 apply (zenon_L863_); trivial. % 1.35/1.51 apply (zenon_L864_); trivial. % 1.35/1.51 (* end of lemma zenon_L865_ *) % 1.35/1.51 assert (zenon_L866_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H9b zenon_H9f zenon_H22b zenon_H1b2 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H16b. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.51 apply (zenon_L865_); trivial. % 1.35/1.51 apply (zenon_L724_); trivial. % 1.35/1.51 (* end of lemma zenon_L866_ *) % 1.35/1.51 assert (zenon_L867_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_Hf1 zenon_H88 zenon_H130 zenon_Hba zenon_H1ca zenon_H9b zenon_H9f zenon_H22b zenon_H1b2 zenon_H1c8 zenon_H16b zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H7 zenon_H2d zenon_H202 zenon_H168. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.51 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.51 apply (zenon_L838_); trivial. % 1.35/1.51 apply (zenon_L866_); trivial. % 1.35/1.51 (* end of lemma zenon_L867_ *) % 1.35/1.51 assert (zenon_L868_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.51 do 0 intro. intros zenon_H50 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H161 zenon_Heb. % 1.35/1.51 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.51 apply (zenon_L860_); trivial. % 1.35/1.51 apply (zenon_L295_); trivial. % 1.35/1.51 (* end of lemma zenon_L868_ *) % 1.35/1.51 assert (zenon_L869_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (ndr1_0) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H4d zenon_H1c8 zenon_H9d zenon_Hc5 zenon_H289 zenon_H28b zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H10 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.52 apply (zenon_L309_); trivial. % 1.35/1.52 apply (zenon_L628_); trivial. % 1.35/1.52 (* end of lemma zenon_L869_ *) % 1.35/1.52 assert (zenon_L870_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.35/1.52 do 0 intro. intros zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H1b zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H31. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.35/1.52 apply (zenon_L115_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.35/1.52 apply (zenon_L268_); trivial. % 1.35/1.52 exact (zenon_H31 zenon_H32). % 1.35/1.52 (* end of lemma zenon_L870_ *) % 1.35/1.52 assert (zenon_L871_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(c3_1 (a509))) -> (~(c2_1 (a509))) -> (~(c0_1 (a509))) -> (ndr1_0) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp28)) -> False). % 1.35/1.52 do 0 intro. intros zenon_H299 zenon_H290 zenon_H28f zenon_H28e zenon_H10 zenon_H216 zenon_H217 zenon_H218 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_H31. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H28d | zenon_intro zenon_H29a ]. % 1.35/1.52 apply (zenon_L532_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H32 ]. % 1.35/1.52 apply (zenon_L870_); trivial. % 1.35/1.52 exact (zenon_H31 zenon_H32). % 1.35/1.52 (* end of lemma zenon_L871_ *) % 1.35/1.52 assert (zenon_L872_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp24)) -> (~(hskp26)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H29b zenon_H4d zenon_H103 zenon_H51 zenon_Hc5 zenon_H7d zenon_Hc7 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H26 zenon_H1e zenon_H1c zenon_H299. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.52 apply (zenon_L871_); trivial. % 1.35/1.52 apply (zenon_L69_); trivial. % 1.35/1.52 (* end of lemma zenon_L872_ *) % 1.35/1.52 assert (zenon_L873_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp24)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H29e zenon_H103 zenon_H51 zenon_H7d zenon_Hc7 zenon_H299 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H28b zenon_Hc5 zenon_H9d zenon_H1c8 zenon_H4d. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.35/1.52 apply (zenon_L869_); trivial. % 1.35/1.52 apply (zenon_L872_); trivial. % 1.35/1.52 (* end of lemma zenon_L873_ *) % 1.35/1.52 assert (zenon_L874_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H88 zenon_H80 zenon_H29e zenon_H103 zenon_H7d zenon_Hc7 zenon_H299 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H28b zenon_H9d zenon_H1c8 zenon_H4d zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H161 zenon_Heb. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.52 apply (zenon_L873_); trivial. % 1.35/1.52 apply (zenon_L859_); trivial. % 1.35/1.52 apply (zenon_L141_); trivial. % 1.35/1.52 (* end of lemma zenon_L874_ *) % 1.35/1.52 assert (zenon_L875_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H50 zenon_Hf1 zenon_H130 zenon_H2d zenon_H202 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1 zenon_H1ca zenon_H4d zenon_H1c8 zenon_H28b zenon_H190 zenon_H3 zenon_H33 zenon_H299 zenon_H103 zenon_H29e zenon_H80 zenon_H88 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H161 zenon_Heb. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L860_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.52 apply (zenon_L874_); trivial. % 1.35/1.52 apply (zenon_L783_); trivial. % 1.35/1.52 (* end of lemma zenon_L875_ *) % 1.35/1.52 assert (zenon_L876_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H88 zenon_H29e zenon_H103 zenon_H7d zenon_Hc7 zenon_H299 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H28b zenon_H9d zenon_H1c8 zenon_H4d zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hdc zenon_Heb. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.52 apply (zenon_L873_); trivial. % 1.35/1.52 apply (zenon_L162_); trivial. % 1.35/1.52 apply (zenon_L39_); trivial. % 1.35/1.52 (* end of lemma zenon_L876_ *) % 1.35/1.52 assert (zenon_L877_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hdc zenon_Heb. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L745_); trivial. % 1.35/1.52 apply (zenon_L836_); trivial. % 1.35/1.52 (* end of lemma zenon_L877_ *) % 1.35/1.52 assert (zenon_L878_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H95 zenon_H189 zenon_H227 zenon_H245 zenon_H47 zenon_Heb zenon_Hdc zenon_H9 zenon_H93 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H88 zenon_H29e zenon_H103 zenon_H299 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H28b zenon_H1c8 zenon_H4d zenon_H1ca zenon_H1 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H202 zenon_H2d zenon_H130 zenon_Hf1 zenon_H50. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L745_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.52 apply (zenon_L876_); trivial. % 1.35/1.52 apply (zenon_L783_); trivial. % 1.35/1.52 apply (zenon_L877_); trivial. % 1.35/1.52 (* end of lemma zenon_L878_ *) % 1.35/1.52 assert (zenon_L879_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_Heb zenon_H161 zenon_H93 zenon_H1a3 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H271 zenon_H88 zenon_H80 zenon_H29e zenon_H103 zenon_H299 zenon_H190 zenon_H28b zenon_H1c8 zenon_H1ca zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H130 zenon_Hf1 zenon_H98 zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H7 zenon_H2d zenon_H202 zenon_H168. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.52 apply (zenon_L838_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_L875_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L860_); trivial. % 1.35/1.52 apply (zenon_L836_); trivial. % 1.35/1.52 apply (zenon_L878_); trivial. % 1.35/1.52 apply (zenon_L724_); trivial. % 1.35/1.52 (* end of lemma zenon_L879_ *) % 1.35/1.52 assert (zenon_L880_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H88 zenon_H80 zenon_H29e zenon_H103 zenon_H299 zenon_H28b zenon_H1c8 zenon_H1ca zenon_Hba zenon_H130 zenon_Hf1 zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H168 zenon_H202 zenon_H2d zenon_H7 zenon_Hd zenon_H9 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H47 zenon_H245 zenon_H227 zenon_H4d zenon_H50 zenon_H189 zenon_Heb zenon_H161 zenon_H93 zenon_H1a3 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H271 zenon_H190 zenon_H185 zenon_H24c zenon_H231 zenon_H98 zenon_H1b6 zenon_H1d0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.52 apply (zenon_L786_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.52 apply (zenon_L838_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_L868_); trivial. % 1.35/1.52 apply (zenon_L423_); trivial. % 1.35/1.52 apply (zenon_L750_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.52 apply (zenon_L786_); trivial. % 1.35/1.52 apply (zenon_L879_); trivial. % 1.35/1.52 (* end of lemma zenon_L880_ *) % 1.35/1.52 assert (zenon_L881_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H247 zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H218 zenon_H217 zenon_H216 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.35/1.52 apply (zenon_L229_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.35/1.52 apply (zenon_L268_); trivial. % 1.35/1.52 apply (zenon_L815_); trivial. % 1.35/1.52 (* end of lemma zenon_L881_ *) % 1.35/1.52 assert (zenon_L882_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(hskp26)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H24c zenon_H161 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_Hc5 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.35/1.52 apply (zenon_L820_); trivial. % 1.35/1.52 apply (zenon_L881_); trivial. % 1.35/1.52 (* end of lemma zenon_L882_ *) % 1.35/1.52 assert (zenon_L883_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H95 zenon_Heb zenon_H9 zenon_H93 zenon_H231 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H216 zenon_H217 zenon_H218 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H161 zenon_H24c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.35/1.52 apply (zenon_L335_); trivial. % 1.35/1.52 apply (zenon_L881_); trivial. % 1.35/1.52 apply (zenon_L342_); trivial. % 1.35/1.52 (* end of lemma zenon_L883_ *) % 1.35/1.52 assert (zenon_L884_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1d1 zenon_H98 zenon_H24c zenon_H161 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H218 zenon_H217 zenon_H216 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H1a3 zenon_H9 zenon_H93 zenon_Heb. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.52 apply (zenon_L882_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.35/1.52 apply (zenon_L229_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.35/1.52 apply (zenon_L268_); trivial. % 1.35/1.52 apply (zenon_L150_); trivial. % 1.35/1.52 apply (zenon_L883_); trivial. % 1.35/1.52 (* end of lemma zenon_L884_ *) % 1.35/1.52 assert (zenon_L885_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1d0 zenon_H24c zenon_H231 zenon_Heb zenon_H168 zenon_H202 zenon_H7 zenon_Hd zenon_H9 zenon_H33 zenon_H2d zenon_H2f zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H98 zenon_H1ca zenon_H93 zenon_Hf1 zenon_H26f zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H9b zenon_H9f zenon_H169 zenon_H161 zenon_Hc0 zenon_H101 zenon_H227 zenon_H2ac zenon_H190 zenon_H182 zenon_H185 zenon_H1a3 zenon_H16a zenon_H85 zenon_H271 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H124 zenon_Hff zenon_H1b2 zenon_H22b zenon_Hba zenon_H130 zenon_H62 zenon_H88 zenon_H16b zenon_H1b4 zenon_H1b6. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.52 apply (zenon_L725_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.52 apply (zenon_L802_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L851_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.35/1.52 apply (zenon_L742_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.52 apply (zenon_L175_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.52 apply (zenon_L67_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.35/1.52 apply (zenon_L842_); trivial. % 1.35/1.52 apply (zenon_L231_); trivial. % 1.35/1.52 apply (zenon_L551_); trivial. % 1.35/1.52 apply (zenon_L853_); trivial. % 1.35/1.52 apply (zenon_L327_); trivial. % 1.35/1.52 apply (zenon_L331_); trivial. % 1.35/1.52 apply (zenon_L884_); trivial. % 1.35/1.52 (* end of lemma zenon_L885_ *) % 1.35/1.52 assert (zenon_L886_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H16b zenon_H88 zenon_H130 zenon_H2d zenon_H202 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b zenon_H9f zenon_H9b zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2b zenon_H26f zenon_Hf1. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.52 apply (zenon_L802_); trivial. % 1.35/1.52 apply (zenon_L864_); trivial. % 1.35/1.52 (* end of lemma zenon_L886_ *) % 1.35/1.52 assert (zenon_L887_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H98 zenon_H24c zenon_H161 zenon_H245 zenon_H231 zenon_H1a3 zenon_H9 zenon_H93 zenon_Heb zenon_Hf1 zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H9b zenon_H9f zenon_H22b zenon_H1b2 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_Hba zenon_H202 zenon_H2d zenon_H130 zenon_H88 zenon_H16b. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.52 apply (zenon_L886_); trivial. % 1.35/1.52 apply (zenon_L884_); trivial. % 1.35/1.52 (* end of lemma zenon_L887_ *) % 1.35/1.52 assert (zenon_L888_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1ef zenon_H1d0 zenon_H98 zenon_H24c zenon_H161 zenon_H245 zenon_H218 zenon_H217 zenon_H216 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H1a3 zenon_H9 zenon_H93 zenon_Heb zenon_H2bb zenon_H2bc zenon_H2bd zenon_H26f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.52 apply (zenon_L786_); trivial. % 1.35/1.52 apply (zenon_L884_); trivial. % 1.35/1.52 (* end of lemma zenon_L888_ *) % 1.35/1.52 assert (zenon_L889_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.52 apply (zenon_L348_); trivial. % 1.35/1.52 apply (zenon_L724_); trivial. % 1.35/1.52 (* end of lemma zenon_L889_ *) % 1.35/1.52 assert (zenon_L890_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp25)) -> False). % 1.35/1.52 do 0 intro. intros zenon_H46 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H13c. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.35/1.52 apply (zenon_L719_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H35 | zenon_intro zenon_H268 ]. % 1.35/1.52 apply (zenon_L720_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H251 | zenon_intro zenon_H13d ]. % 1.35/1.52 apply (zenon_L347_); trivial. % 1.35/1.52 exact (zenon_H13c zenon_H13d). % 1.35/1.52 apply (zenon_L353_); trivial. % 1.35/1.52 (* end of lemma zenon_L890_ *) % 1.35/1.52 assert (zenon_L891_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H185 zenon_H182 zenon_H62 zenon_H60 zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H14 zenon_H13 zenon_H12 zenon_H2ac zenon_H103 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H85 zenon_H142 zenon_H19b zenon_H152. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.52 apply (zenon_L754_); trivial. % 1.35/1.52 apply (zenon_L890_); trivial. % 1.35/1.52 apply (zenon_L125_); trivial. % 1.35/1.52 apply (zenon_L506_); trivial. % 1.35/1.52 (* end of lemma zenon_L891_ *) % 1.35/1.52 assert (zenon_L892_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp26)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H4d zenon_H1ad zenon_Hc5 zenon_Hc7 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H128 zenon_H126 zenon_H9d zenon_H155 zenon_H156 zenon_H252 zenon_H253 zenon_H254 zenon_H7d zenon_Hdc zenon_H33. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.35/1.52 apply (zenon_L9_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.35/1.52 apply (zenon_L367_); trivial. % 1.35/1.52 exact (zenon_H31 zenon_H32). % 1.35/1.52 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.35/1.52 apply (zenon_L367_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.35/1.52 apply (zenon_L368_); trivial. % 1.35/1.52 apply (zenon_L68_); trivial. % 1.35/1.52 (* end of lemma zenon_L892_ *) % 1.35/1.52 assert (zenon_L893_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_Heb zenon_H5 zenon_H275 zenon_H80 zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H33 zenon_Hdc zenon_H7d zenon_H254 zenon_H253 zenon_H252 zenon_H156 zenon_H155 zenon_H9d zenon_H126 zenon_H128 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_Hc7 zenon_H1ad zenon_H4d. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.52 apply (zenon_L892_); trivial. % 1.35/1.52 apply (zenon_L764_); trivial. % 1.35/1.52 (* end of lemma zenon_L893_ *) % 1.35/1.52 assert (zenon_L894_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H98 zenon_H13e zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H4d zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H62 zenon_H33 zenon_H2ac zenon_H103 zenon_H7d zenon_H80 zenon_H85 zenon_H142 zenon_H19b zenon_H152 zenon_H9b zenon_H9f zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H5 zenon_H7 zenon_H128 zenon_H126 zenon_H1a5 zenon_Hba zenon_H16b zenon_H1ad zenon_Hc7 zenon_Hdc zenon_H275 zenon_Heb zenon_H16c. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L751_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.52 apply (zenon_L45_); trivial. % 1.35/1.52 apply (zenon_L891_); trivial. % 1.35/1.52 apply (zenon_L758_); trivial. % 1.35/1.52 apply (zenon_L508_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_L4_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L751_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.52 apply (zenon_L893_); trivial. % 1.35/1.52 apply (zenon_L891_); trivial. % 1.35/1.52 apply (zenon_L508_); trivial. % 1.35/1.52 apply (zenon_L724_); trivial. % 1.35/1.52 (* end of lemma zenon_L894_ *) % 1.35/1.52 assert (zenon_L895_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp20)) -> False). % 1.35/1.52 do 0 intro. intros zenon_H14d zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hb. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H6e | zenon_intro zenon_H272 ]. % 1.35/1.52 apply (zenon_L96_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hc ]. % 1.35/1.52 apply (zenon_L719_); trivial. % 1.35/1.52 exact (zenon_Hb zenon_Hc). % 1.35/1.52 (* end of lemma zenon_L895_ *) % 1.35/1.52 assert (zenon_L896_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H152 zenon_H271 zenon_Hb zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1 zenon_H1ca zenon_Heb. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.52 apply (zenon_L726_); trivial. % 1.35/1.52 apply (zenon_L392_); trivial. % 1.35/1.52 apply (zenon_L895_); trivial. % 1.35/1.52 (* end of lemma zenon_L896_ *) % 1.35/1.52 assert (zenon_L897_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H4d zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H13c zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_Hff zenon_H101. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.35/1.52 apply (zenon_L67_); trivial. % 1.35/1.52 apply (zenon_L890_); trivial. % 1.35/1.52 (* end of lemma zenon_L897_ *) % 1.35/1.52 assert (zenon_L898_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H14d zenon_H227 zenon_H1e zenon_H1c zenon_H26 zenon_H7d zenon_H80. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.35/1.52 apply (zenon_L124_); trivial. % 1.35/1.52 apply (zenon_L20_); trivial. % 1.35/1.52 (* end of lemma zenon_L898_ *) % 1.35/1.52 assert (zenon_L899_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H16e zenon_H152 zenon_H227 zenon_H1e zenon_H1c zenon_H26 zenon_H7d zenon_H80 zenon_H101 zenon_Hff zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H4d. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.35/1.52 apply (zenon_L897_); trivial. % 1.35/1.52 apply (zenon_L898_); trivial. % 1.35/1.52 (* end of lemma zenon_L899_ *) % 1.35/1.52 assert (zenon_L900_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H4c zenon_H169 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hf1 zenon_H88 zenon_H85 zenon_Hc0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H4d zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H101 zenon_H80 zenon_H7d zenon_H227 zenon_H152 zenon_H16a. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.35/1.52 apply (zenon_L742_); trivial. % 1.35/1.52 apply (zenon_L899_); trivial. % 1.35/1.52 apply (zenon_L77_); trivial. % 1.35/1.52 (* end of lemma zenon_L900_ *) % 1.35/1.52 assert (zenon_L901_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H132 zenon_H50 zenon_H169 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H1c8 zenon_H4d zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H101 zenon_H80 zenon_H7d zenon_H227 zenon_H152 zenon_H16a zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H124 zenon_Hff zenon_H126 zenon_H128 zenon_Hba zenon_H130 zenon_H60 zenon_H62 zenon_H88 zenon_Hf1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L739_); trivial. % 1.35/1.52 apply (zenon_L900_); trivial. % 1.35/1.52 (* end of lemma zenon_L901_ *) % 1.35/1.52 assert (zenon_L902_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H152 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H182 zenon_H185. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.35/1.52 apply (zenon_L121_); trivial. % 1.35/1.52 apply (zenon_L244_); trivial. % 1.35/1.52 (* end of lemma zenon_L902_ *) % 1.35/1.52 assert (zenon_L903_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H50 zenon_H169 zenon_Hc0 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H4d zenon_H245 zenon_Hff zenon_H101 zenon_H80 zenon_H227 zenon_H16a zenon_Heb zenon_H1ca zenon_H1 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H152. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L896_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.35/1.52 apply (zenon_L902_); trivial. % 1.35/1.52 apply (zenon_L899_); trivial. % 1.35/1.52 apply (zenon_L77_); trivial. % 1.35/1.52 (* end of lemma zenon_L903_ *) % 1.35/1.52 assert (zenon_L904_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H95 zenon_H189 zenon_H88 zenon_H103 zenon_H152 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1 zenon_H1ca zenon_Heb zenon_H16a zenon_H227 zenon_H80 zenon_H101 zenon_Hff zenon_H245 zenon_H4d zenon_H185 zenon_H182 zenon_H190 zenon_H13e zenon_Hc0 zenon_H169 zenon_H50. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_L903_); trivial. % 1.35/1.52 apply (zenon_L130_); trivial. % 1.35/1.52 (* end of lemma zenon_L904_ *) % 1.35/1.52 assert (zenon_L905_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H1b4 zenon_H1b2 zenon_H16b zenon_H1c8 zenon_H227 zenon_H124 zenon_H126 zenon_H128 zenon_H130 zenon_H50 zenon_H169 zenon_H185 zenon_H182 zenon_H190 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H9f zenon_H9b zenon_H80 zenon_Hba zenon_H101 zenon_Hff zenon_H103 zenon_H4d zenon_He7 zenon_H88 zenon_Hf1 zenon_H16a zenon_Heb zenon_H1ca zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H152 zenon_H47 zenon_H245 zenon_H62 zenon_H33 zenon_H2ac zenon_H85 zenon_H189 zenon_H13e zenon_H98. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L896_); trivial. % 1.35/1.52 apply (zenon_L772_); trivial. % 1.35/1.52 apply (zenon_L755_); trivial. % 1.35/1.52 apply (zenon_L901_); trivial. % 1.35/1.52 apply (zenon_L904_); trivial. % 1.35/1.52 apply (zenon_L168_); trivial. % 1.35/1.52 (* end of lemma zenon_L905_ *) % 1.35/1.52 assert (zenon_L906_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1d1 zenon_Hf1 zenon_H88 zenon_H130 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H1a7 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H2ae zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.52 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.52 apply (zenon_L185_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.52 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.35/1.52 apply (zenon_L777_); trivial. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.35/1.52 apply (zenon_L666_); trivial. % 1.35/1.52 apply (zenon_L452_); trivial. % 1.35/1.52 apply (zenon_L778_); trivial. % 1.35/1.52 (* end of lemma zenon_L906_ *) % 1.35/1.52 assert (zenon_L907_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_Hf1 zenon_H88 zenon_H130 zenon_H1a7 zenon_Hba zenon_H2ae zenon_H126 zenon_H128 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H168. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.52 apply (zenon_L889_); trivial. % 1.35/1.52 apply (zenon_L906_); trivial. % 1.35/1.52 (* end of lemma zenon_L907_ *) % 1.35/1.52 assert (zenon_L908_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H50 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Heb zenon_H1ca zenon_H1 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H152. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.52 apply (zenon_L896_); trivial. % 1.35/1.52 apply (zenon_L295_); trivial. % 1.35/1.52 (* end of lemma zenon_L908_ *) % 1.35/1.52 assert (zenon_L909_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.35/1.52 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H1d0 zenon_Hf1 zenon_H88 zenon_H130 zenon_H1a7 zenon_Hba zenon_H2ae zenon_H126 zenon_H128 zenon_H26f zenon_H168 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H7 zenon_H185 zenon_H189 zenon_H152 zenon_H271 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ca zenon_Heb zenon_H190 zenon_H50 zenon_H1b6. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.52 apply (zenon_L787_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.52 apply (zenon_L908_); trivial. % 1.35/1.52 apply (zenon_L423_); trivial. % 1.35/1.52 apply (zenon_L724_); trivial. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.52 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.52 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.53 apply (zenon_L786_); trivial. % 1.35/1.53 apply (zenon_L906_); trivial. % 1.35/1.53 (* end of lemma zenon_L909_ *) % 1.35/1.53 assert (zenon_L910_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H168 zenon_H1ed zenon_H2d zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.53 apply (zenon_L348_); trivial. % 1.35/1.53 apply (zenon_L226_); trivial. % 1.35/1.53 (* end of lemma zenon_L910_ *) % 1.35/1.53 assert (zenon_L911_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_He7 zenon_H182 zenon_H185 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H99 zenon_H9b zenon_H9f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.53 apply (zenon_L45_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.53 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hce | zenon_intro zenon_He8 ]. % 1.35/1.53 apply (zenon_L229_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H54 | zenon_intro zenon_H9a ]. % 1.35/1.53 apply (zenon_L571_); trivial. % 1.35/1.53 exact (zenon_H99 zenon_H9a). % 1.35/1.53 (* end of lemma zenon_L911_ *) % 1.35/1.53 assert (zenon_L912_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_He7 zenon_H182 zenon_H185 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H99 zenon_H9b zenon_H9f zenon_H1 zenon_H5 zenon_H7. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.53 apply (zenon_L4_); trivial. % 1.35/1.53 apply (zenon_L911_); trivial. % 1.35/1.53 (* end of lemma zenon_L912_ *) % 1.35/1.53 assert (zenon_L913_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> False). % 1.35/1.53 do 0 intro. intros zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H67 zenon_H66 zenon_H65 zenon_H10 zenon_H20c zenon_H252 zenon_H254. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.35/1.53 apply (zenon_L777_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.35/1.53 apply (zenon_L30_); trivial. % 1.35/1.53 apply (zenon_L381_); trivial. % 1.35/1.53 (* end of lemma zenon_L913_ *) % 1.35/1.53 assert (zenon_L914_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> False). % 1.35/1.53 do 0 intro. intros zenon_H84 zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H175 zenon_H176 zenon_H174 zenon_H130 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H252 zenon_H254. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.35/1.53 apply (zenon_L65_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.35/1.53 apply (zenon_L166_); trivial. % 1.35/1.53 apply (zenon_L913_); trivial. % 1.35/1.53 (* end of lemma zenon_L914_ *) % 1.35/1.53 assert (zenon_L915_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba zenon_H174 zenon_H176 zenon_H175 zenon_H128 zenon_H126 zenon_H254 zenon_H252 zenon_H210. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.53 apply (zenon_L391_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.53 apply (zenon_L84_); trivial. % 1.35/1.53 apply (zenon_L914_); trivial. % 1.35/1.53 (* end of lemma zenon_L915_ *) % 1.35/1.53 assert (zenon_L916_ : (forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))) -> (ndr1_0) -> (c1_1 (a450)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> False). % 1.35/1.53 do 0 intro. intros zenon_H19d zenon_H10 zenon_H176 zenon_Hde zenon_H174 zenon_H175. % 1.35/1.53 generalize (zenon_H19d (a450)). zenon_intro zenon_H19e. % 1.35/1.53 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_Hf | zenon_intro zenon_H19f ]. % 1.35/1.53 exact (zenon_Hf zenon_H10). % 1.35/1.53 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H17b | zenon_intro zenon_H17f ]. % 1.35/1.53 exact (zenon_H17b zenon_H176). % 1.35/1.53 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 1.35/1.53 generalize (zenon_Hde (a450)). zenon_intro zenon_H177. % 1.35/1.53 apply (zenon_imply_s _ _ zenon_H177); [ zenon_intro zenon_Hf | zenon_intro zenon_H178 ]. % 1.35/1.53 exact (zenon_Hf zenon_H10). % 1.35/1.53 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H17a | zenon_intro zenon_H179 ]. % 1.35/1.53 exact (zenon_H174 zenon_H17a). % 1.35/1.53 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 1.35/1.53 exact (zenon_H181 zenon_H17c). % 1.35/1.53 exact (zenon_H17b zenon_H176). % 1.35/1.53 exact (zenon_H180 zenon_H175). % 1.35/1.53 (* end of lemma zenon_L916_ *) % 1.35/1.53 assert (zenon_L917_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp23)) -> (~(hskp7)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.35/1.53 do 0 intro. intros zenon_H185 zenon_H175 zenon_H174 zenon_H176 zenon_H128 zenon_H254 zenon_H253 zenon_H252 zenon_H9d zenon_H126 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H182. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.35/1.53 apply (zenon_L229_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.35/1.53 apply (zenon_L368_); trivial. % 1.35/1.53 apply (zenon_L916_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.35/1.53 apply (zenon_L9_); trivial. % 1.35/1.53 exact (zenon_H182 zenon_H183). % 1.35/1.53 (* end of lemma zenon_L917_ *) % 1.35/1.53 assert (zenon_L918_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (c0_1 (a442)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H98 zenon_H152 zenon_H1ca zenon_H13e zenon_H189 zenon_Hf1 zenon_He7 zenon_H182 zenon_H185 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H9f zenon_H1 zenon_H5 zenon_H7 zenon_H174 zenon_H175 zenon_H176 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_H202 zenon_H2d zenon_H128 zenon_H126 zenon_H254 zenon_H252 zenon_H210 zenon_H1c8 zenon_Hba zenon_H130 zenon_Hff zenon_H124 zenon_H62 zenon_H245 zenon_Hc0 zenon_H85 zenon_H88 zenon_H253 zenon_H1a7 zenon_H169 zenon_H50 zenon_H16b. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.35/1.53 apply (zenon_L912_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.35/1.53 apply (zenon_L4_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.35/1.53 apply (zenon_L751_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.35/1.53 apply (zenon_L742_); trivial. % 1.35/1.53 apply (zenon_L915_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.53 apply (zenon_L917_); trivial. % 1.35/1.53 apply (zenon_L811_); trivial. % 1.35/1.53 apply (zenon_L814_); trivial. % 1.35/1.53 (* end of lemma zenon_L918_ *) % 1.35/1.53 assert (zenon_L919_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H1ca zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H152. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.53 apply (zenon_L443_); trivial. % 1.35/1.53 apply (zenon_L724_); trivial. % 1.35/1.53 (* end of lemma zenon_L919_ *) % 1.35/1.53 assert (zenon_L920_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> False). % 1.35/1.53 do 0 intro. intros zenon_Hf2 zenon_H85 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.35/1.53 apply (zenon_L236_); trivial. % 1.35/1.53 apply (zenon_L740_); trivial. % 1.35/1.53 (* end of lemma zenon_L920_ *) % 1.35/1.53 assert (zenon_L921_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H16e zenon_H152 zenon_H1ca zenon_H1 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H101 zenon_Hff zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H4d. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.35/1.53 apply (zenon_L897_); trivial. % 1.35/1.53 apply (zenon_L442_); trivial. % 1.35/1.53 (* end of lemma zenon_L921_ *) % 1.35/1.53 assert (zenon_L922_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> False). % 1.35/1.53 do 0 intro. intros zenon_Hf2 zenon_H85 zenon_H1a7 zenon_H10a zenon_H109 zenon_H108 zenon_H62 zenon_H60 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.35/1.53 apply (zenon_L236_); trivial. % 1.35/1.53 apply (zenon_L252_); trivial. % 1.35/1.53 (* end of lemma zenon_L922_ *) % 1.35/1.53 assert (zenon_L923_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp3)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a456)) -> (c1_1 (a456)) -> False). % 1.35/1.53 do 0 intro. intros zenon_H2ae zenon_H2d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H175 zenon_H176 zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51 zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1a7 zenon_H10 zenon_H1b zenon_H234 zenon_H235. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.35/1.53 apply (zenon_L777_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.35/1.53 apply (zenon_L666_); trivial. % 1.35/1.53 apply (zenon_L337_); trivial. % 1.35/1.53 (* end of lemma zenon_L923_ *) % 1.35/1.53 assert (zenon_L924_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (c1_1 (a450)) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (c3_1 (a450)) -> False). % 1.35/1.53 do 0 intro. intros zenon_H1a7 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_Hcf zenon_Hd0 zenon_H64 zenon_Hcd zenon_H10 zenon_H176 zenon_H89 zenon_H175. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.35/1.53 apply (zenon_L172_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.35/1.53 apply (zenon_L71_); trivial. % 1.35/1.53 apply (zenon_L137_); trivial. % 1.35/1.53 (* end of lemma zenon_L924_ *) % 1.35/1.53 assert (zenon_L925_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.35/1.53 do 0 intro. intros zenon_Hed zenon_H130 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H1a7 zenon_H176 zenon_H175 zenon_H202 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2d zenon_H2ae zenon_H1ba zenon_H1bc zenon_H1bb. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.35/1.53 apply (zenon_L777_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.35/1.53 apply (zenon_L777_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.35/1.53 apply (zenon_L924_); trivial. % 1.35/1.53 apply (zenon_L452_); trivial. % 1.35/1.53 apply (zenon_L184_); trivial. % 1.35/1.53 (* end of lemma zenon_L925_ *) % 1.35/1.53 assert (zenon_L926_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H98 zenon_H88 zenon_H24c zenon_H1ce zenon_H202 zenon_H2d zenon_Hba zenon_H2ae zenon_H231 zenon_H130 zenon_Heb zenon_H16a zenon_H152 zenon_H1ca zenon_H101 zenon_Hff zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H4d zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H163 zenon_H142 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hc0 zenon_H85 zenon_Hf1 zenon_H1a7 zenon_H169 zenon_H168. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.53 apply (zenon_L185_); trivial. % 1.35/1.53 apply (zenon_L920_); trivial. % 1.35/1.53 apply (zenon_L921_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.53 apply (zenon_L185_); trivial. % 1.35/1.53 apply (zenon_L922_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.53 apply (zenon_L185_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.35/1.53 apply (zenon_L335_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.35/1.53 apply (zenon_L746_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.35/1.53 apply (zenon_L923_); trivial. % 1.35/1.53 exact (zenon_H5 zenon_H6). % 1.35/1.53 apply (zenon_L925_); trivial. % 1.35/1.53 apply (zenon_L778_); trivial. % 1.35/1.53 apply (zenon_L724_); trivial. % 1.35/1.53 apply (zenon_L784_); trivial. % 1.35/1.53 (* end of lemma zenon_L926_ *) % 1.35/1.53 assert (zenon_L927_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H1b6 zenon_H1ca zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H152 zenon_H189 zenon_H185 zenon_H182 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H7 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H168. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.53 apply (zenon_L787_); trivial. % 1.35/1.53 apply (zenon_L919_); trivial. % 1.35/1.53 (* end of lemma zenon_L927_ *) % 1.35/1.53 assert (zenon_L928_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp13)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp3)) -> False). % 1.35/1.53 do 0 intro. intros zenon_H247 zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H5 zenon_H2ae zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H175 zenon_H176 zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51 zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1a7 zenon_H1ce zenon_H2d. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ee ]. % 1.35/1.53 apply (zenon_L223_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.35/1.53 apply (zenon_L60_); trivial. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.35/1.53 apply (zenon_L923_); trivial. % 1.35/1.53 exact (zenon_H5 zenon_H6). % 1.35/1.53 exact (zenon_H2d zenon_H2e). % 1.35/1.53 (* end of lemma zenon_L928_ *) % 1.35/1.53 assert (zenon_L929_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H95 zenon_Hf1 zenon_H88 zenon_H24c zenon_H1ed zenon_H2ae zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H176 zenon_H175 zenon_H1a7 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H5 zenon_H1ce zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H231 zenon_H130 zenon_Heb zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.53 apply (zenon_L185_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.35/1.53 apply (zenon_L335_); trivial. % 1.35/1.53 apply (zenon_L928_); trivial. % 1.35/1.53 apply (zenon_L925_); trivial. % 1.35/1.53 apply (zenon_L778_); trivial. % 1.35/1.53 (* end of lemma zenon_L929_ *) % 1.35/1.53 assert (zenon_L930_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H168 zenon_H1ca zenon_Hf1 zenon_H88 zenon_H24c zenon_H1ed zenon_H2ae zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H1a7 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H1ce zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H1a3 zenon_H130 zenon_Heb zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H98. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.35/1.53 apply (zenon_L185_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.35/1.53 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.35/1.53 apply (zenon_L820_); trivial. % 1.35/1.53 apply (zenon_L928_); trivial. % 1.35/1.53 apply (zenon_L925_); trivial. % 1.35/1.53 apply (zenon_L778_); trivial. % 1.35/1.53 apply (zenon_L929_); trivial. % 1.35/1.53 apply (zenon_L784_); trivial. % 1.35/1.53 (* end of lemma zenon_L930_ *) % 1.35/1.53 assert (zenon_L931_ : ((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H24e zenon_H215 zenon_H1ed zenon_H1a3 zenon_H1dd zenon_H24c zenon_H1ce zenon_H2ae zenon_H231 zenon_Heb zenon_H101 zenon_H4d zenon_H163 zenon_H168 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H16b zenon_H50 zenon_H169 zenon_H1a7 zenon_H88 zenon_H85 zenon_Hc0 zenon_H245 zenon_H62 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H1c8 zenon_H210 zenon_H126 zenon_H128 zenon_H16a zenon_H271 zenon_H7 zenon_H9f zenon_H185 zenon_He7 zenon_Hf1 zenon_H189 zenon_H13e zenon_H1ca zenon_H152 zenon_H98 zenon_H267 zenon_H1b6 zenon_H1d0 zenon_H26f zenon_H1f2. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.53 apply (zenon_L889_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.53 apply (zenon_L918_); trivial. % 1.35/1.53 apply (zenon_L724_); trivial. % 1.35/1.53 apply (zenon_L919_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.53 apply (zenon_L889_); trivial. % 1.35/1.53 apply (zenon_L926_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.53 apply (zenon_L927_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.53 apply (zenon_L786_); trivial. % 1.35/1.53 apply (zenon_L926_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.53 apply (zenon_L889_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.35/1.53 apply (zenon_L918_); trivial. % 1.35/1.53 apply (zenon_L226_); trivial. % 1.35/1.53 apply (zenon_L919_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.53 apply (zenon_L910_); trivial. % 1.35/1.53 apply (zenon_L930_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.35/1.53 apply (zenon_L927_); trivial. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.35/1.53 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.35/1.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.35/1.53 apply (zenon_L786_); trivial. % 1.35/1.53 apply (zenon_L930_); trivial. % 1.35/1.53 (* end of lemma zenon_L931_ *) % 1.35/1.53 assert (zenon_L932_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.35/1.53 do 0 intro. intros zenon_H132 zenon_H50 zenon_H169 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H4d zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H101 zenon_H80 zenon_H7d zenon_H227 zenon_H152 zenon_H16a zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H124 zenon_Hff zenon_H1b2 zenon_H22b zenon_Hba zenon_H130 zenon_H60 zenon_H62 zenon_H88 zenon_Hf1. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.39/1.53 apply (zenon_L851_); trivial. % 1.39/1.53 apply (zenon_L900_); trivial. % 1.39/1.53 (* end of lemma zenon_L932_ *) % 1.39/1.53 assert (zenon_L933_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H1d0 zenon_H1b6 zenon_H1b4 zenon_H16b zenon_H1c8 zenon_H124 zenon_H1b2 zenon_H22b zenon_H130 zenon_H169 zenon_Hf1 zenon_H85 zenon_Hc0 zenon_H62 zenon_H2ac zenon_H190 zenon_H9b zenon_H9f zenon_H80 zenon_Hba zenon_H1ad zenon_H101 zenon_Hff zenon_H103 zenon_H88 zenon_H16a zenon_Heb zenon_H1ca zenon_H267 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H152 zenon_H13e zenon_H98 zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H271 zenon_H182 zenon_H185 zenon_H7 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H168. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.39/1.53 apply (zenon_L889_); trivial. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.39/1.53 apply (zenon_L858_); trivial. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.39/1.53 apply (zenon_L896_); trivial. % 1.39/1.53 apply (zenon_L846_); trivial. % 1.39/1.53 apply (zenon_L856_); trivial. % 1.39/1.53 apply (zenon_L932_); trivial. % 1.39/1.53 apply (zenon_L904_); trivial. % 1.39/1.53 apply (zenon_L168_); trivial. % 1.39/1.53 (* end of lemma zenon_L933_ *) % 1.39/1.53 assert (zenon_L934_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H184 zenon_H4d zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.39/1.53 apply (zenon_L297_); trivial. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.39/1.53 apply (zenon_L834_); trivial. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.39/1.53 apply (zenon_L184_); trivial. % 1.39/1.53 exact (zenon_H1b2 zenon_H1b3). % 1.39/1.53 (* end of lemma zenon_L934_ *) % 1.39/1.53 assert (zenon_L935_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H189 zenon_H4d zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1 zenon_H5 zenon_H7. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.39/1.53 apply (zenon_L4_); trivial. % 1.39/1.53 apply (zenon_L934_); trivial. % 1.39/1.53 (* end of lemma zenon_L935_ *) % 1.39/1.53 assert (zenon_L936_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H168 zenon_H1b4 zenon_H175 zenon_H176 zenon_H174 zenon_H7 zenon_H5 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b zenon_H4d zenon_H189. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.39/1.53 apply (zenon_L935_); trivial. % 1.39/1.53 apply (zenon_L168_); trivial. % 1.39/1.53 (* end of lemma zenon_L936_ *) % 1.39/1.53 assert (zenon_L937_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2d zenon_H202 zenon_Hba zenon_H1ca zenon_H9b zenon_H9f zenon_H1c8 zenon_H16b zenon_H189 zenon_H4d zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7 zenon_H1b4 zenon_H168. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.39/1.53 apply (zenon_L936_); trivial. % 1.39/1.53 apply (zenon_L866_); trivial. % 1.39/1.53 (* end of lemma zenon_L937_ *) % 1.39/1.53 assert (zenon_L938_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H189 zenon_H50 zenon_H227 zenon_H245 zenon_H47 zenon_H4d zenon_H1ce zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H152 zenon_H1 zenon_H5 zenon_H7. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.39/1.53 apply (zenon_L4_); trivial. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.39/1.53 apply (zenon_L470_); trivial. % 1.39/1.53 apply (zenon_L895_); trivial. % 1.39/1.53 apply (zenon_L836_); trivial. % 1.39/1.53 (* end of lemma zenon_L938_ *) % 1.39/1.53 assert (zenon_L939_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H7 zenon_H5 zenon_H152 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H4d zenon_H47 zenon_H245 zenon_H227 zenon_H50 zenon_H189. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.39/1.53 apply (zenon_L938_); trivial. % 1.39/1.53 apply (zenon_L724_); trivial. % 1.39/1.53 (* end of lemma zenon_L939_ *) % 1.39/1.53 assert (zenon_L940_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H4d zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H13c zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.39/1.53 apply (zenon_L297_); trivial. % 1.39/1.53 apply (zenon_L890_); trivial. % 1.39/1.53 (* end of lemma zenon_L940_ *) % 1.39/1.53 assert (zenon_L941_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H16e zenon_H152 zenon_H271 zenon_Hb zenon_H101 zenon_Hff zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H4d. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.39/1.53 apply (zenon_L897_); trivial. % 1.39/1.53 apply (zenon_L895_); trivial. % 1.39/1.53 (* end of lemma zenon_L941_ *) % 1.39/1.53 assert (zenon_L942_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H184 zenon_H50 zenon_H227 zenon_H47 zenon_H16a zenon_H271 zenon_H101 zenon_Hff zenon_H4d zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Hc0 zenon_H152 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hdc zenon_H169. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.39/1.53 apply (zenon_L940_); trivial. % 1.39/1.53 apply (zenon_L244_); trivial. % 1.39/1.53 apply (zenon_L941_); trivial. % 1.39/1.53 apply (zenon_L77_); trivial. % 1.39/1.53 apply (zenon_L836_); trivial. % 1.39/1.53 (* end of lemma zenon_L942_ *) % 1.39/1.53 assert (zenon_L943_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H189 zenon_H227 zenon_H47 zenon_H16a zenon_H101 zenon_Hff zenon_H4d zenon_H245 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Hc0 zenon_H169 zenon_H152 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1 zenon_H1ca zenon_Heb zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H190 zenon_H182 zenon_H185 zenon_H50. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.39/1.53 apply (zenon_L908_); trivial. % 1.39/1.53 apply (zenon_L942_); trivial. % 1.39/1.53 (* end of lemma zenon_L943_ *) % 1.39/1.53 assert (zenon_L944_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H189 zenon_H47 zenon_H152 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1 zenon_H1ca zenon_Heb zenon_H16a zenon_H227 zenon_H101 zenon_Hff zenon_H245 zenon_H88 zenon_H80 zenon_H4d zenon_H1c8 zenon_H28b zenon_H190 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H299 zenon_H103 zenon_H29e zenon_Hc0 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H202 zenon_H2d zenon_H130 zenon_Hf1 zenon_H169 zenon_H50. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.39/1.53 apply (zenon_L896_); trivial. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.39/1.53 apply (zenon_L873_); trivial. % 1.39/1.53 apply (zenon_L392_); trivial. % 1.39/1.53 apply (zenon_L244_); trivial. % 1.39/1.53 apply (zenon_L393_); trivial. % 1.39/1.53 apply (zenon_L783_); trivial. % 1.39/1.53 apply (zenon_L899_); trivial. % 1.39/1.53 apply (zenon_L77_); trivial. % 1.39/1.53 apply (zenon_L942_); trivial. % 1.39/1.53 (* end of lemma zenon_L944_ *) % 1.39/1.53 assert (zenon_L945_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H50 zenon_H169 zenon_Hf1 zenon_H130 zenon_H2d zenon_H202 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Hc0 zenon_H29e zenon_H103 zenon_H299 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H28b zenon_H1c8 zenon_H4d zenon_H80 zenon_H88 zenon_H245 zenon_Hff zenon_H101 zenon_H227 zenon_H16a zenon_Heb zenon_H1ca zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H152 zenon_H47 zenon_H189. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.39/1.53 apply (zenon_L944_); trivial. % 1.39/1.53 apply (zenon_L724_); trivial. % 1.39/1.53 (* end of lemma zenon_L945_ *) % 1.39/1.53 assert (zenon_L946_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_Hf1 zenon_H130 zenon_Hba zenon_H29e zenon_H103 zenon_H299 zenon_H28b zenon_H1c8 zenon_H80 zenon_H88 zenon_H168 zenon_H202 zenon_H2d zenon_H7 zenon_H152 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H4d zenon_H47 zenon_H245 zenon_H227 zenon_H50 zenon_H189 zenon_H16a zenon_H101 zenon_Hff zenon_Hc0 zenon_H169 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H1ca zenon_Heb zenon_H190 zenon_H185 zenon_H1b6. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.39/1.53 apply (zenon_L939_); trivial. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.39/1.53 apply (zenon_L943_); trivial. % 1.39/1.53 apply (zenon_L724_); trivial. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.39/1.53 apply (zenon_L939_); trivial. % 1.39/1.53 apply (zenon_L945_); trivial. % 1.39/1.53 (* end of lemma zenon_L946_ *) % 1.39/1.53 assert (zenon_L947_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H1ca zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H182 zenon_H185 zenon_H7 zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_H152 zenon_H275 zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H1ce zenon_H98 zenon_H168. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.39/1.53 apply (zenon_L857_); trivial. % 1.39/1.53 apply (zenon_L475_); trivial. % 1.39/1.53 apply (zenon_L919_); trivial. % 1.39/1.53 (* end of lemma zenon_L947_ *) % 1.39/1.53 assert (zenon_L948_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.39/1.53 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b6 zenon_H1ca zenon_H189 zenon_H4d zenon_H245 zenon_H47 zenon_H33 zenon_H7 zenon_H1b4 zenon_H168 zenon_Hf1 zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H9b zenon_H9f zenon_H22b zenon_H1b2 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_Hba zenon_H202 zenon_H2d zenon_H130 zenon_H88 zenon_H16b. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.39/1.53 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.39/1.53 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.39/1.53 apply (zenon_L886_); trivial. % 1.39/1.53 apply (zenon_L937_); trivial. % 1.39/1.53 (* end of lemma zenon_L948_ *) % 1.39/1.53 assert (zenon_L949_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H168 zenon_H98 zenon_H13e zenon_H265 zenon_H2d zenon_H202 zenon_H275 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H7 zenon_H5 zenon_H152 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H4d zenon_H47 zenon_H245 zenon_H227 zenon_H50 zenon_H189. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.54 apply (zenon_L938_); trivial. % 1.40/1.54 apply (zenon_L475_); trivial. % 1.40/1.54 (* end of lemma zenon_L949_ *) % 1.40/1.54 assert (zenon_L950_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H152 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.54 apply (zenon_L441_); trivial. % 1.40/1.54 apply (zenon_L244_); trivial. % 1.40/1.54 (* end of lemma zenon_L950_ *) % 1.40/1.54 assert (zenon_L951_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H169 zenon_H161 zenon_H218 zenon_H217 zenon_H216 zenon_H152 zenon_Hc0 zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H4d zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hff zenon_H101 zenon_H16a. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.54 apply (zenon_L950_); trivial. % 1.40/1.54 apply (zenon_L921_); trivial. % 1.40/1.54 apply (zenon_L343_); trivial. % 1.40/1.54 (* end of lemma zenon_L951_ *) % 1.40/1.54 assert (zenon_L952_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H202 zenon_H2d zenon_H16a zenon_H101 zenon_Hff zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H4d zenon_H1ca zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_Hc0 zenon_H152 zenon_H216 zenon_H217 zenon_H218 zenon_H161 zenon_H169. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.54 apply (zenon_L951_); trivial. % 1.40/1.54 apply (zenon_L724_); trivial. % 1.40/1.54 (* end of lemma zenon_L952_ *) % 1.40/1.54 assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H1ef zenon_H1b6 zenon_H16a zenon_H101 zenon_Hff zenon_H1ca zenon_Hc0 zenon_H161 zenon_H169 zenon_H189 zenon_H50 zenon_H227 zenon_H245 zenon_H47 zenon_H4d zenon_H1ce zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H152 zenon_H7 zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_H275 zenon_H202 zenon_H2d zenon_H265 zenon_H13e zenon_H98 zenon_H168. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.54 apply (zenon_L949_); trivial. % 1.40/1.54 apply (zenon_L952_); trivial. % 1.40/1.54 (* end of lemma zenon_L953_ *) % 1.40/1.54 assert (zenon_L954_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H184 zenon_H50 zenon_H169 zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_Hc0 zenon_H101 zenon_Hff zenon_H245 zenon_H47 zenon_H4d zenon_H16a zenon_H9f zenon_H9b zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_He7 zenon_H182 zenon_H185 zenon_H88 zenon_Hf1. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L734_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.54 apply (zenon_L483_); trivial. % 1.40/1.54 apply (zenon_L806_); trivial. % 1.40/1.54 apply (zenon_L77_); trivial. % 1.40/1.54 (* end of lemma zenon_L954_ *) % 1.40/1.54 assert (zenon_L955_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.40/1.54 do 0 intro. intros zenon_Heb zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_H80 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.40/1.54 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.54 apply (zenon_L726_); trivial. % 1.40/1.54 apply (zenon_L488_); trivial. % 1.40/1.54 (* end of lemma zenon_L955_ *) % 1.40/1.54 assert (zenon_L956_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_Hba zenon_H1c8 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H80 zenon_Hdc zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_Heb. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L955_); trivial. % 1.40/1.54 apply (zenon_L559_); trivial. % 1.40/1.54 (* end of lemma zenon_L956_ *) % 1.40/1.54 assert (zenon_L957_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H169 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc0 zenon_H9f zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H88 zenon_Hf1 zenon_H16a. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.54 apply (zenon_L483_); trivial. % 1.40/1.54 apply (zenon_L143_); trivial. % 1.40/1.54 apply (zenon_L77_); trivial. % 1.40/1.54 (* end of lemma zenon_L957_ *) % 1.40/1.54 assert (zenon_L958_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H4c zenon_H169 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hc0 zenon_H9f zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_He7 zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H88 zenon_Hf1 zenon_H16a. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.54 apply (zenon_L483_); trivial. % 1.40/1.54 apply (zenon_L731_); trivial. % 1.40/1.54 apply (zenon_L77_); trivial. % 1.40/1.54 (* end of lemma zenon_L958_ *) % 1.40/1.54 assert (zenon_L959_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H16a zenon_H4d zenon_H1a3 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H101 zenon_H1c8 zenon_H1e zenon_H1c zenon_H26 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_Hba zenon_H130 zenon_Hff zenon_H124 zenon_H60 zenon_H62 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hbc zenon_Hc0 zenon_H85 zenon_H88 zenon_Hf1. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.54 apply (zenon_L742_); trivial. % 1.40/1.54 apply (zenon_L517_); trivial. % 1.40/1.54 (* end of lemma zenon_L959_ *) % 1.40/1.54 assert (zenon_L960_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H98 zenon_H93 zenon_H9 zenon_H53 zenon_Hf1 zenon_H26f zenon_H2b zenon_H2bd zenon_H2bc zenon_H2bb zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H9b zenon_H9f zenon_H88 zenon_H62 zenon_H130 zenon_Hba zenon_H128 zenon_H126 zenon_Hff zenon_H124 zenon_H245 zenon_H271 zenon_H85 zenon_H16a zenon_H4d zenon_H1a3 zenon_H27c zenon_H27d zenon_H27e zenon_H285 zenon_H101 zenon_H1c8 zenon_Hc0 zenon_H2f zenon_H2d zenon_H161 zenon_H169 zenon_H50 zenon_H16b. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.54 apply (zenon_L802_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L739_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.54 apply (zenon_L959_); trivial. % 1.40/1.54 apply (zenon_L551_); trivial. % 1.40/1.54 apply (zenon_L40_); trivial. % 1.40/1.54 (* end of lemma zenon_L960_ *) % 1.40/1.54 assert (zenon_L961_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H4c zenon_H169 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H126 zenon_H128 zenon_H1a7 zenon_Hf1 zenon_H88 zenon_H85 zenon_Hc0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H101 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H1a3 zenon_H4d zenon_H16a. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.54 apply (zenon_L959_); trivial. % 1.40/1.54 apply (zenon_L812_); trivial. % 1.40/1.54 (* end of lemma zenon_L961_ *) % 1.40/1.54 assert (zenon_L962_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H184 zenon_H50 zenon_H169 zenon_H93 zenon_H9 zenon_H126 zenon_H128 zenon_H1a7 zenon_Hf1 zenon_H88 zenon_H85 zenon_Hc0 zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H101 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H1a3 zenon_H4d zenon_H16a zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L751_); trivial. % 1.40/1.54 apply (zenon_L961_); trivial. % 1.40/1.54 (* end of lemma zenon_L962_ *) % 1.40/1.54 assert (zenon_L963_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H16b zenon_H50 zenon_H169 zenon_H93 zenon_H9 zenon_H126 zenon_H128 zenon_H1a7 zenon_H88 zenon_H85 zenon_Hc0 zenon_H245 zenon_H62 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H1c8 zenon_H101 zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_H1a3 zenon_H4d zenon_H16a zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H7 zenon_H5 zenon_H9f zenon_H9b zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H185 zenon_H182 zenon_He7 zenon_Hf1 zenon_H189 zenon_H13e zenon_H1ca zenon_H152 zenon_H98. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.54 apply (zenon_L912_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.54 apply (zenon_L4_); trivial. % 1.40/1.54 apply (zenon_L962_); trivial. % 1.40/1.54 apply (zenon_L814_); trivial. % 1.40/1.54 apply (zenon_L724_); trivial. % 1.40/1.54 (* end of lemma zenon_L963_ *) % 1.40/1.54 assert (zenon_L964_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H111 zenon_Hf1 zenon_H85 zenon_H62 zenon_H142 zenon_H163 zenon_H24c zenon_H1a7 zenon_H128 zenon_H126 zenon_H9 zenon_H93 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_Heb. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.40/1.54 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.54 apply (zenon_L822_); trivial. % 1.40/1.54 apply (zenon_L922_); trivial. % 1.40/1.54 (* end of lemma zenon_L964_ *) % 1.40/1.54 assert (zenon_L965_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H80 zenon_Hdc zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_Heb. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L955_); trivial. % 1.40/1.54 apply (zenon_L836_); trivial. % 1.40/1.54 (* end of lemma zenon_L965_ *) % 1.40/1.54 assert (zenon_L966_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H132 zenon_H189 zenon_H33 zenon_Heb zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_H80 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_H185 zenon_H182 zenon_H190 zenon_H47 zenon_H2ac zenon_H227 zenon_H4d zenon_H103 zenon_H101 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H1c8 zenon_Hba zenon_H130 zenon_Hff zenon_H124 zenon_H60 zenon_H62 zenon_H245 zenon_Hc0 zenon_H85 zenon_H88 zenon_Hf1 zenon_H169 zenon_H50. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L955_); trivial. % 1.40/1.54 apply (zenon_L852_); trivial. % 1.40/1.54 apply (zenon_L965_); trivial. % 1.40/1.54 (* end of lemma zenon_L966_ *) % 1.40/1.54 assert (zenon_L967_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.54 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.54 apply (zenon_L175_); trivial. % 1.40/1.54 apply (zenon_L779_); trivial. % 1.40/1.54 (* end of lemma zenon_L967_ *) % 1.40/1.54 assert (zenon_L968_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H9b zenon_H9f zenon_Heb zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_H80 zenon_Hc7 zenon_H7d zenon_H271 zenon_H1c8 zenon_H50 zenon_H16b. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.54 apply (zenon_L863_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L955_); trivial. % 1.40/1.54 apply (zenon_L967_); trivial. % 1.40/1.54 apply (zenon_L724_); trivial. % 1.40/1.54 (* end of lemma zenon_L968_ *) % 1.40/1.54 assert (zenon_L969_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.40/1.54 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_Heb zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H99 zenon_H9b zenon_H9f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.54 apply (zenon_L45_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.54 apply (zenon_L52_); trivial. % 1.40/1.54 apply (zenon_L489_); trivial. % 1.40/1.54 (* end of lemma zenon_L969_ *) % 1.40/1.54 assert (zenon_L970_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H4c zenon_H169 zenon_Hf1 zenon_H88 zenon_Heb zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H99 zenon_H9b zenon_H9f zenon_H4d zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hff zenon_H101 zenon_H227 zenon_H152 zenon_H16a. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.54 apply (zenon_L969_); trivial. % 1.40/1.54 apply (zenon_L899_); trivial. % 1.40/1.54 apply (zenon_L77_); trivial. % 1.40/1.54 (* end of lemma zenon_L970_ *) % 1.40/1.54 assert (zenon_L971_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H132 zenon_H50 zenon_H169 zenon_Hf1 zenon_H88 zenon_H85 zenon_Hc0 zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H1c8 zenon_H4d zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H101 zenon_H227 zenon_H152 zenon_H16a zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H80 zenon_Hdc zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_Heb. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L955_); trivial. % 1.40/1.54 apply (zenon_L900_); trivial. % 1.40/1.54 (* end of lemma zenon_L971_ *) % 1.40/1.54 assert (zenon_L972_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H98 zenon_H189 zenon_H103 zenon_H1 zenon_H1ca zenon_H185 zenon_H182 zenon_H190 zenon_H13e zenon_H50 zenon_H169 zenon_Hf1 zenon_H88 zenon_Hba zenon_Hc0 zenon_H9f zenon_H4d zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_Hff zenon_H101 zenon_H227 zenon_H152 zenon_H16a zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H80 zenon_Hdc zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_Heb zenon_H1c8 zenon_H130 zenon_H124 zenon_H62 zenon_H85 zenon_H16b. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L955_); trivial. % 1.40/1.54 apply (zenon_L970_); trivial. % 1.40/1.54 apply (zenon_L971_); trivial. % 1.40/1.54 apply (zenon_L904_); trivial. % 1.40/1.54 (* end of lemma zenon_L972_ *) % 1.40/1.54 assert (zenon_L973_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H11f zenon_H115 zenon_H116 zenon_Hba zenon_H4d zenon_H1ad zenon_Hc7 zenon_H128 zenon_H126 zenon_H155 zenon_H156 zenon_H252 zenon_H253 zenon_H254 zenon_H7d zenon_Hdc zenon_H33 zenon_H185 zenon_H182 zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H275 zenon_H5 zenon_Heb. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.54 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.54 apply (zenon_L893_); trivial. % 1.40/1.54 apply (zenon_L756_); trivial. % 1.40/1.54 (* end of lemma zenon_L973_ *) % 1.40/1.54 assert (zenon_L974_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H132 zenon_H189 zenon_Hf1 zenon_H88 zenon_Hba zenon_H4d zenon_H1ad zenon_Hc7 zenon_H128 zenon_H126 zenon_H155 zenon_H156 zenon_H252 zenon_H253 zenon_H254 zenon_H7d zenon_Hdc zenon_H33 zenon_H185 zenon_H182 zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H275 zenon_Heb zenon_H1 zenon_H5 zenon_H7. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.54 apply (zenon_L4_); trivial. % 1.40/1.54 apply (zenon_L973_); trivial. % 1.40/1.54 (* end of lemma zenon_L974_ *) % 1.40/1.54 assert (zenon_L975_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H152 zenon_H271 zenon_Hb zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.54 apply (zenon_L446_); trivial. % 1.40/1.54 apply (zenon_L895_); trivial. % 1.40/1.54 (* end of lemma zenon_L975_ *) % 1.40/1.54 assert (zenon_L976_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H95 zenon_H189 zenon_H50 zenon_H227 zenon_H245 zenon_H47 zenon_H4d zenon_H1ce zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H13e zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H152 zenon_H1 zenon_H5 zenon_H7. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.54 apply (zenon_L4_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L975_); trivial. % 1.40/1.54 apply (zenon_L836_); trivial. % 1.40/1.54 (* end of lemma zenon_L976_ *) % 1.40/1.54 assert (zenon_L977_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H189 zenon_H88 zenon_H152 zenon_H80 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H4d zenon_H103 zenon_H7d zenon_Hc7 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1a3 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1ad zenon_Heb zenon_H5 zenon_H7 zenon_H271 zenon_H13e zenon_H1ce zenon_H47 zenon_H227 zenon_H50 zenon_H98. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.54 apply (zenon_L4_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.54 apply (zenon_L505_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.54 apply (zenon_L940_); trivial. % 1.40/1.54 apply (zenon_L129_); trivial. % 1.40/1.54 apply (zenon_L976_); trivial. % 1.40/1.54 apply (zenon_L724_); trivial. % 1.40/1.54 (* end of lemma zenon_L977_ *) % 1.40/1.54 assert (zenon_L978_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp17)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H50 zenon_H169 zenon_Hf1 zenon_H4d zenon_H85 zenon_Hc0 zenon_H245 zenon_H185 zenon_H182 zenon_H62 zenon_H60 zenon_H47 zenon_H2ac zenon_H227 zenon_H190 zenon_H3 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H99 zenon_H9f zenon_Hba zenon_H1ad zenon_H101 zenon_Hff zenon_H103 zenon_H88 zenon_H16a zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H80 zenon_Hdc zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_Heb. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L955_); trivial. % 1.40/1.54 apply (zenon_L846_); trivial. % 1.40/1.54 (* end of lemma zenon_L978_ *) % 1.40/1.54 assert (zenon_L979_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp17)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H189 zenon_Heb zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_H80 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_H88 zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_Hba zenon_H9f zenon_H99 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H227 zenon_H2ac zenon_H47 zenon_H60 zenon_H62 zenon_H182 zenon_H185 zenon_H245 zenon_Hc0 zenon_H85 zenon_H4d zenon_Hf1 zenon_H169 zenon_H50. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.54 apply (zenon_L978_); trivial. % 1.40/1.54 apply (zenon_L965_); trivial. % 1.40/1.54 (* end of lemma zenon_L979_ *) % 1.40/1.54 assert (zenon_L980_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H98 zenon_H1 zenon_H1ca zenon_H13e zenon_H189 zenon_Heb zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_H80 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_H88 zenon_H103 zenon_Hff zenon_H101 zenon_H1ad zenon_Hba zenon_H9f zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H227 zenon_H2ac zenon_H47 zenon_H62 zenon_H182 zenon_H185 zenon_H245 zenon_Hc0 zenon_H85 zenon_H4d zenon_Hf1 zenon_H169 zenon_H50 zenon_H152 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1c8 zenon_H130 zenon_H124 zenon_H16b. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.54 apply (zenon_L979_); trivial. % 1.40/1.54 apply (zenon_L971_); trivial. % 1.40/1.54 apply (zenon_L904_); trivial. % 1.40/1.54 (* end of lemma zenon_L980_ *) % 1.40/1.54 assert (zenon_L981_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H168 zenon_H265 zenon_H2d zenon_H202 zenon_H275 zenon_H62 zenon_H85 zenon_H189 zenon_H4d zenon_H1a3 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H5 zenon_H7 zenon_H152 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H13e zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H47 zenon_H245 zenon_H227 zenon_H50 zenon_H98. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.54 apply (zenon_L516_); trivial. % 1.40/1.54 apply (zenon_L976_); trivial. % 1.40/1.54 apply (zenon_L475_); trivial. % 1.40/1.54 (* end of lemma zenon_L981_ *) % 1.40/1.54 assert (zenon_L982_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.40/1.54 do 0 intro. intros zenon_Hf2 zenon_H4d zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H182 zenon_H185. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.54 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.54 apply (zenon_L570_); trivial. % 1.40/1.54 apply (zenon_L722_); trivial. % 1.40/1.54 (* end of lemma zenon_L982_ *) % 1.40/1.54 assert (zenon_L983_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H4d zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H182 zenon_H185 zenon_H99 zenon_H9b zenon_H9f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.54 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.54 apply (zenon_L45_); trivial. % 1.40/1.54 apply (zenon_L982_); trivial. % 1.40/1.54 (* end of lemma zenon_L983_ *) % 1.40/1.54 assert (zenon_L984_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.54 do 0 intro. intros zenon_H168 zenon_H98 zenon_Heb zenon_H93 zenon_H231 zenon_H2ae zenon_H24c zenon_H62 zenon_H80 zenon_H7d zenon_H85 zenon_H189 zenon_H50 zenon_Hf1 zenon_H4d zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H182 zenon_H185 zenon_H9b zenon_H9f zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H1c8 zenon_H16b. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.54 apply (zenon_L4_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L7_); trivial. % 1.40/1.54 apply (zenon_L983_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.54 apply (zenon_L4_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.54 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.54 apply (zenon_L7_); trivial. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.54 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.54 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.54 apply (zenon_L175_); trivial. % 1.40/1.54 apply (zenon_L982_); trivial. % 1.40/1.54 apply (zenon_L588_); trivial. % 1.40/1.54 (* end of lemma zenon_L984_ *) % 1.40/1.54 assert (zenon_L985_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H47 zenon_H245 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H9f zenon_H9b zenon_H99 zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_He7 zenon_H182 zenon_H185 zenon_H88 zenon_Hf1. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L734_); trivial. % 1.40/1.55 apply (zenon_L983_); trivial. % 1.40/1.55 (* end of lemma zenon_L985_ *) % 1.40/1.55 assert (zenon_L986_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Heb zenon_H85 zenon_H245 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hdc zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H130 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.55 apply (zenon_L726_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.55 apply (zenon_L568_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.55 apply (zenon_L72_); trivial. % 1.40/1.55 apply (zenon_L80_); trivial. % 1.40/1.55 apply (zenon_L737_); trivial. % 1.40/1.55 (* end of lemma zenon_L986_ *) % 1.40/1.55 assert (zenon_L987_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (~(hskp19)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H185 zenon_Hb3 zenon_Hb1 zenon_H54 zenon_H3 zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H190 zenon_H182. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.40/1.55 apply (zenon_L60_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.40/1.55 apply (zenon_L116_); trivial. % 1.40/1.55 exact (zenon_H182 zenon_H183). % 1.40/1.55 (* end of lemma zenon_L987_ *) % 1.40/1.55 assert (zenon_L988_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H67 zenon_H66 zenon_H65 zenon_H10 zenon_H11f zenon_H114 zenon_H115 zenon_H116. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.55 apply (zenon_L568_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.55 apply (zenon_L30_); trivial. % 1.40/1.55 apply (zenon_L79_); trivial. % 1.40/1.55 (* end of lemma zenon_L988_ *) % 1.40/1.55 assert (zenon_L989_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H248 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H26 zenon_H1c zenon_H1e zenon_H1c8. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L175_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_L84_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H24b ]. % 1.40/1.55 apply (zenon_L65_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H54 | zenon_intro zenon_H114 ]. % 1.40/1.55 apply (zenon_L987_); trivial. % 1.40/1.55 apply (zenon_L988_); trivial. % 1.40/1.55 (* end of lemma zenon_L989_ *) % 1.40/1.55 assert (zenon_L990_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H16a zenon_H248 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H1c8 zenon_H1e zenon_H1c zenon_H26 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_Hba zenon_H130 zenon_Hff zenon_H124 zenon_H60 zenon_H62 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hbc zenon_Hc0 zenon_H85 zenon_H88 zenon_Hf1. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.55 apply (zenon_L742_); trivial. % 1.40/1.55 apply (zenon_L989_); trivial. % 1.40/1.55 (* end of lemma zenon_L990_ *) % 1.40/1.55 assert (zenon_L991_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H4c zenon_H169 zenon_Hdc zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hf1 zenon_H88 zenon_H85 zenon_Hc0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H248 zenon_H16a. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.55 apply (zenon_L990_); trivial. % 1.40/1.55 apply (zenon_L77_); trivial. % 1.40/1.55 (* end of lemma zenon_L991_ *) % 1.40/1.55 assert (zenon_L992_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H50 zenon_H169 zenon_Hf1 zenon_H88 zenon_Hc0 zenon_H62 zenon_H60 zenon_Hba zenon_H1c8 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H248 zenon_H16a zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hff zenon_H124 zenon_Hdc zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H245 zenon_H85 zenon_Heb. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L986_); trivial. % 1.40/1.55 apply (zenon_L991_); trivial. % 1.40/1.55 (* end of lemma zenon_L992_ *) % 1.40/1.55 assert (zenon_L993_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H248 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H12 zenon_H13 zenon_H14 zenon_H182 zenon_H185 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_L84_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H24b ]. % 1.40/1.55 apply (zenon_L65_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H54 | zenon_intro zenon_H114 ]. % 1.40/1.55 apply (zenon_L571_); trivial. % 1.40/1.55 apply (zenon_L988_); trivial. % 1.40/1.55 (* end of lemma zenon_L993_ *) % 1.40/1.55 assert (zenon_L994_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H248 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H12 zenon_H13 zenon_H14 zenon_H182 zenon_H185 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H26 zenon_H1c zenon_H1e zenon_H1c8. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L175_); trivial. % 1.40/1.55 apply (zenon_L993_); trivial. % 1.40/1.55 (* end of lemma zenon_L994_ *) % 1.40/1.55 assert (zenon_L995_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H132 zenon_H189 zenon_Heb zenon_H85 zenon_H245 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hdc zenon_H124 zenon_Hff zenon_H130 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_H248 zenon_H190 zenon_H182 zenon_H185 zenon_H1c8 zenon_Hba zenon_H60 zenon_H62 zenon_Hc0 zenon_H88 zenon_Hf1 zenon_H169 zenon_H50. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.55 apply (zenon_L992_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L986_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.55 apply (zenon_L742_); trivial. % 1.40/1.55 apply (zenon_L994_); trivial. % 1.40/1.55 apply (zenon_L77_); trivial. % 1.40/1.55 (* end of lemma zenon_L995_ *) % 1.40/1.55 assert (zenon_L996_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H24c zenon_H2ae zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.40/1.55 apply (zenon_L335_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.40/1.55 apply (zenon_L568_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.40/1.55 apply (zenon_L38_); trivial. % 1.40/1.55 apply (zenon_L815_); trivial. % 1.40/1.55 (* end of lemma zenon_L996_ *) % 1.40/1.55 assert (zenon_L997_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H95 zenon_Heb zenon_H9 zenon_H93 zenon_H231 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2ae zenon_H24c. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.55 apply (zenon_L996_); trivial. % 1.40/1.55 apply (zenon_L586_); trivial. % 1.40/1.55 (* end of lemma zenon_L997_ *) % 1.40/1.55 assert (zenon_L998_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H184 zenon_H50 zenon_Hf1 zenon_H88 zenon_H7d zenon_H80 zenon_H1ce zenon_H5 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_Hba zenon_H4d zenon_H99 zenon_H9b zenon_H9f zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L751_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L45_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_L576_); trivial. % 1.40/1.55 apply (zenon_L506_); trivial. % 1.40/1.55 (* end of lemma zenon_L998_ *) % 1.40/1.55 assert (zenon_L999_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H84 zenon_H85 zenon_H80 zenon_H7d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.55 apply (zenon_L29_); trivial. % 1.40/1.55 apply (zenon_L743_); trivial. % 1.40/1.55 (* end of lemma zenon_L999_ *) % 1.40/1.55 assert (zenon_L1000_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H85 zenon_H271 zenon_Hb zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.55 apply (zenon_L29_); trivial. % 1.40/1.55 apply (zenon_L737_); trivial. % 1.40/1.55 (* end of lemma zenon_L1000_ *) % 1.40/1.55 assert (zenon_L1001_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_H80 zenon_H7d zenon_Hba zenon_H1c8 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L1000_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L175_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_L84_); trivial. % 1.40/1.55 apply (zenon_L999_); trivial. % 1.40/1.55 (* end of lemma zenon_L1001_ *) % 1.40/1.55 assert (zenon_L1002_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H168 zenon_H98 zenon_Heb zenon_H93 zenon_H231 zenon_H2ae zenon_H24c zenon_H85 zenon_H190 zenon_H103 zenon_H62 zenon_H245 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H7d zenon_H80 zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_Hba zenon_H4d zenon_H9b zenon_H9f zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H5 zenon_H7 zenon_Hd zenon_H9 zenon_H1c8 zenon_H16b. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.55 apply (zenon_L4_); trivial. % 1.40/1.55 apply (zenon_L998_); trivial. % 1.40/1.55 apply (zenon_L767_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L7_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_L117_); trivial. % 1.40/1.55 apply (zenon_L999_); trivial. % 1.40/1.55 apply (zenon_L998_); trivial. % 1.40/1.55 apply (zenon_L1001_); trivial. % 1.40/1.55 apply (zenon_L587_); trivial. % 1.40/1.55 (* end of lemma zenon_L1002_ *) % 1.40/1.55 assert (zenon_L1003_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Heb zenon_H2ae zenon_Hdc zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H1a7 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.55 apply (zenon_L726_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.40/1.55 apply (zenon_L568_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.40/1.55 apply (zenon_L151_); trivial. % 1.40/1.55 apply (zenon_L150_); trivial. % 1.40/1.55 (* end of lemma zenon_L1003_ *) % 1.40/1.55 assert (zenon_L1004_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a451))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.40/1.55 do 0 intro. intros zenon_Hba zenon_Ha3 zenon_Ha2 zenon_H6e zenon_Hab zenon_H2a5 zenon_H2a4 zenon_H20c zenon_H10 zenon_H51. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Haa | zenon_intro zenon_Hbb ]. % 1.40/1.55 apply (zenon_L47_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H52 ]. % 1.40/1.55 apply (zenon_L648_); trivial. % 1.40/1.55 exact (zenon_H51 zenon_H52). % 1.40/1.55 (* end of lemma zenon_L1004_ *) % 1.40/1.55 assert (zenon_L1005_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp24)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp8)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H80 zenon_Hcd zenon_Hd0 zenon_Hcf zenon_Hdc zenon_H51 zenon_H10 zenon_H20c zenon_H2a4 zenon_H2a5 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H7d. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.40/1.55 apply (zenon_L72_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.40/1.55 apply (zenon_L1004_); trivial. % 1.40/1.55 exact (zenon_H7d zenon_H7e). % 1.40/1.55 (* end of lemma zenon_L1005_ *) % 1.40/1.55 assert (zenon_L1006_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Heb zenon_H210 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H2a5 zenon_H2a4 zenon_H80 zenon_H175 zenon_H176 zenon_H174 zenon_H101 zenon_Hff zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H10 zenon_Hc7 zenon_H7d zenon_H51 zenon_H103 zenon_H4d. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.55 apply (zenon_L70_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.40/1.55 apply (zenon_L65_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.40/1.55 apply (zenon_L166_); trivial. % 1.40/1.55 apply (zenon_L1005_); trivial. % 1.40/1.55 (* end of lemma zenon_L1006_ *) % 1.40/1.55 assert (zenon_L1007_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H4c zenon_H169 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_Heb zenon_H210 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hba zenon_H2a5 zenon_H2a4 zenon_H80 zenon_H101 zenon_Hff zenon_Hc7 zenon_H7d zenon_H103 zenon_H4d zenon_H88 zenon_H16a. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.55 apply (zenon_L771_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_L1006_); trivial. % 1.40/1.55 apply (zenon_L119_); trivial. % 1.40/1.55 apply (zenon_L77_); trivial. % 1.40/1.55 (* end of lemma zenon_L1007_ *) % 1.40/1.55 assert (zenon_L1008_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(hskp28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a509))) -> (~(c2_1 (a509))) -> (~(c3_1 (a509))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H85 zenon_H299 zenon_H31 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H12 zenon_H13 zenon_H14 zenon_H182 zenon_H185 zenon_H10 zenon_H28e zenon_H28f zenon_H290 zenon_H9b zenon_H297. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.55 apply (zenon_L533_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H28d | zenon_intro zenon_H29a ]. % 1.40/1.55 apply (zenon_L532_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1b | zenon_intro zenon_H32 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.40/1.55 apply (zenon_L113_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.40/1.55 apply (zenon_L9_); trivial. % 1.40/1.55 exact (zenon_H182 zenon_H183). % 1.40/1.55 exact (zenon_H31 zenon_H32). % 1.40/1.55 (* end of lemma zenon_L1008_ *) % 1.40/1.55 assert (zenon_L1009_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp24)) -> (~(hskp26)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H29b zenon_H4d zenon_H103 zenon_H51 zenon_Hc5 zenon_Hc7 zenon_H297 zenon_H9b zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H299 zenon_H85. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.55 apply (zenon_L1008_); trivial. % 1.40/1.55 apply (zenon_L69_); trivial. % 1.40/1.55 (* end of lemma zenon_L1009_ *) % 1.40/1.55 assert (zenon_L1010_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(c3_1 (a484))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H29e zenon_H103 zenon_Hc7 zenon_H297 zenon_H9b zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H299 zenon_H85 zenon_H185 zenon_H182 zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hb1 zenon_Hb3 zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H14 zenon_H13 zenon_H12 zenon_H2ac zenon_H28b zenon_Hc5 zenon_Hb2 zenon_H51 zenon_Hba zenon_H4d. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.55 apply (zenon_L570_); trivial. % 1.40/1.55 apply (zenon_L632_); trivial. % 1.40/1.55 apply (zenon_L1009_); trivial. % 1.40/1.55 (* end of lemma zenon_L1010_ *) % 1.40/1.55 assert (zenon_L1011_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H184 zenon_H50 zenon_Hf1 zenon_H88 zenon_H29e zenon_H103 zenon_Hc7 zenon_H297 zenon_H7d zenon_H80 zenon_H299 zenon_H85 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_H28b zenon_Hba zenon_H4d zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Heb zenon_H99 zenon_H9b zenon_H9f zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L751_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L45_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.55 apply (zenon_L1010_); trivial. % 1.40/1.55 apply (zenon_L73_); trivial. % 1.40/1.55 apply (zenon_L506_); trivial. % 1.40/1.55 (* end of lemma zenon_L1011_ *) % 1.40/1.55 assert (zenon_L1012_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H132 zenon_H189 zenon_H80 zenon_H176 zenon_H175 zenon_H174 zenon_Heb zenon_H85 zenon_H245 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hdc zenon_H124 zenon_Hff zenon_H130 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_H248 zenon_H190 zenon_H182 zenon_H185 zenon_H1c8 zenon_Hba zenon_H60 zenon_H62 zenon_Hc0 zenon_H88 zenon_Hf1 zenon_H169 zenon_H50. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.55 apply (zenon_L992_); trivial. % 1.40/1.55 apply (zenon_L774_); trivial. % 1.40/1.55 (* end of lemma zenon_L1012_ *) % 1.40/1.55 assert (zenon_L1013_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L175_); trivial. % 1.40/1.55 apply (zenon_L593_); trivial. % 1.40/1.55 (* end of lemma zenon_L1013_ *) % 1.40/1.55 assert (zenon_L1014_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1c8 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L1000_); trivial. % 1.40/1.55 apply (zenon_L1013_); trivial. % 1.40/1.55 (* end of lemma zenon_L1014_ *) % 1.40/1.55 assert (zenon_L1015_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H95 zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H231 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2ae zenon_H24c. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.55 apply (zenon_L996_); trivial. % 1.40/1.55 apply (zenon_L611_); trivial. % 1.40/1.55 (* end of lemma zenon_L1015_ *) % 1.40/1.55 assert (zenon_L1016_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H165 zenon_H98 zenon_Heb zenon_H231 zenon_H2ae zenon_H24c zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_He7 zenon_H9b zenon_H9f zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H1c8 zenon_H50 zenon_H16b. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.55 apply (zenon_L690_); trivial. % 1.40/1.55 apply (zenon_L1014_); trivial. % 1.40/1.55 apply (zenon_L1015_); trivial. % 1.40/1.55 (* end of lemma zenon_L1016_ *) % 1.40/1.55 assert (zenon_L1017_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H1ca zenon_H16b zenon_H126 zenon_H128 zenon_H7 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H4d zenon_Hba zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H189 zenon_H1c8 zenon_H62 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85 zenon_He7 zenon_H24c zenon_H2ae zenon_H231 zenon_Heb zenon_H98 zenon_H168. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.55 apply (zenon_L595_); trivial. % 1.40/1.55 apply (zenon_L1016_); trivial. % 1.40/1.55 apply (zenon_L601_); trivial. % 1.40/1.55 (* end of lemma zenon_L1017_ *) % 1.40/1.55 assert (zenon_L1018_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26)))))) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H57 zenon_H56 zenon_H55 zenon_H11 zenon_H10 zenon_H1c zenon_H1e zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.40/1.55 apply (zenon_L568_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.40/1.55 apply (zenon_L26_); trivial. % 1.40/1.55 apply (zenon_L115_); trivial. % 1.40/1.55 (* end of lemma zenon_L1018_ *) % 1.40/1.55 assert (zenon_L1019_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp11)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H4c zenon_H185 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H55 zenon_H56 zenon_H57 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H182. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.40/1.55 apply (zenon_L208_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.40/1.55 apply (zenon_L1018_); trivial. % 1.40/1.55 exact (zenon_H182 zenon_H183). % 1.40/1.55 (* end of lemma zenon_L1019_ *) % 1.40/1.55 assert (zenon_L1020_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H165 zenon_H50 zenon_H185 zenon_H182 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H9 zenon_H5 zenon_Hd. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L7_); trivial. % 1.40/1.55 apply (zenon_L1019_); trivial. % 1.40/1.55 (* end of lemma zenon_L1020_ *) % 1.40/1.55 assert (zenon_L1021_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H168 zenon_H50 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H9 zenon_Hd zenon_H7 zenon_H5 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H182 zenon_H185 zenon_H189. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.55 apply (zenon_L684_); trivial. % 1.40/1.55 apply (zenon_L1020_); trivial. % 1.40/1.55 (* end of lemma zenon_L1021_ *) % 1.40/1.55 assert (zenon_L1022_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H33 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hba zenon_H4d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.55 apply (zenon_L4_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L7_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L185_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_L790_); trivial. % 1.40/1.55 apply (zenon_L592_); trivial. % 1.40/1.55 (* end of lemma zenon_L1022_ *) % 1.40/1.55 assert (zenon_L1023_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H168 zenon_H16b zenon_He7 zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H4d zenon_Hba zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H33 zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H189. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.55 apply (zenon_L1022_); trivial. % 1.40/1.55 apply (zenon_L597_); trivial. % 1.40/1.55 (* end of lemma zenon_L1023_ *) % 1.40/1.55 assert (zenon_L1024_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H1ca zenon_Hf1 zenon_H88 zenon_H130 zenon_H1ce zenon_H33 zenon_Hba zenon_H4d zenon_H126 zenon_H128 zenon_He7 zenon_H16b zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H168 zenon_H50 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H9 zenon_Hd zenon_H7 zenon_H185 zenon_H189 zenon_Heb zenon_H2ae zenon_Hdc zenon_H1a3 zenon_H93 zenon_H1a7 zenon_Hc7 zenon_H7d zenon_H271 zenon_H190 zenon_H24c zenon_H245 zenon_H231 zenon_H98 zenon_H1b6 zenon_H1d0. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.55 apply (zenon_L786_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.55 apply (zenon_L1021_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L1003_); trivial. % 1.40/1.55 apply (zenon_L295_); trivial. % 1.40/1.55 apply (zenon_L423_); trivial. % 1.40/1.55 apply (zenon_L997_); trivial. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.55 apply (zenon_L1023_); trivial. % 1.40/1.55 apply (zenon_L601_); trivial. % 1.40/1.55 (* end of lemma zenon_L1024_ *) % 1.40/1.55 assert (zenon_L1025_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H85 zenon_H1a3 zenon_H60 zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H128 zenon_H126 zenon_H9d zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H130. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.55 apply (zenon_L568_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.55 apply (zenon_L807_); trivial. % 1.40/1.55 apply (zenon_L80_); trivial. % 1.40/1.55 apply (zenon_L231_); trivial. % 1.40/1.55 (* end of lemma zenon_L1025_ *) % 1.40/1.55 assert (zenon_L1026_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H271 zenon_Hb zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_Hba zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hff zenon_H124 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H126 zenon_H128 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H60 zenon_H1a3 zenon_H85. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L1025_); trivial. % 1.40/1.55 apply (zenon_L738_); trivial. % 1.40/1.55 (* end of lemma zenon_L1026_ *) % 1.40/1.55 assert (zenon_L1027_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H248 zenon_H12 zenon_H13 zenon_H14 zenon_H182 zenon_H185 zenon_Hba zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hff zenon_H124 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H126 zenon_H128 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H60 zenon_H1a3 zenon_H85. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L1025_); trivial. % 1.40/1.55 apply (zenon_L993_); trivial. % 1.40/1.55 (* end of lemma zenon_L1027_ *) % 1.40/1.55 assert (zenon_L1028_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H16a zenon_H248 zenon_H12 zenon_H13 zenon_H14 zenon_H182 zenon_H185 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H126 zenon_H128 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1a3 zenon_H1c8 zenon_H1e zenon_H1c zenon_H26 zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_Hba zenon_H130 zenon_Hff zenon_H124 zenon_H60 zenon_H62 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hbc zenon_Hc0 zenon_H85 zenon_H88 zenon_Hf1. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.55 apply (zenon_L742_); trivial. % 1.40/1.55 apply (zenon_L1027_); trivial. % 1.40/1.55 (* end of lemma zenon_L1028_ *) % 1.40/1.55 assert (zenon_L1029_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1a7 zenon_H10a zenon_H109 zenon_H108 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H130 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.55 apply (zenon_L239_); trivial. % 1.40/1.55 apply (zenon_L810_); trivial. % 1.40/1.55 (* end of lemma zenon_L1029_ *) % 1.40/1.55 assert (zenon_L1030_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H111 zenon_Hf1 zenon_H88 zenon_H85 zenon_H1a7 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H11f zenon_H115 zenon_H116 zenon_H26 zenon_H1c zenon_H1e zenon_H1c8. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.40/1.55 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.55 apply (zenon_L175_); trivial. % 1.40/1.55 apply (zenon_L1029_); trivial. % 1.40/1.55 (* end of lemma zenon_L1030_ *) % 1.40/1.55 assert (zenon_L1031_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H4c zenon_H169 zenon_H1a7 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_Hf1 zenon_H88 zenon_H85 zenon_Hc0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H60 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H248 zenon_H16a. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.55 apply (zenon_L990_); trivial. % 1.40/1.55 apply (zenon_L1030_); trivial. % 1.40/1.55 (* end of lemma zenon_L1031_ *) % 1.40/1.55 assert (zenon_L1032_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H50 zenon_H169 zenon_H1a7 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_Hc0 zenon_H1c8 zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H248 zenon_H16a zenon_H85 zenon_H1a3 zenon_H60 zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H128 zenon_H126 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H124 zenon_Hff zenon_H116 zenon_H115 zenon_H11f zenon_H130 zenon_Hba zenon_H62 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H88 zenon_Hf1. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.55 apply (zenon_L1026_); trivial. % 1.40/1.55 apply (zenon_L1031_); trivial. % 1.40/1.55 (* end of lemma zenon_L1032_ *) % 1.40/1.55 assert (zenon_L1033_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.55 do 0 intro. intros zenon_H165 zenon_H98 zenon_Heb zenon_H9 zenon_H93 zenon_H231 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H2ac zenon_H24c zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.55 apply (zenon_L232_); trivial. % 1.40/1.55 apply (zenon_L587_); trivial. % 1.40/1.55 (* end of lemma zenon_L1033_ *) % 1.40/1.55 assert (zenon_L1034_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp7)) -> (~(hskp23)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (ndr1_0) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H126 zenon_H9d zenon_H128 zenon_H1a3 zenon_H9 zenon_H10 zenon_H176 zenon_H175 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H93 zenon_H60. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.55 apply (zenon_L568_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.55 apply (zenon_L807_); trivial. % 1.40/1.55 apply (zenon_L829_); trivial. % 1.40/1.55 (* end of lemma zenon_L1034_ *) % 1.40/1.55 assert (zenon_L1035_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.40/1.55 do 0 intro. intros zenon_H84 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1a3 zenon_H9 zenon_H176 zenon_H175 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H93 zenon_H60. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.55 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.55 apply (zenon_L568_); trivial. % 1.40/1.55 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.55 apply (zenon_L30_); trivial. % 1.40/1.55 apply (zenon_L829_); trivial. % 1.40/1.55 (* end of lemma zenon_L1035_ *) % 1.40/1.55 assert (zenon_L1036_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.55 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.56 apply (zenon_L84_); trivial. % 1.40/1.56 apply (zenon_L1035_); trivial. % 1.40/1.56 (* end of lemma zenon_L1036_ *) % 1.40/1.56 assert (zenon_L1037_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H128 zenon_H126 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H130. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.56 apply (zenon_L1034_); trivial. % 1.40/1.56 apply (zenon_L1036_); trivial. % 1.40/1.56 (* end of lemma zenon_L1037_ *) % 1.40/1.56 assert (zenon_L1038_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H98 zenon_Heb zenon_H231 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2ae zenon_H24c zenon_H130 zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H1a3 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H126 zenon_H128 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H88 zenon_Hf1. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.56 apply (zenon_L1034_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.56 apply (zenon_L239_); trivial. % 1.40/1.56 apply (zenon_L1035_); trivial. % 1.40/1.56 apply (zenon_L997_); trivial. % 1.40/1.56 (* end of lemma zenon_L1038_ *) % 1.40/1.56 assert (zenon_L1039_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L7_); trivial. % 1.40/1.56 apply (zenon_L1013_); trivial. % 1.40/1.56 (* end of lemma zenon_L1039_ *) % 1.40/1.56 assert (zenon_L1040_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H165 zenon_H16b zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_L233_); trivial. % 1.40/1.56 apply (zenon_L1039_); trivial. % 1.40/1.56 (* end of lemma zenon_L1040_ *) % 1.40/1.56 assert (zenon_L1041_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H165 zenon_H16b zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_L233_); trivial. % 1.40/1.56 apply (zenon_L594_); trivial. % 1.40/1.56 (* end of lemma zenon_L1041_ *) % 1.40/1.56 assert (zenon_L1042_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H16b zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H1ca zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_L600_); trivial. % 1.40/1.56 apply (zenon_L1041_); trivial. % 1.40/1.56 (* end of lemma zenon_L1042_ *) % 1.40/1.56 assert (zenon_L1043_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H1ca zenon_H16b zenon_H126 zenon_H128 zenon_H7 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H4d zenon_Hba zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H189 zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1c8 zenon_H168. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_L595_); trivial. % 1.40/1.56 apply (zenon_L1040_); trivial. % 1.40/1.56 apply (zenon_L1042_); trivial. % 1.40/1.56 (* end of lemma zenon_L1043_ *) % 1.40/1.56 assert (zenon_L1044_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H165 zenon_H98 zenon_Heb zenon_H9 zenon_H93 zenon_H231 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H2ac zenon_H24c zenon_H50 zenon_H185 zenon_H182 zenon_H190 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H62 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85 zenon_H189. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L1000_); trivial. % 1.40/1.56 apply (zenon_L295_); trivial. % 1.40/1.56 apply (zenon_L423_); trivial. % 1.40/1.56 apply (zenon_L587_); trivial. % 1.40/1.56 (* end of lemma zenon_L1044_ *) % 1.40/1.56 assert (zenon_L1045_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H2ac zenon_H50 zenon_H185 zenon_H182 zenon_H190 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H62 zenon_H271 zenon_H85 zenon_H189 zenon_Hf1 zenon_H88 zenon_Hba zenon_H1ca zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H128 zenon_H126 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1a3 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H130 zenon_H24c zenon_H2ae zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H231 zenon_Heb zenon_H98. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_L1038_); trivial. % 1.40/1.56 apply (zenon_L1044_); trivial. % 1.40/1.56 (* end of lemma zenon_L1045_ *) % 1.40/1.56 assert (zenon_L1046_ : ((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H24e zenon_H1f2 zenon_H1d0 zenon_H168 zenon_H93 zenon_H9 zenon_Hd zenon_H16b zenon_H189 zenon_H50 zenon_H169 zenon_H1a7 zenon_H1ce zenon_H33 zenon_H2ac zenon_H4d zenon_Hc0 zenon_H1c8 zenon_H185 zenon_H248 zenon_H16a zenon_H85 zenon_H1a3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H128 zenon_H126 zenon_H124 zenon_Hff zenon_H130 zenon_Hba zenon_H62 zenon_H245 zenon_H271 zenon_H88 zenon_H7 zenon_H9f zenon_He7 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H26f zenon_Hf1 zenon_H13e zenon_H1ca zenon_H152 zenon_H98 zenon_Heb zenon_H231 zenon_H2ae zenon_H24c zenon_H190 zenon_H1b6 zenon_H1dd. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_L802_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.56 apply (zenon_L4_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L1026_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.56 apply (zenon_L1028_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.56 apply (zenon_L175_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.56 apply (zenon_L576_); trivial. % 1.40/1.56 apply (zenon_L810_); trivial. % 1.40/1.56 apply (zenon_L814_); trivial. % 1.40/1.56 apply (zenon_L234_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_L802_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.56 apply (zenon_L1032_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L1026_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.56 apply (zenon_L1028_); trivial. % 1.40/1.56 apply (zenon_L1030_); trivial. % 1.40/1.56 apply (zenon_L997_); trivial. % 1.40/1.56 apply (zenon_L1033_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_L912_); trivial. % 1.40/1.56 apply (zenon_L1037_); trivial. % 1.40/1.56 apply (zenon_L814_); trivial. % 1.40/1.56 apply (zenon_L234_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_L1038_); trivial. % 1.40/1.56 apply (zenon_L1033_); trivial. % 1.40/1.56 apply (zenon_L1043_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.56 apply (zenon_L786_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.56 apply (zenon_L1021_); trivial. % 1.40/1.56 apply (zenon_L1045_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.56 apply (zenon_L1023_); trivial. % 1.40/1.56 apply (zenon_L1042_); trivial. % 1.40/1.56 (* end of lemma zenon_L1046_ *) % 1.40/1.56 assert (zenon_L1047_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H227 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hff zenon_H124 zenon_Hdc zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H245 zenon_H85 zenon_Heb. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L986_); trivial. % 1.40/1.56 apply (zenon_L836_); trivial. % 1.40/1.56 (* end of lemma zenon_L1047_ *) % 1.40/1.56 assert (zenon_L1048_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H132 zenon_H189 zenon_H4d zenon_H227 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Heb zenon_H85 zenon_H245 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hdc zenon_H124 zenon_Hff zenon_H130 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H16a zenon_H248 zenon_H190 zenon_H182 zenon_H185 zenon_H1c8 zenon_Hba zenon_H60 zenon_H62 zenon_Hc0 zenon_H88 zenon_Hf1 zenon_H169 zenon_H50. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.56 apply (zenon_L992_); trivial. % 1.40/1.56 apply (zenon_L1047_); trivial. % 1.40/1.56 (* end of lemma zenon_L1048_ *) % 1.40/1.56 assert (zenon_L1049_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (~(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (ndr1_0) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp8)) -> False). % 1.40/1.56 do 0 intro. intros zenon_Hdc zenon_H4a zenon_H38 zenon_H37 zenon_H1b zenon_H60 zenon_H93 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H175 zenon_H176 zenon_H10 zenon_H9 zenon_H1a3 zenon_H7d. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.40/1.56 apply (zenon_L154_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.40/1.56 apply (zenon_L150_); trivial. % 1.40/1.56 exact (zenon_H7d zenon_H7e). % 1.40/1.56 (* end of lemma zenon_L1049_ *) % 1.40/1.56 assert (zenon_L1050_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp8)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H46 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_Hdc zenon_H60 zenon_H93 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H175 zenon_H176 zenon_H9 zenon_H1a3 zenon_H7d. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.40/1.56 apply (zenon_L268_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.40/1.56 apply (zenon_L150_); trivial. % 1.40/1.56 apply (zenon_L1049_); trivial. % 1.40/1.56 (* end of lemma zenon_L1050_ *) % 1.40/1.56 assert (zenon_L1051_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H84 zenon_Heb zenon_Hdc zenon_H93 zenon_H9 zenon_H175 zenon_H176 zenon_H60 zenon_H1a3 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.56 apply (zenon_L726_); trivial. % 1.40/1.56 apply (zenon_L140_); trivial. % 1.40/1.56 (* end of lemma zenon_L1051_ *) % 1.40/1.56 assert (zenon_L1052_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H88 zenon_H271 zenon_Hb zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H80 zenon_H265 zenon_H3 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H1ad zenon_H4d zenon_Heb. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.56 apply (zenon_L726_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.56 apply (zenon_L676_); trivial. % 1.40/1.56 apply (zenon_L1050_); trivial. % 1.40/1.56 apply (zenon_L1051_); trivial. % 1.40/1.56 (* end of lemma zenon_L1052_ *) % 1.40/1.56 assert (zenon_L1053_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c0_1 (a450))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(c0_1 (a435))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1b7 zenon_H98 zenon_H231 zenon_H2ae zenon_H24c zenon_H189 zenon_H174 zenon_H88 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H7d zenon_Hc7 zenon_H80 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1a3 zenon_H176 zenon_H175 zenon_H9 zenon_H93 zenon_H1ad zenon_H4d zenon_Heb zenon_H16a zenon_H103 zenon_Hff zenon_H101 zenon_H9f zenon_H9b zenon_H33 zenon_H190 zenon_H227 zenon_H2ac zenon_H47 zenon_H62 zenon_H182 zenon_H185 zenon_H245 zenon_Hc0 zenon_H85 zenon_Hf1 zenon_H169 zenon_H50 zenon_H1c8 zenon_H248 zenon_H130 zenon_H124 zenon_H2a3 zenon_H16b. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L1052_); trivial. % 1.40/1.56 apply (zenon_L846_); trivial. % 1.40/1.56 apply (zenon_L856_); trivial. % 1.40/1.56 apply (zenon_L1048_); trivial. % 1.40/1.56 apply (zenon_L997_); trivial. % 1.40/1.56 (* end of lemma zenon_L1053_ *) % 1.40/1.56 assert (zenon_L1054_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H168 zenon_H98 zenon_Heb zenon_H231 zenon_H2ae zenon_H24c zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_He7 zenon_H9b zenon_H9f zenon_H85 zenon_H271 zenon_H62 zenon_H1c8 zenon_H16b zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H227 zenon_H4d zenon_H50 zenon_H189. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_L837_); trivial. % 1.40/1.56 apply (zenon_L1016_); trivial. % 1.40/1.56 (* end of lemma zenon_L1054_ *) % 1.40/1.56 assert (zenon_L1055_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.40/1.56 do 0 intro. intros zenon_Hed zenon_H4d zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Hdc zenon_H7d zenon_H1ad zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.56 apply (zenon_L309_); trivial. % 1.40/1.56 apply (zenon_L630_); trivial. % 1.40/1.56 (* end of lemma zenon_L1055_ *) % 1.40/1.56 assert (zenon_L1056_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (ndr1_0) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Hdc zenon_H1ad zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H4d zenon_H1c8 zenon_H9d zenon_H28b zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H10 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H299 zenon_Hc7 zenon_H7d zenon_H51 zenon_H103 zenon_H29e. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.56 apply (zenon_L873_); trivial. % 1.40/1.56 apply (zenon_L1055_); trivial. % 1.40/1.56 (* end of lemma zenon_L1056_ *) % 1.40/1.56 assert (zenon_L1057_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H88 zenon_H29e zenon_H103 zenon_H7d zenon_Hc7 zenon_H299 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H28b zenon_H9d zenon_H1c8 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1ad zenon_Hdc zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Heb. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.56 apply (zenon_L1056_); trivial. % 1.40/1.56 apply (zenon_L592_); trivial. % 1.40/1.56 (* end of lemma zenon_L1057_ *) % 1.40/1.56 assert (zenon_L1058_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H184 zenon_H50 zenon_H227 zenon_H245 zenon_H47 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1ad zenon_Hdc zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_H4d zenon_Heb. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.56 apply (zenon_L726_); trivial. % 1.40/1.56 apply (zenon_L631_); trivial. % 1.40/1.56 apply (zenon_L836_); trivial. % 1.40/1.56 (* end of lemma zenon_L1058_ *) % 1.40/1.56 assert (zenon_L1059_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Hba zenon_H1c8 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H130 zenon_Hff zenon_H124 zenon_Hdc zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H245 zenon_H85 zenon_Heb. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L986_); trivial. % 1.40/1.56 apply (zenon_L1013_); trivial. % 1.40/1.56 (* end of lemma zenon_L1059_ *) % 1.40/1.56 assert (zenon_L1060_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H231 zenon_H2ae zenon_H24c zenon_H85 zenon_H62 zenon_He7 zenon_H124 zenon_Hff zenon_H16b zenon_H50 zenon_Hf1 zenon_Hba zenon_H1ca zenon_H1ad zenon_H4d zenon_H1c8 zenon_H28b zenon_H190 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H299 zenon_H103 zenon_H29e zenon_H88 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H7d zenon_Hc7 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hdc zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Heb zenon_H47 zenon_H245 zenon_H227 zenon_H189. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.56 apply (zenon_L726_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.56 apply (zenon_L568_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.56 apply (zenon_L72_); trivial. % 1.40/1.56 apply (zenon_L184_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.56 apply (zenon_L1057_); trivial. % 1.40/1.56 apply (zenon_L599_); trivial. % 1.40/1.56 apply (zenon_L1058_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L1000_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.56 apply (zenon_L1057_); trivial. % 1.40/1.56 apply (zenon_L596_); trivial. % 1.40/1.56 apply (zenon_L1058_); trivial. % 1.40/1.56 apply (zenon_L1059_); trivial. % 1.40/1.56 apply (zenon_L1015_); trivial. % 1.40/1.56 (* end of lemma zenon_L1060_ *) % 1.40/1.56 assert (zenon_L1061_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H124 zenon_Hff zenon_H1ca zenon_H1ad zenon_H28b zenon_H190 zenon_H299 zenon_H103 zenon_H29e zenon_H7d zenon_Hc7 zenon_Hdc zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H7 zenon_H16b zenon_H1c8 zenon_H62 zenon_H271 zenon_H85 zenon_H9f zenon_H9b zenon_He7 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1 zenon_H24c zenon_H2ae zenon_H231 zenon_Heb zenon_H98 zenon_H168. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.56 apply (zenon_L1054_); trivial. % 1.40/1.56 apply (zenon_L1060_); trivial. % 1.40/1.56 (* end of lemma zenon_L1061_ *) % 1.40/1.56 assert (zenon_L1062_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H218 zenon_H217 zenon_H216 zenon_H10 zenon_H31. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.40/1.56 apply (zenon_L568_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.40/1.56 apply (zenon_L26_); trivial. % 1.40/1.56 apply (zenon_L870_); trivial. % 1.40/1.56 (* end of lemma zenon_L1062_ *) % 1.40/1.56 assert (zenon_L1063_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H4c zenon_H4d zenon_H227 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H47 zenon_H5 zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H55 zenon_H56 zenon_H57 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2ac. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.56 apply (zenon_L1062_); trivial. % 1.40/1.56 apply (zenon_L299_); trivial. % 1.40/1.56 (* end of lemma zenon_L1063_ *) % 1.40/1.56 assert (zenon_L1064_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H168 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1ce zenon_H47 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H227 zenon_H4d zenon_H50 zenon_H189. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.56 apply (zenon_L305_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L7_); trivial. % 1.40/1.56 apply (zenon_L1063_); trivial. % 1.40/1.56 (* end of lemma zenon_L1064_ *) % 1.40/1.56 assert (zenon_L1065_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H85 zenon_H62 zenon_He7 zenon_H124 zenon_Hff zenon_H16b zenon_Hf1 zenon_H1ca zenon_H1c8 zenon_H28b zenon_H299 zenon_H103 zenon_H29e zenon_H130 zenon_H26f zenon_H2bd zenon_H2bc zenon_H2bb zenon_H168 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H7 zenon_Hd zenon_H9 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1ce zenon_H47 zenon_H227 zenon_H4d zenon_H50 zenon_H189 zenon_H88 zenon_H271 zenon_H7d zenon_Hc7 zenon_H80 zenon_H265 zenon_Hba zenon_Hdc zenon_H1a3 zenon_H93 zenon_H1ad zenon_Heb zenon_H190 zenon_H185 zenon_H24c zenon_H2ae zenon_H245 zenon_H231 zenon_H98 zenon_H1b6 zenon_H1d0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.56 apply (zenon_L786_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.56 apply (zenon_L1064_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.56 apply (zenon_L1052_); trivial. % 1.40/1.56 apply (zenon_L295_); trivial. % 1.40/1.56 apply (zenon_L423_); trivial. % 1.40/1.56 apply (zenon_L997_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.56 apply (zenon_L1064_); trivial. % 1.40/1.56 apply (zenon_L1060_); trivial. % 1.40/1.56 (* end of lemma zenon_L1065_ *) % 1.40/1.56 assert (zenon_L1066_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a492))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> False). % 1.40/1.56 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H175 zenon_H176 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_H10 zenon_Hcd zenon_H64 zenon_Hd0 zenon_Hcf. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.40/1.56 apply (zenon_L568_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.40/1.56 apply (zenon_L229_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.40/1.56 apply (zenon_L71_); trivial. % 1.40/1.56 apply (zenon_L137_); trivial. % 1.40/1.56 apply (zenon_L71_); trivial. % 1.40/1.56 (* end of lemma zenon_L1066_ *) % 1.40/1.56 assert (zenon_L1067_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp6)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp16)) -> False). % 1.40/1.56 do 0 intro. intros zenon_Hed zenon_H130 zenon_H1a7 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H1a3 zenon_H9 zenon_H176 zenon_H175 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H93 zenon_H60. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.56 apply (zenon_L568_); trivial. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.56 apply (zenon_L1066_); trivial. % 1.40/1.56 apply (zenon_L829_); trivial. % 1.40/1.56 (* end of lemma zenon_L1067_ *) % 1.40/1.56 assert (zenon_L1068_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H1d1 zenon_H98 zenon_H24c zenon_H161 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H218 zenon_H217 zenon_H216 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H1a3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H1a7 zenon_H9 zenon_H93 zenon_H130 zenon_Heb. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.56 apply (zenon_L882_); trivial. % 1.40/1.56 apply (zenon_L1067_); trivial. % 1.40/1.56 apply (zenon_L997_); trivial. % 1.40/1.56 (* end of lemma zenon_L1068_ *) % 1.40/1.56 assert (zenon_L1069_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H16b zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1c8 zenon_H62 zenon_H60 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85 zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H55 zenon_H56 zenon_H57 zenon_He7. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_L233_); trivial. % 1.40/1.56 apply (zenon_L1014_); trivial. % 1.40/1.56 (* end of lemma zenon_L1069_ *) % 1.40/1.56 assert (zenon_L1070_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H95 zenon_H16b zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1c8 zenon_H1b2 zenon_H1b4 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H55 zenon_H56 zenon_H57 zenon_He7. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.56 apply (zenon_L233_); trivial. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.56 apply (zenon_L329_); trivial. % 1.40/1.56 apply (zenon_L593_); trivial. % 1.40/1.56 (* end of lemma zenon_L1070_ *) % 1.40/1.56 assert (zenon_L1071_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.56 do 0 intro. intros zenon_H165 zenon_H98 zenon_H1b2 zenon_H1b4 zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H1c8 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H16b. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.56 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.56 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.56 apply (zenon_L1069_); trivial. % 1.40/1.56 apply (zenon_L1070_); trivial. % 1.40/1.56 (* end of lemma zenon_L1071_ *) % 1.40/1.56 assert (zenon_L1072_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H168 zenon_H98 zenon_H1b4 zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H85 zenon_H271 zenon_H62 zenon_H1c8 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H16b zenon_H7 zenon_H5 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b zenon_H4d zenon_H189. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.57 apply (zenon_L935_); trivial. % 1.40/1.57 apply (zenon_L1071_); trivial. % 1.40/1.57 (* end of lemma zenon_L1072_ *) % 1.40/1.57 assert (zenon_L1073_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.57 apply (zenon_L691_); trivial. % 1.40/1.57 apply (zenon_L176_); trivial. % 1.40/1.57 (* end of lemma zenon_L1073_ *) % 1.40/1.57 assert (zenon_L1074_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H93 zenon_H9 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.57 apply (zenon_L232_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_L233_); trivial. % 1.40/1.57 apply (zenon_L1073_); trivial. % 1.40/1.57 (* end of lemma zenon_L1074_ *) % 1.40/1.57 assert (zenon_L1075_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H93 zenon_H9 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H9b zenon_H9f zenon_H22b zenon_H1b2 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H16b. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.57 apply (zenon_L699_); trivial. % 1.40/1.57 apply (zenon_L1074_); trivial. % 1.40/1.57 (* end of lemma zenon_L1075_ *) % 1.40/1.57 assert (zenon_L1076_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1ef zenon_H1d0 zenon_H98 zenon_H24c zenon_H161 zenon_H245 zenon_H218 zenon_H217 zenon_H216 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H1a3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H1a7 zenon_H9 zenon_H93 zenon_H130 zenon_Heb zenon_H2bb zenon_H2bc zenon_H2bd zenon_H26f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.57 apply (zenon_L786_); trivial. % 1.40/1.57 apply (zenon_L1068_); trivial. % 1.40/1.57 (* end of lemma zenon_L1076_ *) % 1.40/1.57 assert (zenon_L1077_ : ((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H24e zenon_H1f2 zenon_H1d0 zenon_H1a3 zenon_H1a7 zenon_H16b zenon_H189 zenon_H227 zenon_H33 zenon_H47 zenon_H4d zenon_H88 zenon_H62 zenon_H130 zenon_Hba zenon_H22b zenon_H1b2 zenon_Hff zenon_H124 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H245 zenon_H271 zenon_H85 zenon_H16a zenon_H248 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H190 zenon_H185 zenon_Hc0 zenon_H161 zenon_H169 zenon_H50 zenon_H9f zenon_He7 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H26f zenon_Hf1 zenon_H24c zenon_H2ae zenon_H231 zenon_H93 zenon_H9 zenon_Heb zenon_H98 zenon_H168 zenon_H1b4 zenon_H7 zenon_H1ca zenon_H1b6 zenon_H1dd. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_L802_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L851_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.57 apply (zenon_L990_); trivial. % 1.40/1.57 apply (zenon_L343_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.57 apply (zenon_L297_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.40/1.57 apply (zenon_L834_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.40/1.57 apply (zenon_L80_); trivial. % 1.40/1.57 exact (zenon_H1b2 zenon_H1b3). % 1.40/1.57 apply (zenon_L740_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.57 apply (zenon_L850_); trivial. % 1.40/1.57 apply (zenon_L993_); trivial. % 1.40/1.57 apply (zenon_L343_); trivial. % 1.40/1.57 apply (zenon_L836_); trivial. % 1.40/1.57 apply (zenon_L997_); trivial. % 1.40/1.57 apply (zenon_L1068_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.57 apply (zenon_L1072_); trivial. % 1.40/1.57 apply (zenon_L1075_); trivial. % 1.40/1.57 apply (zenon_L1076_); trivial. % 1.40/1.57 (* end of lemma zenon_L1077_ *) % 1.40/1.57 assert (zenon_L1078_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4d zenon_H245 zenon_H13c zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.57 apply (zenon_L650_); trivial. % 1.40/1.57 apply (zenon_L890_); trivial. % 1.40/1.57 (* end of lemma zenon_L1078_ *) % 1.40/1.57 assert (zenon_L1079_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H152 zenon_H227 zenon_H1e zenon_H1c zenon_H26 zenon_H7d zenon_H80 zenon_Hba zenon_H51 zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.57 apply (zenon_L1078_); trivial. % 1.40/1.57 apply (zenon_L898_); trivial. % 1.40/1.57 (* end of lemma zenon_L1079_ *) % 1.40/1.57 assert (zenon_L1080_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a442)) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4d zenon_H245 zenon_H253 zenon_H13c zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H65 zenon_H66 zenon_H67 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H130. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.57 apply (zenon_L653_); trivial. % 1.40/1.57 apply (zenon_L890_); trivial. % 1.40/1.57 (* end of lemma zenon_L1080_ *) % 1.40/1.57 assert (zenon_L1081_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H253 zenon_H245 zenon_H4d. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.57 apply (zenon_L1080_); trivial. % 1.40/1.57 apply (zenon_L129_); trivial. % 1.40/1.57 (* end of lemma zenon_L1081_ *) % 1.40/1.57 assert (zenon_L1082_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4c zenon_H88 zenon_H130 zenon_H2a3 zenon_H4d zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H80 zenon_H7d zenon_H227 zenon_H152. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.57 apply (zenon_L1079_); trivial. % 1.40/1.57 apply (zenon_L1081_); trivial. % 1.40/1.57 (* end of lemma zenon_L1082_ *) % 1.40/1.57 assert (zenon_L1083_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H50 zenon_H88 zenon_H130 zenon_H2a3 zenon_H4d zenon_H267 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H80 zenon_H7d zenon_H227 zenon_H152 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L1000_); trivial. % 1.40/1.57 apply (zenon_L1082_); trivial. % 1.40/1.57 (* end of lemma zenon_L1083_ *) % 1.40/1.57 assert (zenon_L1084_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H152 zenon_H227 zenon_H7d zenon_H80 zenon_H185 zenon_H182 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H2ac zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H4d zenon_H99 zenon_H9b zenon_H9f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.57 apply (zenon_L45_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.57 apply (zenon_L570_); trivial. % 1.40/1.57 apply (zenon_L890_); trivial. % 1.40/1.57 apply (zenon_L898_); trivial. % 1.40/1.57 (* end of lemma zenon_L1084_ *) % 1.40/1.57 assert (zenon_L1085_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.40/1.57 apply (zenon_L568_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.40/1.57 apply (zenon_L38_); trivial. % 1.40/1.57 apply (zenon_L452_); trivial. % 1.40/1.57 (* end of lemma zenon_L1085_ *) % 1.40/1.57 assert (zenon_L1086_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H8a zenon_H8b zenon_H8c zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H2ae. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.57 apply (zenon_L1085_); trivial. % 1.40/1.57 apply (zenon_L1081_); trivial. % 1.40/1.57 (* end of lemma zenon_L1086_ *) % 1.40/1.57 assert (zenon_L1087_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.40/1.57 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H8a zenon_H8b zenon_H8c zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H2ae zenon_H99 zenon_H9b zenon_H9f. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.57 apply (zenon_L45_); trivial. % 1.40/1.57 apply (zenon_L1086_); trivial. % 1.40/1.57 (* end of lemma zenon_L1087_ *) % 1.40/1.57 assert (zenon_L1088_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp11)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H184 zenon_H185 zenon_H8c zenon_H8b zenon_H8a zenon_H55 zenon_H56 zenon_H57 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H182. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.40/1.57 apply (zenon_L568_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.40/1.57 apply (zenon_L26_); trivial. % 1.40/1.57 apply (zenon_L91_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.40/1.57 apply (zenon_L9_); trivial. % 1.40/1.57 exact (zenon_H182 zenon_H183). % 1.40/1.57 (* end of lemma zenon_L1088_ *) % 1.40/1.57 assert (zenon_L1089_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H152 zenon_H271 zenon_Hb zenon_Hba zenon_H51 zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.57 apply (zenon_L1078_); trivial. % 1.40/1.57 apply (zenon_L895_); trivial. % 1.40/1.57 (* end of lemma zenon_L1089_ *) % 1.40/1.57 assert (zenon_L1090_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H88 zenon_H80 zenon_H7d zenon_H130 zenon_H2a3 zenon_H4d zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_Hb zenon_H271 zenon_H152. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.57 apply (zenon_L1089_); trivial. % 1.40/1.57 apply (zenon_L1081_); trivial. % 1.40/1.57 (* end of lemma zenon_L1090_ *) % 1.40/1.57 assert (zenon_L1091_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp21)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H16a zenon_Hf1 zenon_H88 zenon_H248 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H185 zenon_H182 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_Hbc zenon_Hc0 zenon_H152. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.57 apply (zenon_L902_); trivial. % 1.40/1.57 apply (zenon_L989_); trivial. % 1.40/1.57 (* end of lemma zenon_L1091_ *) % 1.40/1.57 assert (zenon_L1092_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4c zenon_H169 zenon_H2ae zenon_H152 zenon_Hc0 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_Hba zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H248 zenon_H88 zenon_Hf1 zenon_H16a. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.57 apply (zenon_L1091_); trivial. % 1.40/1.57 apply (zenon_L662_); trivial. % 1.40/1.57 (* end of lemma zenon_L1092_ *) % 1.40/1.57 assert (zenon_L1093_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H50 zenon_H169 zenon_H2ae zenon_Hc0 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H182 zenon_H185 zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_H248 zenon_Hf1 zenon_H16a zenon_H152 zenon_H271 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H130 zenon_H7d zenon_H80 zenon_H88. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L1090_); trivial. % 1.40/1.57 apply (zenon_L1092_); trivial. % 1.40/1.57 (* end of lemma zenon_L1093_ *) % 1.40/1.57 assert (zenon_L1094_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H132 zenon_H189 zenon_H103 zenon_H88 zenon_H80 zenon_H7d zenon_H130 zenon_H2a3 zenon_H4d zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H271 zenon_H152 zenon_H16a zenon_Hf1 zenon_H248 zenon_H1c8 zenon_H185 zenon_H182 zenon_H190 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_Hc0 zenon_H2ae zenon_H169 zenon_H50. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.57 apply (zenon_L1093_); trivial. % 1.40/1.57 apply (zenon_L130_); trivial. % 1.40/1.57 (* end of lemma zenon_L1094_ *) % 1.40/1.57 assert (zenon_L1095_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H95 zenon_H16b zenon_H103 zenon_H271 zenon_H16a zenon_H248 zenon_H1c8 zenon_H190 zenon_H13e zenon_Hc0 zenon_H169 zenon_H50 zenon_Hf1 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H2ae zenon_H9b zenon_H9f zenon_H2ac zenon_H57 zenon_H56 zenon_H55 zenon_H182 zenon_H185 zenon_H189. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.57 apply (zenon_L1087_); trivial. % 1.40/1.57 apply (zenon_L1088_); trivial. % 1.40/1.57 apply (zenon_L1094_); trivial. % 1.40/1.57 (* end of lemma zenon_L1095_ *) % 1.40/1.57 assert (zenon_L1096_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H50 zenon_H227 zenon_H152 zenon_H271 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H130 zenon_H7d zenon_H80 zenon_H88. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L1090_); trivial. % 1.40/1.57 apply (zenon_L1082_); trivial. % 1.40/1.57 (* end of lemma zenon_L1096_ *) % 1.40/1.57 assert (zenon_L1097_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_H33 zenon_H2ac zenon_H99 zenon_H9b zenon_H9f zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H88 zenon_H80 zenon_H7d zenon_H130 zenon_H2a3 zenon_H4d zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H271 zenon_H152 zenon_H227 zenon_H50. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.57 apply (zenon_L1096_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L751_); trivial. % 1.40/1.57 apply (zenon_L1084_); trivial. % 1.40/1.57 (* end of lemma zenon_L1097_ *) % 1.40/1.57 assert (zenon_L1098_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp11)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H84 zenon_H185 zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H26 zenon_H1e zenon_H1c zenon_H55 zenon_H56 zenon_H57 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H182. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.40/1.57 apply (zenon_L118_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.40/1.57 apply (zenon_L1018_); trivial. % 1.40/1.57 exact (zenon_H182 zenon_H183). % 1.40/1.57 (* end of lemma zenon_L1098_ *) % 1.40/1.57 assert (zenon_L1099_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.57 apply (zenon_L175_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.57 apply (zenon_L84_); trivial. % 1.40/1.57 apply (zenon_L1098_); trivial. % 1.40/1.57 (* end of lemma zenon_L1099_ *) % 1.40/1.57 assert (zenon_L1100_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H132 zenon_H50 zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_Hba zenon_H1c8 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L1000_); trivial. % 1.40/1.57 apply (zenon_L1099_); trivial. % 1.40/1.57 (* end of lemma zenon_L1100_ *) % 1.40/1.57 assert (zenon_L1101_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H95 zenon_H16b zenon_H271 zenon_H16a zenon_H248 zenon_H1c8 zenon_H190 zenon_Hc0 zenon_H169 zenon_H50 zenon_Hf1 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H2ae zenon_H9b zenon_H9f zenon_H185 zenon_H182 zenon_H103 zenon_H13e zenon_H189. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.57 apply (zenon_L1087_); trivial. % 1.40/1.57 apply (zenon_L130_); trivial. % 1.40/1.57 apply (zenon_L1094_); trivial. % 1.40/1.57 (* end of lemma zenon_L1101_ *) % 1.40/1.57 assert (zenon_L1102_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H189 zenon_H88 zenon_H80 zenon_H7d zenon_H130 zenon_H2a3 zenon_H4d zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H271 zenon_H152 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H190 zenon_H182 zenon_H185 zenon_H50. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L1090_); trivial. % 1.40/1.57 apply (zenon_L295_); trivial. % 1.40/1.57 apply (zenon_L423_); trivial. % 1.40/1.57 (* end of lemma zenon_L1102_ *) % 1.40/1.57 assert (zenon_L1103_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a442)) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H4d zenon_H245 zenon_H253 zenon_H13c zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H10 zenon_H9d zenon_H126 zenon_H128. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.57 apply (zenon_L383_); trivial. % 1.40/1.57 apply (zenon_L890_); trivial. % 1.40/1.57 (* end of lemma zenon_L1103_ *) % 1.40/1.57 assert (zenon_L1104_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H152 zenon_H271 zenon_Hb zenon_H128 zenon_H126 zenon_H9d zenon_H10 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H253 zenon_H245 zenon_H4d. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.57 apply (zenon_L1103_); trivial. % 1.40/1.57 apply (zenon_L895_); trivial. % 1.40/1.57 (* end of lemma zenon_L1104_ *) % 1.40/1.57 assert (zenon_L1105_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H16e zenon_H152 zenon_H271 zenon_Hb zenon_H2bd zenon_H2bc zenon_H2bb zenon_H55 zenon_H56 zenon_H57 zenon_H26f zenon_H2b zenon_H116 zenon_H115 zenon_H11f zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_H248. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.57 apply (zenon_L372_); trivial. % 1.40/1.57 apply (zenon_L895_); trivial. % 1.40/1.57 (* end of lemma zenon_L1105_ *) % 1.40/1.57 assert (zenon_L1106_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H175 zenon_H176 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_H11e zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.40/1.57 apply (zenon_L568_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.40/1.57 apply (zenon_L229_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.40/1.57 apply (zenon_L365_); trivial. % 1.40/1.57 apply (zenon_L137_); trivial. % 1.40/1.57 apply (zenon_L365_); trivial. % 1.40/1.57 (* end of lemma zenon_L1106_ *) % 1.40/1.57 assert (zenon_L1107_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp7)) -> (~(hskp23)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H130 zenon_H126 zenon_H9d zenon_H128 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H175 zenon_H176 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.57 apply (zenon_L568_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.57 apply (zenon_L807_); trivial. % 1.40/1.57 apply (zenon_L1106_); trivial. % 1.40/1.57 (* end of lemma zenon_L1107_ *) % 1.40/1.57 assert (zenon_L1108_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H175 zenon_H176 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.40/1.57 apply (zenon_L568_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.40/1.57 apply (zenon_L229_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.40/1.57 apply (zenon_L452_); trivial. % 1.40/1.57 apply (zenon_L137_); trivial. % 1.40/1.57 apply (zenon_L452_); trivial. % 1.40/1.57 (* end of lemma zenon_L1108_ *) % 1.40/1.57 assert (zenon_L1109_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.40/1.57 do 0 intro. intros zenon_H84 zenon_H130 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H175 zenon_H176 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_H252 zenon_H253 zenon_H254. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.57 apply (zenon_L568_); trivial. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.57 apply (zenon_L30_); trivial. % 1.40/1.57 apply (zenon_L1106_); trivial. % 1.40/1.57 (* end of lemma zenon_L1109_ *) % 1.40/1.57 assert (zenon_L1110_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1a7 zenon_H175 zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2ae. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.57 apply (zenon_L1108_); trivial. % 1.40/1.57 apply (zenon_L1109_); trivial. % 1.40/1.57 (* end of lemma zenon_L1110_ *) % 1.40/1.57 assert (zenon_L1111_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H1d1 zenon_Hf1 zenon_H88 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H128 zenon_H126 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2ae zenon_H252 zenon_H253 zenon_H254 zenon_H1a7 zenon_H130. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.57 apply (zenon_L1107_); trivial. % 1.40/1.57 apply (zenon_L1110_); trivial. % 1.40/1.57 (* end of lemma zenon_L1111_ *) % 1.40/1.57 assert (zenon_L1112_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H24d zenon_H26f zenon_H1a3 zenon_H1dd zenon_H1a7 zenon_He7 zenon_H168 zenon_H98 zenon_H103 zenon_H16a zenon_H248 zenon_H190 zenon_H13e zenon_Hc0 zenon_H169 zenon_H2ae zenon_H189 zenon_Hf1 zenon_H185 zenon_H33 zenon_H2ac zenon_H9f zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H152 zenon_H227 zenon_H80 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H267 zenon_H4d zenon_H2a3 zenon_H130 zenon_H88 zenon_H50 zenon_H1c8 zenon_H16b zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H1a5 zenon_H126 zenon_H128 zenon_H7 zenon_Heb zenon_H275 zenon_Hdc zenon_Hc7 zenon_H1ad zenon_H16c zenon_H124 zenon_Hff zenon_H1b6 zenon_H1d0 zenon_H1f2. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.57 apply (zenon_L348_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.57 apply (zenon_L1083_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L1000_); trivial. % 1.40/1.57 apply (zenon_L1084_); trivial. % 1.40/1.57 apply (zenon_L1001_); trivial. % 1.40/1.57 apply (zenon_L1095_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_L1097_); trivial. % 1.40/1.57 apply (zenon_L758_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_L1097_); trivial. % 1.40/1.57 apply (zenon_L974_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_L1097_); trivial. % 1.40/1.57 apply (zenon_L1100_); trivial. % 1.40/1.57 apply (zenon_L1095_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_L1097_); trivial. % 1.40/1.57 apply (zenon_L1012_); trivial. % 1.40/1.57 apply (zenon_L1101_); trivial. % 1.40/1.57 apply (zenon_L669_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.57 apply (zenon_L1102_); trivial. % 1.40/1.57 apply (zenon_L669_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.57 apply (zenon_L348_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.57 apply (zenon_L232_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.57 apply (zenon_L233_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.57 apply (zenon_L1104_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.57 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.57 apply (zenon_L84_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.57 apply (zenon_L1080_); trivial. % 1.40/1.57 apply (zenon_L244_); trivial. % 1.40/1.57 apply (zenon_L1105_); trivial. % 1.40/1.57 apply (zenon_L662_); trivial. % 1.40/1.57 apply (zenon_L1092_); trivial. % 1.40/1.57 apply (zenon_L1088_); trivial. % 1.40/1.57 apply (zenon_L1111_); trivial. % 1.40/1.57 apply (zenon_L669_); trivial. % 1.40/1.57 (* end of lemma zenon_L1112_ *) % 1.40/1.57 assert (zenon_L1113_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H227 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L1000_); trivial. % 1.40/1.57 apply (zenon_L836_); trivial. % 1.40/1.57 (* end of lemma zenon_L1113_ *) % 1.40/1.57 assert (zenon_L1114_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.40/1.57 do 0 intro. intros zenon_H50 zenon_H169 zenon_H2ae zenon_Hc0 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H182 zenon_H185 zenon_H9f zenon_H9b zenon_H99 zenon_H210 zenon_H175 zenon_H176 zenon_H174 zenon_Hf1 zenon_H16a zenon_H152 zenon_H271 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H130 zenon_H7d zenon_H80 zenon_H88. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.57 apply (zenon_L1090_); trivial. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.57 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.57 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.57 apply (zenon_L902_); trivial. % 1.40/1.57 apply (zenon_L680_); trivial. % 1.40/1.57 apply (zenon_L662_); trivial. % 1.40/1.57 (* end of lemma zenon_L1114_ *) % 1.40/1.57 assert (zenon_L1115_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H189 zenon_H227 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H88 zenon_H80 zenon_H7d zenon_H130 zenon_H2a3 zenon_H4d zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H271 zenon_H152 zenon_H16a zenon_Hf1 zenon_H174 zenon_H176 zenon_H175 zenon_H210 zenon_H99 zenon_H9b zenon_H9f zenon_H185 zenon_H182 zenon_H190 zenon_H8a zenon_H8b zenon_H8c zenon_H13e zenon_Hc0 zenon_H2ae zenon_H169 zenon_H50. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L1114_); trivial. % 1.40/1.58 apply (zenon_L856_); trivial. % 1.40/1.58 (* end of lemma zenon_L1115_ *) % 1.40/1.58 assert (zenon_L1116_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H50 zenon_H169 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hf1 zenon_H85 zenon_Hc0 zenon_H185 zenon_H182 zenon_H62 zenon_H60 zenon_H47 zenon_H2ac zenon_H227 zenon_H190 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H99 zenon_H9b zenon_H9f zenon_H210 zenon_H175 zenon_H176 zenon_H174 zenon_H16a zenon_H152 zenon_H271 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H130 zenon_H7d zenon_H80 zenon_H88. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L1090_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.58 apply (zenon_L844_); trivial. % 1.40/1.58 apply (zenon_L680_); trivial. % 1.40/1.58 apply (zenon_L77_); trivial. % 1.40/1.58 (* end of lemma zenon_L1116_ *) % 1.40/1.58 assert (zenon_L1117_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1d0 zenon_H1b6 zenon_Hdc zenon_Hc7 zenon_Hff zenon_H124 zenon_Heb zenon_H7 zenon_H1ce zenon_H210 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H189 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H152 zenon_H227 zenon_H7d zenon_H80 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H267 zenon_H4d zenon_H2a3 zenon_H130 zenon_H88 zenon_H50 zenon_H185 zenon_H182 zenon_H2ac zenon_H9f zenon_H9b zenon_H2ae zenon_Hf1 zenon_H169 zenon_Hc0 zenon_H13e zenon_H190 zenon_H1c8 zenon_H248 zenon_H16a zenon_H103 zenon_H16b zenon_H98 zenon_H168. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L348_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L1083_); trivial. % 1.40/1.58 apply (zenon_L1113_); trivial. % 1.40/1.58 apply (zenon_L1095_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L857_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L1000_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.58 apply (zenon_L1079_); trivial. % 1.40/1.58 apply (zenon_L196_); trivial. % 1.40/1.58 apply (zenon_L856_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L1115_); trivial. % 1.40/1.58 apply (zenon_L1094_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L1116_); trivial. % 1.40/1.58 apply (zenon_L856_); trivial. % 1.40/1.58 apply (zenon_L1048_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L1115_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L1093_); trivial. % 1.40/1.58 apply (zenon_L1047_); trivial. % 1.40/1.58 (* end of lemma zenon_L1117_ *) % 1.40/1.58 assert (zenon_L1118_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a435))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1b7 zenon_H189 zenon_H227 zenon_H245 zenon_H47 zenon_H88 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H7d zenon_Hc7 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2a3 zenon_H1ad zenon_Hdc zenon_H218 zenon_H217 zenon_H216 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_H4d zenon_Heb zenon_H29e zenon_H103 zenon_H299 zenon_H33 zenon_H190 zenon_H28b zenon_H1c8 zenon_H2ae zenon_H176 zenon_H175 zenon_H1a7 zenon_Hf1 zenon_H50. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.58 apply (zenon_L726_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L650_); trivial. % 1.40/1.58 apply (zenon_L630_); trivial. % 1.40/1.58 apply (zenon_L592_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.58 apply (zenon_L1057_); trivial. % 1.40/1.58 apply (zenon_L667_); trivial. % 1.40/1.58 apply (zenon_L1058_); trivial. % 1.40/1.58 (* end of lemma zenon_L1118_ *) % 1.40/1.58 assert (zenon_L1119_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H1d0 zenon_H1b6 zenon_Hc7 zenon_H1ad zenon_Hdc zenon_H29e zenon_H103 zenon_H299 zenon_H28b zenon_H1c8 zenon_H1a7 zenon_Hf1 zenon_H227 zenon_H47 zenon_H1ce zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7 zenon_H2ac zenon_H62 zenon_H85 zenon_H24c zenon_H2ae zenon_H231 zenon_Heb zenon_H98 zenon_H168 zenon_H26f zenon_H50 zenon_H185 zenon_H190 zenon_H152 zenon_H271 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H4d zenon_H2a3 zenon_H130 zenon_H7d zenon_H80 zenon_H88 zenon_H189. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_L1102_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L786_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L938_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L1000_); trivial. % 1.40/1.58 apply (zenon_L1063_); trivial. % 1.40/1.58 apply (zenon_L1015_); trivial. % 1.40/1.58 apply (zenon_L1118_); trivial. % 1.40/1.58 (* end of lemma zenon_L1119_ *) % 1.40/1.58 assert (zenon_L1120_ : ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a444)) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (~(c3_1 (a444))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H265 zenon_H1f5 zenon_H11e zenon_H1f4 zenon_H10 zenon_H31 zenon_H3. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H20c | zenon_intro zenon_H266 ]. % 1.40/1.58 apply (zenon_L249_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H32 | zenon_intro zenon_H4 ]. % 1.40/1.58 exact (zenon_H31 zenon_H32). % 1.40/1.58 exact (zenon_H3 zenon_H4). % 1.40/1.58 (* end of lemma zenon_L1120_ *) % 1.40/1.58 assert (zenon_L1121_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> (~(c0_1 (a444))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H216 zenon_H217 zenon_H218 zenon_H1f3 zenon_H161 zenon_H265 zenon_H1f5 zenon_H1f4 zenon_H10 zenon_H31 zenon_H3. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.58 apply (zenon_L568_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.58 apply (zenon_L561_); trivial. % 1.40/1.58 apply (zenon_L1120_); trivial. % 1.40/1.58 (* end of lemma zenon_L1121_ *) % 1.40/1.58 assert (zenon_L1122_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H4c zenon_H169 zenon_H161 zenon_H218 zenon_H217 zenon_H216 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H152 zenon_Hc0 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_Hba zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H248 zenon_H88 zenon_Hf1 zenon_H16a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.58 apply (zenon_L1091_); trivial. % 1.40/1.58 apply (zenon_L343_); trivial. % 1.40/1.58 (* end of lemma zenon_L1122_ *) % 1.40/1.58 assert (zenon_L1123_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.40/1.58 do 0 intro. intros zenon_Hed zenon_H130 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H175 zenon_H176 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_H252 zenon_H253 zenon_H254. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.58 apply (zenon_L568_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.58 apply (zenon_L1066_); trivial. % 1.40/1.58 apply (zenon_L1106_); trivial. % 1.40/1.58 (* end of lemma zenon_L1123_ *) % 1.40/1.58 assert (zenon_L1124_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (ndr1_0) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_Heb zenon_H130 zenon_H254 zenon_H253 zenon_H252 zenon_H1a7 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H231 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H10 zenon_H216 zenon_H217 zenon_H218 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H161 zenon_H24c. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.58 apply (zenon_L882_); trivial. % 1.40/1.58 apply (zenon_L1123_); trivial. % 1.40/1.58 (* end of lemma zenon_L1124_ *) % 1.40/1.58 assert (zenon_L1125_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H46 zenon_H24c zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H13c zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.40/1.58 apply (zenon_L335_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.40/1.58 apply (zenon_L719_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.40/1.58 apply (zenon_L336_); trivial. % 1.40/1.58 apply (zenon_L353_); trivial. % 1.40/1.58 (* end of lemma zenon_L1125_ *) % 1.40/1.58 assert (zenon_L1126_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H4d zenon_H24c zenon_H245 zenon_H13c zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L650_); trivial. % 1.40/1.58 apply (zenon_L1125_); trivial. % 1.40/1.58 (* end of lemma zenon_L1126_ *) % 1.40/1.58 assert (zenon_L1127_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H88 zenon_Heb zenon_H130 zenon_H1a7 zenon_H175 zenon_H176 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2ae zenon_H2a3 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H245 zenon_H24c zenon_H4d zenon_Hb zenon_H271 zenon_H152. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.58 apply (zenon_L1126_); trivial. % 1.40/1.58 apply (zenon_L1123_); trivial. % 1.40/1.58 apply (zenon_L895_); trivial. % 1.40/1.58 apply (zenon_L1109_); trivial. % 1.40/1.58 (* end of lemma zenon_L1127_ *) % 1.40/1.58 assert (zenon_L1128_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H4c zenon_H152 zenon_H1ca zenon_H1 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H3 zenon_H182 zenon_H185. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.58 apply (zenon_L121_); trivial. % 1.40/1.58 apply (zenon_L442_); trivial. % 1.40/1.58 (* end of lemma zenon_L1128_ *) % 1.40/1.58 assert (zenon_L1129_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.58 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H1a7 zenon_H175 zenon_H176 zenon_H254 zenon_H253 zenon_H252 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.58 apply (zenon_L84_); trivial. % 1.40/1.58 apply (zenon_L1109_); trivial. % 1.40/1.58 (* end of lemma zenon_L1129_ *) % 1.40/1.58 assert (zenon_L1130_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H50 zenon_Hf1 zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H152 zenon_H271 zenon_H4d zenon_H24c zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_H231 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H2a3 zenon_H2ae zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H176 zenon_H175 zenon_H1a7 zenon_H130 zenon_Heb zenon_H88. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L1127_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.58 apply (zenon_L175_); trivial. % 1.40/1.58 apply (zenon_L1129_); trivial. % 1.40/1.58 (* end of lemma zenon_L1130_ *) % 1.40/1.58 assert (zenon_L1131_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H165 zenon_H98 zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H231 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2ae zenon_H24c zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_L232_); trivial. % 1.40/1.58 apply (zenon_L1015_); trivial. % 1.40/1.58 (* end of lemma zenon_L1131_ *) % 1.40/1.58 assert (zenon_L1132_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.40/1.58 do 0 intro. intros zenon_Hed zenon_H130 zenon_H1a7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H176 zenon_H175 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H1ba zenon_H1bc zenon_H1bb. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.58 apply (zenon_L568_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.58 apply (zenon_L1066_); trivial. % 1.40/1.58 apply (zenon_L184_); trivial. % 1.40/1.58 (* end of lemma zenon_L1132_ *) % 1.40/1.58 assert (zenon_L1133_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (ndr1_0) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H1a7 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1a3 zenon_H60 zenon_H176 zenon_H175 zenon_H231 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H10 zenon_H216 zenon_H217 zenon_H218 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H161 zenon_H24c. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.58 apply (zenon_L882_); trivial. % 1.40/1.58 apply (zenon_L1132_); trivial. % 1.40/1.58 (* end of lemma zenon_L1133_ *) % 1.40/1.58 assert (zenon_L1134_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1d1 zenon_H98 zenon_H24c zenon_H161 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H218 zenon_H217 zenon_H216 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H231 zenon_H1a3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H1a7 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Heb. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_L1133_); trivial. % 1.40/1.58 apply (zenon_L1015_); trivial. % 1.40/1.58 (* end of lemma zenon_L1134_ *) % 1.40/1.58 assert (zenon_L1135_ : ((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H24e zenon_H1dd zenon_H168 zenon_H98 zenon_H16b zenon_H189 zenon_H2ac zenon_H152 zenon_H271 zenon_H24c zenon_H2ae zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H231 zenon_H130 zenon_H265 zenon_H216 zenon_H217 zenon_H218 zenon_H161 zenon_H267 zenon_H4d zenon_Heb zenon_H16a zenon_Hf1 zenon_H88 zenon_H248 zenon_Hba zenon_H1c8 zenon_H185 zenon_H190 zenon_H13e zenon_Hc0 zenon_H169 zenon_H50 zenon_He7 zenon_H62 zenon_H1a3 zenon_H85 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H227 zenon_H47 zenon_H33 zenon_H1ca zenon_H1a7 zenon_H1d0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L348_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_L232_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L233_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.58 apply (zenon_L996_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L1121_); trivial. % 1.40/1.58 apply (zenon_L890_); trivial. % 1.40/1.58 apply (zenon_L895_); trivial. % 1.40/1.58 apply (zenon_L1122_); trivial. % 1.40/1.58 apply (zenon_L1088_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_L1124_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L1127_); trivial. % 1.40/1.58 apply (zenon_L1128_); trivial. % 1.40/1.58 apply (zenon_L856_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_L232_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L233_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L1130_); trivial. % 1.40/1.58 apply (zenon_L1088_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L348_); trivial. % 1.40/1.58 apply (zenon_L1131_); trivial. % 1.40/1.58 apply (zenon_L1134_); trivial. % 1.40/1.58 (* end of lemma zenon_L1135_ *) % 1.40/1.58 assert (zenon_L1136_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hb3 zenon_Hde zenon_Hb1 zenon_Hc7 zenon_H38 zenon_H37 zenon_H10 zenon_Hc5 zenon_H7d. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.40/1.58 apply (zenon_L568_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.40/1.58 apply (zenon_L60_); trivial. % 1.40/1.58 apply (zenon_L68_); trivial. % 1.40/1.58 (* end of lemma zenon_L1136_ *) % 1.40/1.58 assert (zenon_L1137_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(hskp26)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp19)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H46 zenon_H185 zenon_H7d zenon_Hc5 zenon_Hc7 zenon_Hb1 zenon_Hb3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H3 zenon_H1c zenon_H1e zenon_H26 zenon_H190 zenon_H182. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.40/1.58 apply (zenon_L1136_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.40/1.58 apply (zenon_L116_); trivial. % 1.40/1.58 exact (zenon_H182 zenon_H183). % 1.40/1.58 (* end of lemma zenon_L1137_ *) % 1.40/1.58 assert (zenon_L1138_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H4c zenon_H169 zenon_Hf1 zenon_H88 zenon_Heb zenon_H285 zenon_H27e zenon_H27d zenon_H27c zenon_Hdc zenon_Hc7 zenon_H7d zenon_H80 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hc0 zenon_H99 zenon_H9b zenon_H9f zenon_H4d zenon_H185 zenon_H182 zenon_H3 zenon_H190 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_Hff zenon_H101 zenon_H16a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.58 apply (zenon_L969_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.58 apply (zenon_L45_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L67_); trivial. % 1.40/1.58 apply (zenon_L1137_); trivial. % 1.40/1.58 apply (zenon_L488_); trivial. % 1.40/1.58 apply (zenon_L77_); trivial. % 1.40/1.58 (* end of lemma zenon_L1138_ *) % 1.40/1.58 assert (zenon_L1139_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.40/1.58 do 0 intro. intros zenon_Hed zenon_H4d zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H60 zenon_H1a3 zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L309_); trivial. % 1.40/1.58 apply (zenon_L500_); trivial. % 1.40/1.58 (* end of lemma zenon_L1139_ *) % 1.40/1.58 assert (zenon_L1140_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_Heb zenon_H1ad zenon_H285 zenon_H9b zenon_H27e zenon_H27d zenon_H27c zenon_H60 zenon_H1a3 zenon_H190 zenon_H3 zenon_H4d zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H28b zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H55 zenon_H56 zenon_H57 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H26 zenon_H1e zenon_H1c zenon_H2ac zenon_H299 zenon_Hc7 zenon_H7d zenon_H103 zenon_H29e. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L1062_); trivial. % 1.40/1.58 apply (zenon_L632_); trivial. % 1.40/1.58 apply (zenon_L872_); trivial. % 1.40/1.58 apply (zenon_L1139_); trivial. % 1.40/1.58 (* end of lemma zenon_L1140_ *) % 1.40/1.58 assert (zenon_L1141_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H168 zenon_H98 zenon_H88 zenon_H93 zenon_Hba zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H189 zenon_H50 zenon_Hf1 zenon_H4d zenon_H227 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H182 zenon_H185 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H9b zenon_H9f zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H1c8 zenon_H16b. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L622_); trivial. % 1.40/1.58 apply (zenon_L234_); trivial. % 1.40/1.58 (* end of lemma zenon_L1141_ *) % 1.40/1.58 assert (zenon_L1142_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H4d zenon_H1a3 zenon_H60 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_H51 zenon_H2a4 zenon_H2a5 zenon_H3 zenon_H265 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.40/1.58 apply (zenon_L229_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.40/1.58 apply (zenon_L675_); trivial. % 1.40/1.58 exact (zenon_H1 zenon_H2). % 1.40/1.58 apply (zenon_L514_); trivial. % 1.40/1.58 (* end of lemma zenon_L1142_ *) % 1.40/1.58 assert (zenon_L1143_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H67 zenon_H66 zenon_H65 zenon_H265 zenon_H1f5 zenon_H1f4 zenon_H10 zenon_H31 zenon_H3. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.40/1.58 apply (zenon_L568_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.40/1.58 apply (zenon_L30_); trivial. % 1.40/1.58 apply (zenon_L1120_); trivial. % 1.40/1.58 (* end of lemma zenon_L1143_ *) % 1.40/1.58 assert (zenon_L1144_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(c0_1 (a444))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H84 zenon_H4d zenon_H1a3 zenon_H60 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1f3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H3 zenon_H1f5 zenon_H1f4 zenon_H130. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L1143_); trivial. % 1.40/1.58 apply (zenon_L514_); trivial. % 1.40/1.58 (* end of lemma zenon_L1144_ *) % 1.40/1.58 assert (zenon_L1145_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H2ac zenon_H62 zenon_H85 zenon_H189 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H4d zenon_H1a3 zenon_H27c zenon_H27d zenon_H27e zenon_H9b zenon_H285 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H1ca zenon_H130 zenon_H2a3 zenon_H88 zenon_H24c zenon_H2ae zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H231 zenon_H93 zenon_H9 zenon_Heb zenon_H98. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.58 apply (zenon_L1142_); trivial. % 1.40/1.58 apply (zenon_L1144_); trivial. % 1.40/1.58 apply (zenon_L515_); trivial. % 1.40/1.58 apply (zenon_L997_); trivial. % 1.40/1.58 apply (zenon_L1033_); trivial. % 1.40/1.58 (* end of lemma zenon_L1145_ *) % 1.40/1.58 assert (zenon_L1146_ : ((~(hskp3))\/((ndr1_0)/\((c1_1 (a435))/\((~(c0_1 (a435)))/\(~(c3_1 (a435))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a442))/\((c2_1 (a442))/\(~(c3_1 (a442))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a444))/\((~(c0_1 (a444)))/\(~(c3_1 (a444))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp11)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp29)\/(hskp0))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp28)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((hskp24)\/((hskp12)\/(hskp3))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a443))/\((~(c1_1 (a443)))/\(~(c2_1 (a443))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp10))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a441))/\((~(c2_1 (a441)))/\(~(c3_1 (a441))))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H2c9 zenon_H248 zenon_H29f zenon_H265 zenon_H2ae zenon_H25b zenon_H267 zenon_H210 zenon_H24d zenon_H163 zenon_H1b4 zenon_H1f2 zenon_H1d0 zenon_H1a7 zenon_H1a3 zenon_H16c zenon_H29e zenon_H297 zenon_H299 zenon_H28b zenon_H275 zenon_H1ad zenon_H1a5 zenon_H2ac zenon_H152 zenon_H19b zenon_H13e zenon_H168 zenon_H202 zenon_H7 zenon_Hd zenon_H33 zenon_H2f zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H16b zenon_H1c8 zenon_H85 zenon_H124 zenon_H128 zenon_H130 zenon_H62 zenon_H169 zenon_Hc0 zenon_H101 zenon_Hff zenon_H103 zenon_H190 zenon_H185 zenon_H16a zenon_H9f zenon_Heb zenon_H80 zenon_Hba zenon_Hdc zenon_Hc7 zenon_H271 zenon_He7 zenon_H26f zenon_H88 zenon_Hf1 zenon_H93 zenon_H24c zenon_H231 zenon_H98 zenon_H1b6 zenon_H53 zenon_H1ce zenon_H1ca zenon_H1dd zenon_H1ed zenon_H215 zenon_H227 zenon_H22b zenon_H161 zenon_H277 zenon_H285 zenon_H2b7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2d | zenon_intro zenon_H2ca ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2b8 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L725_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L732_); trivial. % 1.40/1.58 apply (zenon_L735_); trivial. % 1.40/1.58 apply (zenon_L744_); trivial. % 1.40/1.58 apply (zenon_L750_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L768_); trivial. % 1.40/1.58 apply (zenon_L776_); trivial. % 1.40/1.58 apply (zenon_L785_); trivial. % 1.40/1.58 apply (zenon_L793_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L799_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L800_); trivial. % 1.40/1.58 apply (zenon_L744_); trivial. % 1.40/1.58 apply (zenon_L750_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L801_); trivial. % 1.40/1.58 apply (zenon_L776_); trivial. % 1.40/1.58 apply (zenon_L785_); trivial. % 1.40/1.58 apply (zenon_L793_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L725_); trivial. % 1.40/1.58 apply (zenon_L805_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L238_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L4_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L751_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.58 apply (zenon_L742_); trivial. % 1.40/1.58 apply (zenon_L806_); trivial. % 1.40/1.58 apply (zenon_L812_); trivial. % 1.40/1.58 apply (zenon_L814_); trivial. % 1.40/1.58 apply (zenon_L234_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L238_); trivial. % 1.40/1.58 apply (zenon_L804_); trivial. % 1.40/1.58 apply (zenon_L818_); trivial. % 1.40/1.58 apply (zenon_L168_); trivial. % 1.40/1.58 apply (zenon_L826_); trivial. % 1.40/1.58 apply (zenon_L827_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L828_); trivial. % 1.40/1.58 apply (zenon_L805_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L828_); trivial. % 1.40/1.58 apply (zenon_L832_); trivial. % 1.40/1.58 apply (zenon_L826_); trivial. % 1.40/1.58 apply (zenon_L833_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L855_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L858_); trivial. % 1.40/1.58 apply (zenon_L862_); trivial. % 1.40/1.58 apply (zenon_L867_); trivial. % 1.40/1.58 apply (zenon_L880_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_L885_); trivial. % 1.40/1.58 apply (zenon_L887_); trivial. % 1.40/1.58 apply (zenon_L888_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L889_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L894_); trivial. % 1.40/1.58 apply (zenon_L905_); trivial. % 1.40/1.58 apply (zenon_L907_); trivial. % 1.40/1.58 apply (zenon_L909_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L910_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L799_); trivial. % 1.40/1.58 apply (zenon_L905_); trivial. % 1.40/1.58 apply (zenon_L907_); trivial. % 1.40/1.58 apply (zenon_L909_); trivial. % 1.40/1.58 apply (zenon_L931_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_L933_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L889_); trivial. % 1.40/1.58 apply (zenon_L937_); trivial. % 1.40/1.58 apply (zenon_L946_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L889_); trivial. % 1.40/1.58 apply (zenon_L947_); trivial. % 1.40/1.58 apply (zenon_L948_); trivial. % 1.40/1.58 apply (zenon_L953_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H10. zenon_intro zenon_H2b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H27e. zenon_intro zenon_H2ba. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H27c. zenon_intro zenon_H27d. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L725_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L732_); trivial. % 1.40/1.58 apply (zenon_L954_); trivial. % 1.40/1.58 apply (zenon_L956_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L768_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L957_); trivial. % 1.40/1.58 apply (zenon_L775_); trivial. % 1.40/1.58 apply (zenon_L750_); trivial. % 1.40/1.58 apply (zenon_L785_); trivial. % 1.40/1.58 apply (zenon_L793_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L799_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L800_); trivial. % 1.40/1.58 apply (zenon_L956_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L801_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L770_); trivial. % 1.40/1.58 apply (zenon_L958_); trivial. % 1.40/1.58 apply (zenon_L795_); trivial. % 1.40/1.58 apply (zenon_L775_); trivial. % 1.40/1.58 apply (zenon_L750_); trivial. % 1.40/1.58 apply (zenon_L785_); trivial. % 1.40/1.58 apply (zenon_L793_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L960_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L963_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.58 apply (zenon_L518_); trivial. % 1.40/1.58 apply (zenon_L964_); trivial. % 1.40/1.58 apply (zenon_L818_); trivial. % 1.40/1.58 apply (zenon_L724_); trivial. % 1.40/1.58 apply (zenon_L826_); trivial. % 1.40/1.58 apply (zenon_L827_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L960_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L963_); trivial. % 1.40/1.58 apply (zenon_L832_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L819_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L824_); trivial. % 1.40/1.58 apply (zenon_L832_); trivial. % 1.40/1.58 apply (zenon_L833_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L838_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L849_); trivial. % 1.40/1.58 apply (zenon_L966_); trivial. % 1.40/1.58 apply (zenon_L750_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L838_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L860_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.58 apply (zenon_L483_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.58 apply (zenon_L874_); trivial. % 1.40/1.58 apply (zenon_L845_); trivial. % 1.40/1.58 apply (zenon_L77_); trivial. % 1.40/1.58 apply (zenon_L965_); trivial. % 1.40/1.58 apply (zenon_L750_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L838_); trivial. % 1.40/1.58 apply (zenon_L968_); trivial. % 1.40/1.58 apply (zenon_L880_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L838_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_L519_); trivial. % 1.40/1.58 apply (zenon_L883_); trivial. % 1.40/1.58 apply (zenon_L888_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L889_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L894_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L972_); trivial. % 1.40/1.58 apply (zenon_L724_); trivial. % 1.40/1.58 apply (zenon_L907_); trivial. % 1.40/1.58 apply (zenon_L909_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L910_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L796_); trivial. % 1.40/1.58 apply (zenon_L758_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L796_); trivial. % 1.40/1.58 apply (zenon_L974_); trivial. % 1.40/1.58 apply (zenon_L724_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L972_); trivial. % 1.40/1.58 apply (zenon_L226_); trivial. % 1.40/1.58 apply (zenon_L907_); trivial. % 1.40/1.58 apply (zenon_L909_); trivial. % 1.40/1.58 apply (zenon_L931_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L977_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L980_); trivial. % 1.40/1.58 apply (zenon_L724_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L977_); trivial. % 1.40/1.58 apply (zenon_L945_); trivial. % 1.40/1.58 apply (zenon_L946_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L981_); trivial. % 1.40/1.58 apply (zenon_L952_); trivial. % 1.40/1.58 apply (zenon_L953_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H10. zenon_intro zenon_H2cb. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H2a5. zenon_intro zenon_H2cc. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H2a3. zenon_intro zenon_H2a4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2b8 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L984_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_L732_); trivial. % 1.40/1.58 apply (zenon_L985_); trivial. % 1.40/1.58 apply (zenon_L995_); trivial. % 1.40/1.58 apply (zenon_L997_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L1002_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L1003_); trivial. % 1.40/1.58 apply (zenon_L1007_); trivial. % 1.40/1.58 apply (zenon_L1011_); trivial. % 1.40/1.58 apply (zenon_L1012_); trivial. % 1.40/1.58 apply (zenon_L997_); trivial. % 1.40/1.58 apply (zenon_L1017_); trivial. % 1.40/1.58 apply (zenon_L1024_); trivial. % 1.40/1.58 apply (zenon_L1046_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L984_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L849_); trivial. % 1.40/1.58 apply (zenon_L1048_); trivial. % 1.40/1.58 apply (zenon_L997_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L984_); trivial. % 1.40/1.58 apply (zenon_L1053_); trivial. % 1.40/1.58 apply (zenon_L1061_); trivial. % 1.40/1.58 apply (zenon_L1065_); trivial. % 1.40/1.58 apply (zenon_L1077_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.40/1.58 apply (zenon_L1112_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_L1117_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_L694_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L936_); trivial. % 1.40/1.58 apply (zenon_L1118_); trivial. % 1.40/1.58 apply (zenon_L1119_); trivial. % 1.40/1.58 apply (zenon_L1135_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H10. zenon_intro zenon_H2b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H27e. zenon_intro zenon_H2ba. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H27c. zenon_intro zenon_H27d. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L984_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L955_); trivial. % 1.40/1.58 apply (zenon_L1138_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L955_); trivial. % 1.40/1.58 apply (zenon_L983_); trivial. % 1.40/1.58 apply (zenon_L995_); trivial. % 1.40/1.58 apply (zenon_L997_); trivial. % 1.40/1.58 apply (zenon_L1017_); trivial. % 1.40/1.58 apply (zenon_L1024_); trivial. % 1.40/1.58 apply (zenon_L1046_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L622_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L1000_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.58 apply (zenon_L45_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.58 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.58 apply (zenon_L1140_); trivial. % 1.40/1.58 apply (zenon_L999_); trivial. % 1.40/1.58 apply (zenon_L621_); trivial. % 1.40/1.58 apply (zenon_L1001_); trivial. % 1.40/1.58 apply (zenon_L587_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.58 apply (zenon_L979_); trivial. % 1.40/1.58 apply (zenon_L1048_); trivial. % 1.40/1.58 apply (zenon_L997_); trivial. % 1.40/1.58 apply (zenon_L1061_); trivial. % 1.40/1.58 apply (zenon_L1065_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L1141_); trivial. % 1.40/1.58 apply (zenon_L1145_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_L1054_); trivial. % 1.40/1.58 apply (zenon_L1145_); trivial. % 1.40/1.58 apply (zenon_L1076_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.40/1.58 apply (zenon_L1112_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.40/1.58 apply (zenon_L1117_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_L348_); trivial. % 1.40/1.58 apply (zenon_L1016_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.58 apply (zenon_L712_); trivial. % 1.40/1.58 apply (zenon_L976_); trivial. % 1.40/1.58 apply (zenon_L1016_); trivial. % 1.40/1.58 apply (zenon_L1118_); trivial. % 1.40/1.58 apply (zenon_L1119_); trivial. % 1.40/1.58 apply (zenon_L1135_); trivial. % 1.40/1.58 (* end of lemma zenon_L1146_ *) % 1.40/1.58 assert (zenon_L1147_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H25 zenon_H10 zenon_H89 zenon_H2cd zenon_H2ce. % 1.40/1.58 generalize (zenon_H25 (a432)). zenon_intro zenon_H2cf. % 1.40/1.58 apply (zenon_imply_s _ _ zenon_H2cf); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d0 ]. % 1.40/1.58 exact (zenon_Hf zenon_H10). % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H2d1 ]. % 1.40/1.58 generalize (zenon_H89 (a432)). zenon_intro zenon_H2d3. % 1.40/1.58 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d4 ]. % 1.40/1.58 exact (zenon_Hf zenon_H10). % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2d5 ]. % 1.40/1.58 exact (zenon_H2cd zenon_H2d6). % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2d7 ]. % 1.40/1.58 exact (zenon_H2d8 zenon_H2d2). % 1.40/1.58 exact (zenon_H2d7 zenon_H2ce). % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2d7 ]. % 1.40/1.58 exact (zenon_H2cd zenon_H2d6). % 1.40/1.58 exact (zenon_H2d7 zenon_H2ce). % 1.40/1.58 (* end of lemma zenon_L1147_ *) % 1.40/1.58 assert (zenon_L1148_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (ndr1_0) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (~(hskp25)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H13e zenon_H2ce zenon_H2cd zenon_H26 zenon_H1e zenon_H1c zenon_H10 zenon_H25 zenon_H13c. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H89 | zenon_intro zenon_H13f ]. % 1.40/1.58 apply (zenon_L1147_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H1b | zenon_intro zenon_H13d ]. % 1.40/1.58 apply (zenon_L11_); trivial. % 1.40/1.58 exact (zenon_H13c zenon_H13d). % 1.40/1.58 (* end of lemma zenon_L1148_ *) % 1.40/1.58 assert (zenon_L1149_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp25)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp28)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H13c zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H2cd zenon_H2ce zenon_H13e zenon_H31. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.40/1.58 apply (zenon_L9_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.40/1.58 apply (zenon_L1148_); trivial. % 1.40/1.58 exact (zenon_H31 zenon_H32). % 1.40/1.58 (* end of lemma zenon_L1149_ *) % 1.40/1.58 assert (zenon_L1150_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H2d9 zenon_H10 zenon_H2da zenon_H2cd zenon_H2ce. % 1.40/1.58 generalize (zenon_H2d9 (a432)). zenon_intro zenon_H2db. % 1.40/1.58 apply (zenon_imply_s _ _ zenon_H2db); [ zenon_intro zenon_Hf | zenon_intro zenon_H2dc ]. % 1.40/1.58 exact (zenon_Hf zenon_H10). % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2d1 ]. % 1.40/1.58 exact (zenon_H2da zenon_H2dd). % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2d7 ]. % 1.40/1.58 exact (zenon_H2cd zenon_H2d6). % 1.40/1.58 exact (zenon_H2d7 zenon_H2ce). % 1.40/1.58 (* end of lemma zenon_L1150_ *) % 1.40/1.58 assert (zenon_L1151_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H67 zenon_H66 zenon_H65 zenon_H2f zenon_H2b zenon_H2d. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.58 apply (zenon_L1150_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.58 apply (zenon_L30_); trivial. % 1.40/1.58 apply (zenon_L19_); trivial. % 1.40/1.58 (* end of lemma zenon_L1151_ *) % 1.40/1.58 assert (zenon_L1152_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(c0_1 (a432))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H67 zenon_H66 zenon_H65 zenon_H2da zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H13c zenon_H26 zenon_H1e zenon_H1c zenon_H2ce zenon_H2cd zenon_H33. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L1149_); trivial. % 1.40/1.58 apply (zenon_L1151_); trivial. % 1.40/1.58 (* end of lemma zenon_L1152_ *) % 1.40/1.58 assert (zenon_L1153_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_H7d zenon_H33 zenon_H2cd zenon_H2ce zenon_H1c zenon_H1e zenon_H26 zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H4d. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.58 apply (zenon_L1152_); trivial. % 1.40/1.58 apply (zenon_L129_); trivial. % 1.40/1.58 (* end of lemma zenon_L1153_ *) % 1.40/1.58 assert (zenon_L1154_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> False). % 1.40/1.58 do 0 intro. intros zenon_H93 zenon_H67 zenon_H66 zenon_H65 zenon_H31 zenon_H10 zenon_H2cd zenon_H2ce zenon_H190 zenon_H26 zenon_H1e zenon_H1c zenon_H3 zenon_H33 zenon_H9. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H64 | zenon_intro zenon_H94 ]. % 1.40/1.58 apply (zenon_L30_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.40/1.58 apply (zenon_L116_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.40/1.58 apply (zenon_L1147_); trivial. % 1.40/1.58 exact (zenon_H31 zenon_H32). % 1.40/1.58 exact (zenon_H9 zenon_Ha). % 1.40/1.58 (* end of lemma zenon_L1154_ *) % 1.40/1.58 assert (zenon_L1155_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H2da zenon_H33 zenon_H2ce zenon_H2cd zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H9 zenon_H93. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L1154_); trivial. % 1.40/1.58 apply (zenon_L1151_); trivial. % 1.40/1.58 (* end of lemma zenon_L1155_ *) % 1.40/1.58 assert (zenon_L1156_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp12)) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H50 zenon_H88 zenon_H4d zenon_H2de zenon_H2f zenon_H2da zenon_H33 zenon_H2ce zenon_H2cd zenon_H3 zenon_H190 zenon_H93 zenon_H2b zenon_H2d zenon_H53 zenon_H9 zenon_H5 zenon_Hd. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.58 apply (zenon_L7_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.58 apply (zenon_L25_); trivial. % 1.40/1.58 apply (zenon_L1155_); trivial. % 1.40/1.58 (* end of lemma zenon_L1156_ *) % 1.40/1.58 assert (zenon_L1157_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H85 zenon_H33 zenon_H31 zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_H67 zenon_H66 zenon_H65 zenon_H13c zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.58 apply (zenon_L29_); trivial. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.40/1.58 apply (zenon_L9_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H89 | zenon_intro zenon_H13f ]. % 1.40/1.58 apply (zenon_L1147_); trivial. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H1b | zenon_intro zenon_H13d ]. % 1.40/1.58 apply (zenon_L190_); trivial. % 1.40/1.58 exact (zenon_H13c zenon_H13d). % 1.40/1.58 exact (zenon_H31 zenon_H32). % 1.40/1.58 (* end of lemma zenon_L1157_ *) % 1.40/1.58 assert (zenon_L1158_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.58 do 0 intro. intros zenon_H84 zenon_H152 zenon_H85 zenon_H33 zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H4d. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.58 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.58 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.58 apply (zenon_L1157_); trivial. % 1.40/1.58 apply (zenon_L1151_); trivial. % 1.40/1.58 apply (zenon_L129_); trivial. % 1.40/1.58 (* end of lemma zenon_L1158_ *) % 1.40/1.58 assert (zenon_L1159_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp12)) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H165 zenon_H98 zenon_H50 zenon_H88 zenon_H4d zenon_H2de zenon_H2f zenon_H2da zenon_H33 zenon_H2ce zenon_H2cd zenon_H190 zenon_H93 zenon_H2b zenon_H2d zenon_H53 zenon_H9 zenon_H5 zenon_Hd zenon_H62 zenon_H13e zenon_H7d zenon_H80 zenon_H85 zenon_H152 zenon_H189. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.59 apply (zenon_L1156_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L25_); trivial. % 1.40/1.59 apply (zenon_L1158_); trivial. % 1.40/1.59 apply (zenon_L40_); trivial. % 1.40/1.59 (* end of lemma zenon_L1159_ *) % 1.40/1.59 assert (zenon_L1160_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp8)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H80 zenon_H67 zenon_H66 zenon_H65 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H35 zenon_H7d. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.40/1.59 apply (zenon_L30_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.40/1.59 apply (zenon_L53_); trivial. % 1.40/1.59 exact (zenon_H7d zenon_H7e). % 1.40/1.59 (* end of lemma zenon_L1160_ *) % 1.40/1.59 assert (zenon_L1161_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp8)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H80 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H7d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.59 apply (zenon_L30_); trivial. % 1.40/1.59 apply (zenon_L1160_); trivial. % 1.40/1.59 (* end of lemma zenon_L1161_ *) % 1.40/1.59 assert (zenon_L1162_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp12)) -> (~(hskp3)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1b7 zenon_H88 zenon_H2de zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2b zenon_H2d zenon_H53. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L25_); trivial. % 1.40/1.59 apply (zenon_L1161_); trivial. % 1.40/1.59 (* end of lemma zenon_L1162_ *) % 1.40/1.59 assert (zenon_L1163_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1b4 zenon_H175 zenon_H176 zenon_H174 zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H1b2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b5 ]. % 1.40/1.59 apply (zenon_L166_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b3 ]. % 1.40/1.59 apply (zenon_L85_); trivial. % 1.40/1.59 exact (zenon_H1b2 zenon_H1b3). % 1.40/1.59 (* end of lemma zenon_L1163_ *) % 1.40/1.59 assert (zenon_L1164_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp5)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H1b2 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1b4 zenon_Hde zenon_H10 zenon_H174 zenon_H175 zenon_H176. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.40/1.59 apply (zenon_L1163_); trivial. % 1.40/1.59 apply (zenon_L107_); trivial. % 1.40/1.59 (* end of lemma zenon_L1164_ *) % 1.40/1.59 assert (zenon_L1165_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp14)) -> (~(hskp2)) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_Hec zenon_H176 zenon_H175 zenon_H174 zenon_H1b4 zenon_H1b2 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e0 zenon_H1 zenon_He9. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.40/1.59 apply (zenon_L1164_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.40/1.59 exact (zenon_H1 zenon_H2). % 1.40/1.59 exact (zenon_He9 zenon_Hea). % 1.40/1.59 (* end of lemma zenon_L1165_ *) % 1.40/1.59 assert (zenon_L1166_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf1 zenon_Hec zenon_He9 zenon_H1 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b4 zenon_H1b2 zenon_H175 zenon_H176 zenon_H174 zenon_H2e0 zenon_H99 zenon_H9b zenon_H9f. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L45_); trivial. % 1.40/1.59 apply (zenon_L1165_); trivial. % 1.40/1.59 (* end of lemma zenon_L1166_ *) % 1.40/1.59 assert (zenon_L1167_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H168 zenon_Hf1 zenon_Hec zenon_He9 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b4 zenon_H1b2 zenon_H175 zenon_H176 zenon_H174 zenon_H2e0 zenon_H9b zenon_H9f zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H1c8 zenon_Hba zenon_H80 zenon_H7d zenon_H182 zenon_H185 zenon_H88 zenon_H50 zenon_H189 zenon_H16b. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.59 apply (zenon_L1166_); trivial. % 1.40/1.59 apply (zenon_L767_); trivial. % 1.40/1.59 apply (zenon_L168_); trivial. % 1.40/1.59 (* end of lemma zenon_L1167_ *) % 1.40/1.59 assert (zenon_L1168_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp16)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H10 zenon_H22f zenon_H60. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e3 ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H230 | zenon_intro zenon_H61 ]. % 1.40/1.59 exact (zenon_H22f zenon_H230). % 1.40/1.59 exact (zenon_H60 zenon_H61). % 1.40/1.59 (* end of lemma zenon_L1168_ *) % 1.40/1.59 assert (zenon_L1169_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp25)) -> (ndr1_0) -> (c0_1 (a456)) -> (c1_1 (a456)) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp8)) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H13c zenon_H10 zenon_H234 zenon_H235 zenon_H25 zenon_H2cd zenon_H2ce zenon_H13e zenon_H7d. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.40/1.59 apply (zenon_L57_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H89 | zenon_intro zenon_H13f ]. % 1.40/1.59 apply (zenon_L1147_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H1b | zenon_intro zenon_H13d ]. % 1.40/1.59 apply (zenon_L337_); trivial. % 1.40/1.59 exact (zenon_H13c zenon_H13d). % 1.40/1.59 exact (zenon_H7d zenon_H7e). % 1.40/1.59 (* end of lemma zenon_L1169_ *) % 1.40/1.59 assert (zenon_L1170_ : ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (c1_1 (a456)) -> (c0_1 (a456)) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (~(hskp24)) -> (~(hskp8)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H103 zenon_H235 zenon_H234 zenon_H10 zenon_Hcc zenon_H51 zenon_H7d. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H1b | zenon_intro zenon_H104 ]. % 1.40/1.59 apply (zenon_L337_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H52 | zenon_intro zenon_H7e ]. % 1.40/1.59 exact (zenon_H51 zenon_H52). % 1.40/1.59 exact (zenon_H7d zenon_H7e). % 1.40/1.59 (* end of lemma zenon_L1170_ *) % 1.40/1.59 assert (zenon_L1171_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (c1_1 (a456)) -> (c0_1 (a456)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H235 zenon_H234 zenon_H1b zenon_H10 zenon_H7d. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdd ]. % 1.40/1.59 apply (zenon_L57_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hcc | zenon_intro zenon_H7e ]. % 1.40/1.59 apply (zenon_L337_); trivial. % 1.40/1.59 exact (zenon_H7d zenon_H7e). % 1.40/1.59 (* end of lemma zenon_L1171_ *) % 1.40/1.59 assert (zenon_L1172_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H95 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_H103 zenon_H7d zenon_H1 zenon_He9 zenon_Hec. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.40/1.59 apply (zenon_L127_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.40/1.59 exact (zenon_H1 zenon_H2). % 1.40/1.59 exact (zenon_He9 zenon_Hea). % 1.40/1.59 apply (zenon_L1161_); trivial. % 1.40/1.59 (* end of lemma zenon_L1172_ *) % 1.40/1.59 assert (zenon_L1173_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a489))) -> (c3_1 (a489)) -> (c2_1 (a489)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(hskp5)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H46 zenon_H22b zenon_H2d zenon_H2b zenon_H2f zenon_H144 zenon_H146 zenon_H145 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2de zenon_H1bb zenon_H1bc zenon_H1ba zenon_H1b2. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.59 apply (zenon_L123_); trivial. % 1.40/1.59 apply (zenon_L19_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.40/1.59 apply (zenon_L184_); trivial. % 1.40/1.59 exact (zenon_H1b2 zenon_H1b3). % 1.40/1.59 (* end of lemma zenon_L1173_ *) % 1.40/1.59 assert (zenon_L1174_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H152 zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H33 zenon_H2cd zenon_H2ce zenon_H1c zenon_H1e zenon_H26 zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H4d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.59 apply (zenon_L1152_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_L16_); trivial. % 1.40/1.59 apply (zenon_L1173_); trivial. % 1.40/1.59 (* end of lemma zenon_L1174_ *) % 1.40/1.59 assert (zenon_L1175_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2de zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L182_); trivial. % 1.40/1.59 apply (zenon_L1161_); trivial. % 1.40/1.59 (* end of lemma zenon_L1175_ *) % 1.40/1.59 assert (zenon_L1176_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2de zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H99 zenon_H9b zenon_H9f. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L45_); trivial. % 1.40/1.59 apply (zenon_L1175_); trivial. % 1.40/1.59 (* end of lemma zenon_L1176_ *) % 1.40/1.59 assert (zenon_L1177_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L84_); trivial. % 1.40/1.59 apply (zenon_L1161_); trivial. % 1.40/1.59 (* end of lemma zenon_L1177_ *) % 1.40/1.59 assert (zenon_L1178_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H132 zenon_Hf1 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L185_); trivial. % 1.40/1.59 apply (zenon_L1177_); trivial. % 1.40/1.59 (* end of lemma zenon_L1178_ *) % 1.40/1.59 assert (zenon_L1179_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L173_); trivial. % 1.40/1.59 apply (zenon_L1161_); trivial. % 1.40/1.59 (* end of lemma zenon_L1179_ *) % 1.40/1.59 assert (zenon_L1180_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7 zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L185_); trivial. % 1.40/1.59 apply (zenon_L1179_); trivial. % 1.40/1.59 (* end of lemma zenon_L1180_ *) % 1.40/1.59 assert (zenon_L1181_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H165 zenon_H16b zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_He7 zenon_Hba zenon_H2da zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2de zenon_H88 zenon_Hf1. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.59 apply (zenon_L1180_); trivial. % 1.40/1.59 apply (zenon_L1178_); trivial. % 1.40/1.59 (* end of lemma zenon_L1181_ *) % 1.40/1.59 assert (zenon_L1182_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1d1 zenon_H168 zenon_H1b4 zenon_H1b2 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.59 apply (zenon_L209_); trivial. % 1.40/1.59 apply (zenon_L168_); trivial. % 1.40/1.59 (* end of lemma zenon_L1182_ *) % 1.40/1.59 assert (zenon_L1183_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a432))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1af zenon_H10 zenon_H2da zenon_H25 zenon_H2cd zenon_H2ce. % 1.40/1.59 generalize (zenon_H1af (a432)). zenon_intro zenon_H2e4. % 1.40/1.59 apply (zenon_imply_s _ _ zenon_H2e4); [ zenon_intro zenon_Hf | zenon_intro zenon_H2e5 ]. % 1.40/1.59 exact (zenon_Hf zenon_H10). % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2d5 ]. % 1.40/1.59 exact (zenon_H2da zenon_H2dd). % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2d7 ]. % 1.40/1.59 generalize (zenon_H25 (a432)). zenon_intro zenon_H2cf. % 1.40/1.59 apply (zenon_imply_s _ _ zenon_H2cf); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d0 ]. % 1.40/1.59 exact (zenon_Hf zenon_H10). % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H2d1 ]. % 1.40/1.59 exact (zenon_H2d8 zenon_H2d2). % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2d7 ]. % 1.40/1.59 exact (zenon_H2cd zenon_H2d6). % 1.40/1.59 exact (zenon_H2d7 zenon_H2ce). % 1.40/1.59 exact (zenon_H2d7 zenon_H2ce). % 1.40/1.59 (* end of lemma zenon_L1183_ *) % 1.40/1.59 assert (zenon_L1184_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (~(c0_1 (a432))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1b4 zenon_H2ce zenon_H2cd zenon_H25 zenon_H2da zenon_Hb3 zenon_Hb2 zenon_H12d zenon_Hb1 zenon_H10 zenon_H1b2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b5 ]. % 1.40/1.59 apply (zenon_L1183_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b3 ]. % 1.40/1.59 apply (zenon_L85_); trivial. % 1.40/1.59 exact (zenon_H1b2 zenon_H1b3). % 1.40/1.59 (* end of lemma zenon_L1184_ *) % 1.40/1.59 assert (zenon_L1185_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp5)) -> (ndr1_0) -> (~(c2_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp28)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H1b2 zenon_H10 zenon_Hb1 zenon_H12d zenon_Hb2 zenon_Hb3 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b4 zenon_H31. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.40/1.59 apply (zenon_L9_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.40/1.59 apply (zenon_L1184_); trivial. % 1.40/1.59 exact (zenon_H31 zenon_H32). % 1.40/1.59 (* end of lemma zenon_L1185_ *) % 1.40/1.59 assert (zenon_L1186_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H33 zenon_H2da zenon_H2cd zenon_H2ce zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H1b2 zenon_H1b4 zenon_H14 zenon_H13 zenon_H12 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H12d | zenon_intro zenon_H164 ]. % 1.40/1.59 apply (zenon_L1185_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hce | zenon_intro zenon_H143 ]. % 1.40/1.59 apply (zenon_L229_); trivial. % 1.40/1.59 exact (zenon_H142 zenon_H143). % 1.40/1.59 apply (zenon_L1151_); trivial. % 1.40/1.59 (* end of lemma zenon_L1186_ *) % 1.40/1.59 assert (zenon_L1187_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((hskp24)\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_H1b2 zenon_H1b4 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163 zenon_H99 zenon_H9b zenon_H9f zenon_Hd zenon_H5 zenon_H9 zenon_H53 zenon_H2d zenon_H2b zenon_H93 zenon_H190 zenon_H2cd zenon_H2ce zenon_H33 zenon_H2da zenon_H2f zenon_H2de zenon_H4d zenon_H88 zenon_H50. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.59 apply (zenon_L1156_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L45_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L25_); trivial. % 1.40/1.59 apply (zenon_L1186_); trivial. % 1.40/1.59 (* end of lemma zenon_L1187_ *) % 1.40/1.59 assert (zenon_L1188_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H50 zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H2da zenon_H33 zenon_H2ce zenon_H2cd zenon_H3 zenon_H190 zenon_H93 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.40/1.59 apply (zenon_L7_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L175_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L84_); trivial. % 1.40/1.59 apply (zenon_L1155_); trivial. % 1.40/1.59 (* end of lemma zenon_L1188_ *) % 1.40/1.59 assert (zenon_L1189_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H33 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b2 zenon_H1b4 zenon_H14 zenon_H13 zenon_H12 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L84_); trivial. % 1.40/1.59 apply (zenon_L1186_); trivial. % 1.40/1.59 (* end of lemma zenon_L1189_ *) % 1.40/1.59 assert (zenon_L1190_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H33 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b2 zenon_H1b4 zenon_H14 zenon_H13 zenon_H12 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H142 zenon_H163 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L175_); trivial. % 1.40/1.59 apply (zenon_L1189_); trivial. % 1.40/1.59 (* end of lemma zenon_L1190_ *) % 1.40/1.59 assert (zenon_L1191_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp14)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H35 zenon_H1. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.40/1.59 apply (zenon_L229_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.40/1.59 apply (zenon_L53_); trivial. % 1.40/1.59 exact (zenon_H1 zenon_H2). % 1.40/1.59 (* end of lemma zenon_L1191_ *) % 1.40/1.59 assert (zenon_L1192_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp7)) -> (~(hskp23)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H126 zenon_H9d zenon_H128 zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H1. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.59 apply (zenon_L807_); trivial. % 1.40/1.59 apply (zenon_L1191_); trivial. % 1.40/1.59 (* end of lemma zenon_L1192_ *) % 1.40/1.59 assert (zenon_L1193_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H67 zenon_H66 zenon_H65 zenon_H10 zenon_Hab zenon_H6e zenon_Ha2 zenon_Ha3. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.59 apply (zenon_L30_); trivial. % 1.40/1.59 apply (zenon_L53_); trivial. % 1.40/1.59 (* end of lemma zenon_L1193_ *) % 1.40/1.59 assert (zenon_L1194_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2da zenon_H2cd zenon_H2ce zenon_H62 zenon_H60 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2de zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.40/1.59 apply (zenon_L86_); trivial. % 1.40/1.59 apply (zenon_L1193_); trivial. % 1.40/1.59 apply (zenon_L231_); trivial. % 1.40/1.59 (* end of lemma zenon_L1194_ *) % 1.40/1.59 assert (zenon_L1195_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1a3 zenon_H2da zenon_H2cd zenon_H2ce zenon_H62 zenon_H60 zenon_H2de zenon_H2e0 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L239_); trivial. % 1.40/1.59 apply (zenon_L1194_); trivial. % 1.40/1.59 (* end of lemma zenon_L1195_ *) % 1.40/1.59 assert (zenon_L1196_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H85 zenon_H1a3 zenon_H62 zenon_H60 zenon_H2e0 zenon_Hba zenon_H10 zenon_H2da zenon_H2cd zenon_H2ce zenon_H128 zenon_H126 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1ca zenon_H1 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2de. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L1192_); trivial. % 1.40/1.59 apply (zenon_L1195_); trivial. % 1.40/1.59 (* end of lemma zenon_L1196_ *) % 1.40/1.59 assert (zenon_L1197_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp21)) -> (~(hskp22)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_Hc0 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hbc zenon_Hbe. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.59 apply (zenon_L30_); trivial. % 1.40/1.59 apply (zenon_L481_); trivial. % 1.40/1.59 (* end of lemma zenon_L1197_ *) % 1.40/1.59 assert (zenon_L1198_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L84_); trivial. % 1.40/1.59 apply (zenon_L1197_); trivial. % 1.40/1.59 (* end of lemma zenon_L1198_ *) % 1.40/1.59 assert (zenon_L1199_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H16a zenon_H248 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H2b zenon_H26f zenon_H1b4 zenon_H1b2 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H11f zenon_H115 zenon_H116 zenon_H8a zenon_H8b zenon_H8c zenon_H1c8 zenon_Hba zenon_H2da zenon_H2cd zenon_H2ce zenon_Hc0 zenon_Hbc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2de zenon_H88 zenon_Hf1. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L329_); trivial. % 1.40/1.59 apply (zenon_L1198_); trivial. % 1.40/1.59 apply (zenon_L426_); trivial. % 1.40/1.59 (* end of lemma zenon_L1199_ *) % 1.40/1.59 assert (zenon_L1200_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp5)) -> (~(c2_1 (a484))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (ndr1_0) -> (~(c3_1 (a474))) -> (c0_1 (a474)) -> (c1_1 (a474)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1b2 zenon_Hb1 zenon_H12d zenon_Hb2 zenon_Hb3 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b4 zenon_H10 zenon_H108 zenon_H109 zenon_H10a. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.40/1.59 apply (zenon_L229_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.40/1.59 apply (zenon_L1184_); trivial. % 1.40/1.59 apply (zenon_L76_); trivial. % 1.40/1.59 (* end of lemma zenon_L1200_ *) % 1.40/1.59 assert (zenon_L1201_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H111 zenon_Hf1 zenon_H163 zenon_H142 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H2ce zenon_H2cd zenon_H2da zenon_H161 zenon_H1c8 zenon_H8c zenon_H8b zenon_H8a zenon_H116 zenon_H115 zenon_H11f zenon_H55 zenon_H56 zenon_H57 zenon_H1b2 zenon_H1b4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L329_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H12d | zenon_intro zenon_H164 ]. % 1.40/1.59 apply (zenon_L1200_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hce | zenon_intro zenon_H143 ]. % 1.40/1.59 apply (zenon_L229_); trivial. % 1.40/1.59 exact (zenon_H142 zenon_H143). % 1.40/1.59 (* end of lemma zenon_L1201_ *) % 1.40/1.59 assert (zenon_L1202_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(hskp9))) -> (~(hskp9)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H16b zenon_H169 zenon_H163 zenon_H142 zenon_H161 zenon_Hf1 zenon_H88 zenon_H2de zenon_Hc0 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1c8 zenon_H1b2 zenon_H1b4 zenon_H26f zenon_H2b zenon_H248 zenon_H16a zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_He9 zenon_Hec. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.59 apply (zenon_L209_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.40/1.59 apply (zenon_L232_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.59 apply (zenon_L233_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.40/1.59 apply (zenon_L1199_); trivial. % 1.40/1.59 apply (zenon_L1201_); trivial. % 1.40/1.59 (* end of lemma zenon_L1202_ *) % 1.40/1.59 assert (zenon_L1203_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_L297_); trivial. % 1.40/1.59 apply (zenon_L1151_); trivial. % 1.40/1.59 (* end of lemma zenon_L1203_ *) % 1.40/1.59 assert (zenon_L1204_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H14d zenon_H4d zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2da zenon_H2cd zenon_H2ce zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_L297_); trivial. % 1.40/1.59 apply (zenon_L1173_); trivial. % 1.40/1.59 (* end of lemma zenon_L1204_ *) % 1.40/1.59 assert (zenon_L1205_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H152 zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H2cd zenon_H2ce zenon_H1c zenon_H1e zenon_H26 zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H4d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.59 apply (zenon_L1152_); trivial. % 1.40/1.59 apply (zenon_L1204_); trivial. % 1.40/1.59 (* end of lemma zenon_L1205_ *) % 1.40/1.59 assert (zenon_L1206_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp17)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp23)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H22b zenon_H99 zenon_H55 zenon_H56 zenon_H57 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H9d zenon_He7 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H10 zenon_H1b2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.40/1.59 apply (zenon_L307_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.40/1.59 apply (zenon_L184_); trivial. % 1.40/1.59 exact (zenon_H1b2 zenon_H1b3). % 1.40/1.59 (* end of lemma zenon_L1206_ *) % 1.40/1.59 assert (zenon_L1207_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H33 zenon_Hba zenon_He7 zenon_H99 zenon_H57 zenon_H56 zenon_H55 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H1b2 zenon_H22b. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L1206_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L173_); trivial. % 1.40/1.59 apply (zenon_L1203_); trivial. % 1.40/1.59 (* end of lemma zenon_L1207_ *) % 1.40/1.59 assert (zenon_L1208_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L84_); trivial. % 1.40/1.59 apply (zenon_L1203_); trivial. % 1.40/1.59 (* end of lemma zenon_L1208_ *) % 1.40/1.59 assert (zenon_L1209_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H33 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H116 zenon_H115 zenon_H11f zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L691_); trivial. % 1.40/1.59 apply (zenon_L1208_); trivial. % 1.40/1.59 (* end of lemma zenon_L1209_ *) % 1.40/1.59 assert (zenon_L1210_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp16)) -> (~(hskp29)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H60 zenon_H5e zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H62 zenon_Hde zenon_H10 zenon_H174 zenon_H175 zenon_H176. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.40/1.59 apply (zenon_L86_); trivial. % 1.40/1.59 apply (zenon_L107_); trivial. % 1.40/1.59 (* end of lemma zenon_L1210_ *) % 1.40/1.59 assert (zenon_L1211_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H85 zenon_H7d zenon_H80 zenon_H1ce zenon_H5 zenon_H47 zenon_H2da zenon_H2cd zenon_H2ce zenon_H62 zenon_H60 zenon_H2e0 zenon_H1b2 zenon_H22b zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1ca zenon_H1 zenon_H176 zenon_H175 zenon_H174 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_He9 zenon_Hec. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L188_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_L297_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.40/1.59 apply (zenon_L1210_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.40/1.59 apply (zenon_L617_); trivial. % 1.40/1.59 exact (zenon_H5 zenon_H6). % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.40/1.59 apply (zenon_L184_); trivial. % 1.40/1.59 exact (zenon_H1b2 zenon_H1b3). % 1.40/1.59 apply (zenon_L191_); trivial. % 1.40/1.59 (* end of lemma zenon_L1211_ *) % 1.40/1.59 assert (zenon_L1212_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H16b zenon_H1c8 zenon_H7 zenon_H5 zenon_H1 zenon_H9f zenon_H9b zenon_Hec zenon_He9 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H174 zenon_H175 zenon_H176 zenon_H1ca zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H22b zenon_H1b2 zenon_H2e0 zenon_H60 zenon_H62 zenon_H2ce zenon_H2cd zenon_H2da zenon_H47 zenon_H1ce zenon_H80 zenon_H7d zenon_H85 zenon_H4d zenon_H88 zenon_Hf1 zenon_H189. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.59 apply (zenon_L4_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L45_); trivial. % 1.40/1.59 apply (zenon_L1211_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.40/1.59 apply (zenon_L4_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L691_); trivial. % 1.40/1.59 apply (zenon_L1211_); trivial. % 1.40/1.59 (* end of lemma zenon_L1212_ *) % 1.40/1.59 assert (zenon_L1213_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H46 zenon_H227 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H67 zenon_H66 zenon_H65 zenon_H47 zenon_H218 zenon_H216 zenon_H217 zenon_H26 zenon_H1e zenon_H1c zenon_H5 zenon_H1ce. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.40/1.59 apply (zenon_L118_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.40/1.59 apply (zenon_L298_); trivial. % 1.40/1.59 exact (zenon_H5 zenon_H6). % 1.40/1.59 apply (zenon_L20_); trivial. % 1.40/1.59 (* end of lemma zenon_L1213_ *) % 1.40/1.59 assert (zenon_L1214_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H152 zenon_H33 zenon_H2cd zenon_H2ce zenon_H1c zenon_H1e zenon_H26 zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H1ce zenon_H5 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H227 zenon_H4d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_L1149_); trivial. % 1.40/1.59 apply (zenon_L1213_); trivial. % 1.40/1.59 apply (zenon_L129_); trivial. % 1.40/1.59 (* end of lemma zenon_L1214_ *) % 1.40/1.59 assert (zenon_L1215_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H152 zenon_H33 zenon_H2cd zenon_H2ce zenon_H1c zenon_H1e zenon_H26 zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H1ce zenon_H5 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H7d zenon_H80 zenon_H227 zenon_H4d zenon_H1ca zenon_H1 zenon_H176 zenon_H175 zenon_H174 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_He9 zenon_Hec. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L188_); trivial. % 1.40/1.59 apply (zenon_L1214_); trivial. % 1.40/1.59 (* end of lemma zenon_L1215_ *) % 1.40/1.59 assert (zenon_L1216_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H152 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H1ce zenon_H5 zenon_H217 zenon_H216 zenon_H218 zenon_H47 zenon_H7d zenon_H80 zenon_H227 zenon_H4d zenon_H1ca zenon_H1 zenon_H176 zenon_H175 zenon_H174 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_He9 zenon_Hec zenon_H99 zenon_H9b zenon_H9f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L45_); trivial. % 1.40/1.59 apply (zenon_L1215_); trivial. % 1.40/1.59 (* end of lemma zenon_L1216_ *) % 1.40/1.59 assert (zenon_L1217_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1b2 zenon_H22b zenon_H9f zenon_H9b zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H2da zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_H2de zenon_H88 zenon_Hf1. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.40/1.59 apply (zenon_L1176_); trivial. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L691_); trivial. % 1.40/1.59 apply (zenon_L1175_); trivial. % 1.40/1.59 (* end of lemma zenon_L1217_ *) % 1.40/1.59 assert (zenon_L1218_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H1b4 zenon_H175 zenon_H176 zenon_H174 zenon_Hf1 zenon_H88 zenon_H2de zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H9b zenon_H9f zenon_H22b zenon_H1b2 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H16b. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.40/1.59 apply (zenon_L1217_); trivial. % 1.40/1.59 apply (zenon_L168_); trivial. % 1.40/1.59 (* end of lemma zenon_L1218_ *) % 1.40/1.59 assert (zenon_L1219_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H7d zenon_H80 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H60 zenon_H62 zenon_Hba zenon_He7 zenon_H99 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H1b2 zenon_H22b. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L1206_); trivial. % 1.40/1.59 apply (zenon_L215_); trivial. % 1.40/1.59 (* end of lemma zenon_L1219_ *) % 1.40/1.59 assert (zenon_L1220_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_H80 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_He7 zenon_H99 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H1b2 zenon_H22b. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_L1206_); trivial. % 1.40/1.59 apply (zenon_L1179_); trivial. % 1.40/1.59 (* end of lemma zenon_L1220_ *) % 1.40/1.59 assert (zenon_L1221_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H29b zenon_H85 zenon_H1a3 zenon_H60 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H297. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.40/1.59 apply (zenon_L533_); trivial. % 1.40/1.59 apply (zenon_L231_); trivial. % 1.40/1.59 (* end of lemma zenon_L1221_ *) % 1.40/1.59 assert (zenon_L1222_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H29e zenon_H85 zenon_H1a3 zenon_H60 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H28b zenon_Hc5 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H4d. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.40/1.59 apply (zenon_L633_); trivial. % 1.40/1.59 apply (zenon_L1221_); trivial. % 1.40/1.59 (* end of lemma zenon_L1222_ *) % 1.40/1.59 assert (zenon_L1223_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H216 zenon_H217 zenon_H218 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H2f zenon_H2b zenon_H2d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.59 apply (zenon_L561_); trivial. % 1.40/1.59 apply (zenon_L19_); trivial. % 1.40/1.59 (* end of lemma zenon_L1223_ *) % 1.40/1.59 assert (zenon_L1224_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_L297_); trivial. % 1.40/1.59 apply (zenon_L1223_); trivial. % 1.40/1.59 (* end of lemma zenon_L1224_ *) % 1.40/1.59 assert (zenon_L1225_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H4a zenon_H38 zenon_H37 zenon_H35 zenon_H10 zenon_H60. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.40/1.59 apply (zenon_L229_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.40/1.59 apply (zenon_L496_); trivial. % 1.40/1.59 exact (zenon_H60 zenon_H61). % 1.40/1.59 (* end of lemma zenon_L1225_ *) % 1.40/1.59 assert (zenon_L1226_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H11e zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H4a zenon_H38 zenon_H37 zenon_H10 zenon_H60. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.59 apply (zenon_L325_); trivial. % 1.40/1.59 apply (zenon_L1225_); trivial. % 1.40/1.59 (* end of lemma zenon_L1226_ *) % 1.40/1.59 assert (zenon_L1227_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp16)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H46 zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H60 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2de zenon_H1b2. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.40/1.59 apply (zenon_L275_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.40/1.59 apply (zenon_L1226_); trivial. % 1.40/1.59 exact (zenon_H1b2 zenon_H1b3). % 1.40/1.59 (* end of lemma zenon_L1227_ *) % 1.40/1.59 assert (zenon_L1228_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp16)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H67 zenon_H66 zenon_H65 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H60. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.40/1.59 apply (zenon_L1150_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.40/1.59 apply (zenon_L30_); trivial. % 1.40/1.59 apply (zenon_L1225_); trivial. % 1.40/1.59 (* end of lemma zenon_L1228_ *) % 1.40/1.59 assert (zenon_L1229_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H60 zenon_H1a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_L297_); trivial. % 1.40/1.59 apply (zenon_L1228_); trivial. % 1.40/1.59 (* end of lemma zenon_L1229_ *) % 1.40/1.59 assert (zenon_L1230_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H2de zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H60 zenon_H1a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L84_); trivial. % 1.40/1.59 apply (zenon_L1229_); trivial. % 1.40/1.59 (* end of lemma zenon_L1230_ *) % 1.40/1.59 assert (zenon_L1231_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.40/1.59 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_Hba zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_H2de zenon_H60 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H1b2 zenon_H22b zenon_H4d. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.40/1.59 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.40/1.59 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.40/1.59 apply (zenon_L297_); trivial. % 1.40/1.59 apply (zenon_L1227_); trivial. % 1.40/1.59 apply (zenon_L1230_); trivial. % 1.40/1.59 (* end of lemma zenon_L1231_ *) % 1.40/1.59 assert (zenon_L1232_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a451))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1c8 zenon_Ha3 zenon_Ha2 zenon_H6e zenon_Hab zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.40/1.59 apply (zenon_L47_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.40/1.59 apply (zenon_L274_); trivial. % 1.40/1.59 exact (zenon_H9d zenon_H9e). % 1.40/1.59 (* end of lemma zenon_L1232_ *) % 1.40/1.59 assert (zenon_L1233_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp14)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9d zenon_H10 zenon_H217 zenon_H192 zenon_H216 zenon_H218 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1c8 zenon_H1. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hce | zenon_intro zenon_H1cb ]. % 1.40/1.59 apply (zenon_L229_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H6e | zenon_intro zenon_H2 ]. % 1.40/1.59 apply (zenon_L1232_); trivial. % 1.40/1.59 exact (zenon_H1 zenon_H2). % 1.40/1.59 (* end of lemma zenon_L1233_ *) % 1.40/1.59 assert (zenon_L1234_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp23)) -> (~(c0_1 (a444))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp19)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H22b zenon_H1 zenon_H1c8 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H218 zenon_H216 zenon_H217 zenon_H9d zenon_H1f3 zenon_H1ca zenon_H3 zenon_H31 zenon_H10 zenon_H1f4 zenon_H1f5 zenon_H265 zenon_H1b2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.40/1.59 apply (zenon_L1233_); trivial. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.40/1.59 apply (zenon_L1120_); trivial. % 1.40/1.59 exact (zenon_H1b2 zenon_H1b3). % 1.40/1.59 (* end of lemma zenon_L1234_ *) % 1.40/1.59 assert (zenon_L1235_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.40/1.59 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2da zenon_H2cd zenon_H2ce zenon_H62 zenon_H60 zenon_H2de zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.40/1.59 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.40/1.59 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.40/1.59 apply (zenon_L84_); trivial. % 1.40/1.59 apply (zenon_L1194_); trivial. % 1.40/1.59 (* end of lemma zenon_L1235_ *) % 1.40/1.59 assert (zenon_L1236_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp16)) -> False). % 1.40/1.59 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H216 zenon_H217 zenon_H218 zenon_H161 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H60. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.60 apply (zenon_L1150_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.60 apply (zenon_L561_); trivial. % 1.48/1.60 apply (zenon_L1225_); trivial. % 1.48/1.60 (* end of lemma zenon_L1236_ *) % 1.48/1.60 assert (zenon_L1237_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.60 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H60 zenon_H1a3 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L297_); trivial. % 1.48/1.60 apply (zenon_L1236_); trivial. % 1.48/1.60 (* end of lemma zenon_L1237_ *) % 1.48/1.60 assert (zenon_L1238_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H132 zenon_H189 zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H33 zenon_Hba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b zenon_H1 zenon_H5 zenon_H7. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.60 apply (zenon_L4_); trivial. % 1.48/1.60 apply (zenon_L1209_); trivial. % 1.48/1.60 (* end of lemma zenon_L1238_ *) % 1.48/1.60 assert (zenon_L1239_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H95 zenon_H16b zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b zenon_H9f zenon_H9b zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9 zenon_H93 zenon_H88 zenon_Hf1. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.60 apply (zenon_L324_); trivial. % 1.48/1.60 apply (zenon_L1073_); trivial. % 1.48/1.60 (* end of lemma zenon_L1239_ *) % 1.48/1.60 assert (zenon_L1240_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H168 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H93 zenon_Hba zenon_H1c8 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1ce zenon_H47 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H227 zenon_H4d zenon_H50 zenon_H189. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.60 apply (zenon_L305_); trivial. % 1.48/1.60 apply (zenon_L234_); trivial. % 1.48/1.60 (* end of lemma zenon_L1240_ *) % 1.48/1.60 assert (zenon_L1241_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H1af zenon_H126 zenon_H9d zenon_H252 zenon_H253 zenon_H254 zenon_H128 zenon_H64 zenon_H10 zenon_H78 zenon_H71 zenon_H70. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.60 apply (zenon_L1183_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.60 apply (zenon_L368_); trivial. % 1.48/1.60 apply (zenon_L112_); trivial. % 1.48/1.60 (* end of lemma zenon_L1241_ *) % 1.48/1.60 assert (zenon_L1242_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H7f zenon_H2de zenon_H1b2 zenon_H55 zenon_H56 zenon_H57 zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H126 zenon_H9d zenon_H252 zenon_H253 zenon_H254 zenon_H128 zenon_H1b4 zenon_H2f zenon_H38 zenon_H37 zenon_H2b zenon_H2d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.60 apply (zenon_L1150_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b5 ]. % 1.48/1.60 apply (zenon_L1241_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b3 ]. % 1.48/1.60 apply (zenon_L26_); trivial. % 1.48/1.60 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.60 apply (zenon_L19_); trivial. % 1.48/1.60 (* end of lemma zenon_L1242_ *) % 1.48/1.60 assert (zenon_L1243_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H46 zenon_H85 zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H1ad zenon_H252 zenon_H253 zenon_H254 zenon_H9d zenon_H126 zenon_H128 zenon_H1b2 zenon_H1b4 zenon_H2ce zenon_H2cd zenon_H2da zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.60 apply (zenon_L29_); trivial. % 1.48/1.60 apply (zenon_L1242_); trivial. % 1.48/1.60 (* end of lemma zenon_L1243_ *) % 1.48/1.60 assert (zenon_L1244_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a442)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H4d zenon_H85 zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H1ad zenon_H253 zenon_H1b2 zenon_H1b4 zenon_H2ce zenon_H2cd zenon_H2da zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H10 zenon_H9d zenon_H126 zenon_H128. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L383_); trivial. % 1.48/1.60 apply (zenon_L1243_); trivial. % 1.48/1.60 (* end of lemma zenon_L1244_ *) % 1.48/1.60 assert (zenon_L1245_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H4d zenon_Hc5 zenon_H289 zenon_H28b zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L388_); trivial. % 1.48/1.60 apply (zenon_L632_); trivial. % 1.48/1.60 (* end of lemma zenon_L1245_ *) % 1.48/1.60 assert (zenon_L1246_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp5)) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H1ad zenon_H1b2 zenon_H12d zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b4 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H64 zenon_H10 zenon_H78 zenon_H71 zenon_H70. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.60 apply (zenon_L1184_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.60 apply (zenon_L452_); trivial. % 1.48/1.60 apply (zenon_L112_); trivial. % 1.48/1.60 (* end of lemma zenon_L1246_ *) % 1.48/1.60 assert (zenon_L1247_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> (~(c2_1 (a484))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (c1_1 (a484)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp5)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp24)) -> (~(c3_1 (a484))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H2de zenon_H70 zenon_H71 zenon_H78 zenon_Hb1 zenon_Hde zenon_Hb3 zenon_H1ad zenon_H1b2 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b4 zenon_H51 zenon_Hb2 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H2ac zenon_H2f zenon_H38 zenon_H37 zenon_H10 zenon_H2b zenon_H2d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.60 apply (zenon_L1150_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.48/1.60 apply (zenon_L1246_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.48/1.60 apply (zenon_L60_); trivial. % 1.48/1.60 apply (zenon_L112_); trivial. % 1.48/1.60 apply (zenon_L19_); trivial. % 1.48/1.60 (* end of lemma zenon_L1247_ *) % 1.48/1.60 assert (zenon_L1248_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(hskp25)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H13e zenon_H2ce zenon_H2cd zenon_H25 zenon_H70 zenon_H71 zenon_H78 zenon_H10 zenon_H64 zenon_H13c. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H89 | zenon_intro zenon_H13f ]. % 1.48/1.60 apply (zenon_L1147_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H1b | zenon_intro zenon_H13d ]. % 1.48/1.60 apply (zenon_L112_); trivial. % 1.48/1.60 exact (zenon_H13c zenon_H13d). % 1.48/1.60 (* end of lemma zenon_L1248_ *) % 1.48/1.60 assert (zenon_L1249_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp25)) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H1ad zenon_H13c zenon_H78 zenon_H71 zenon_H70 zenon_H2cd zenon_H2ce zenon_H13e zenon_Hdc zenon_H4a zenon_H38 zenon_H37 zenon_Hcf zenon_Hd0 zenon_H64 zenon_Hcd zenon_H10 zenon_H7d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.60 apply (zenon_L1248_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.60 apply (zenon_L71_); trivial. % 1.48/1.60 apply (zenon_L269_); trivial. % 1.48/1.60 (* end of lemma zenon_L1249_ *) % 1.48/1.60 assert (zenon_L1250_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a432))) -> (~(hskp8)) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (c2_1 (a437)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(hskp25)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (~(hskp12)) -> (~(hskp3)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H7f zenon_H2de zenon_H2da zenon_H7d zenon_Hcd zenon_Hd0 zenon_Hcf zenon_H4a zenon_Hdc zenon_H13e zenon_H2ce zenon_H2cd zenon_H13c zenon_H1ad zenon_H2f zenon_H38 zenon_H37 zenon_H2b zenon_H2d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.60 apply (zenon_L1150_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.60 apply (zenon_L1249_); trivial. % 1.48/1.60 apply (zenon_L19_); trivial. % 1.48/1.60 (* end of lemma zenon_L1250_ *) % 1.48/1.60 assert (zenon_L1251_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H46 zenon_H85 zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H13e zenon_H13c zenon_Hcd zenon_Hd0 zenon_Hcf zenon_Hdc zenon_H7d zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.60 apply (zenon_L29_); trivial. % 1.48/1.60 apply (zenon_L1250_); trivial. % 1.48/1.60 (* end of lemma zenon_L1251_ *) % 1.48/1.60 assert (zenon_L1252_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.60 do 0 intro. intros zenon_Hed zenon_H4d zenon_H85 zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H13e zenon_H13c zenon_Hdc zenon_H7d zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L388_); trivial. % 1.48/1.60 apply (zenon_L1251_); trivial. % 1.48/1.60 (* end of lemma zenon_L1252_ *) % 1.48/1.60 assert (zenon_L1253_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H2b zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L352_); trivial. % 1.48/1.60 apply (zenon_L1151_); trivial. % 1.48/1.60 (* end of lemma zenon_L1253_ *) % 1.48/1.60 assert (zenon_L1254_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (~(hskp3)) -> (~(hskp12)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c0_1 (a442)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H7f zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H2d zenon_H2b zenon_H37 zenon_H38 zenon_H2f zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H253 zenon_H2de zenon_H128 zenon_H254 zenon_H252 zenon_H9d zenon_H126. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.48/1.60 apply (zenon_L65_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.60 apply (zenon_L1150_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.60 apply (zenon_L1241_); trivial. % 1.48/1.60 apply (zenon_L19_); trivial. % 1.48/1.60 apply (zenon_L390_); trivial. % 1.48/1.60 (* end of lemma zenon_L1254_ *) % 1.48/1.60 assert (zenon_L1255_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H46 zenon_H85 zenon_H210 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1ad zenon_H252 zenon_H253 zenon_H254 zenon_H9d zenon_H126 zenon_H128 zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.60 apply (zenon_L29_); trivial. % 1.48/1.60 apply (zenon_L1254_); trivial. % 1.48/1.60 (* end of lemma zenon_L1255_ *) % 1.48/1.60 assert (zenon_L1256_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a442)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H4d zenon_H85 zenon_H210 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1ad zenon_H253 zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H10 zenon_H9d zenon_H126 zenon_H128. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L383_); trivial. % 1.48/1.60 apply (zenon_L1255_); trivial. % 1.48/1.60 (* end of lemma zenon_L1256_ *) % 1.48/1.60 assert (zenon_L1257_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H1af zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_Hc7 zenon_H38 zenon_H37 zenon_H10 zenon_Hc5 zenon_H7d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.60 apply (zenon_L1183_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.60 apply (zenon_L452_); trivial. % 1.48/1.60 apply (zenon_L68_); trivial. % 1.48/1.60 (* end of lemma zenon_L1257_ *) % 1.48/1.60 assert (zenon_L1258_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> (~(hskp8)) -> (~(hskp26)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(hskp3)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H46 zenon_H210 zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H7d zenon_Hc5 zenon_Hc7 zenon_Hba zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1ad zenon_H202 zenon_H253 zenon_H254 zenon_H252 zenon_H57 zenon_H56 zenon_H55 zenon_H2d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.48/1.60 apply (zenon_L65_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.48/1.60 apply (zenon_L1257_); trivial. % 1.48/1.60 apply (zenon_L395_); trivial. % 1.48/1.60 (* end of lemma zenon_L1258_ *) % 1.48/1.60 assert (zenon_L1259_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (~(hskp26)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H4d zenon_H210 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_H2da zenon_H2cd zenon_H2ce zenon_Hc7 zenon_H7d zenon_Hc5 zenon_H1ad zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L388_); trivial. % 1.48/1.60 apply (zenon_L1258_); trivial. % 1.48/1.60 (* end of lemma zenon_L1259_ *) % 1.48/1.60 assert (zenon_L1260_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_Heb zenon_H85 zenon_H2de zenon_H2b zenon_H2f zenon_H13e zenon_H13c zenon_Hdc zenon_H60 zenon_H62 zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H1ad zenon_H7d zenon_Hc7 zenon_H2ce zenon_H2cd zenon_H2da zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H210 zenon_H4d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.60 apply (zenon_L1259_); trivial. % 1.48/1.60 apply (zenon_L1252_); trivial. % 1.48/1.60 (* end of lemma zenon_L1260_ *) % 1.48/1.60 assert (zenon_L1261_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c0_1 (a442)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_Heb zenon_H13e zenon_Hdc zenon_Hba zenon_H7d zenon_Hc7 zenon_H202 zenon_H80 zenon_H142 zenon_H19b zenon_H152 zenon_H128 zenon_H126 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H253 zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H210 zenon_H85 zenon_H4d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.48/1.60 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.60 apply (zenon_L1256_); trivial. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.60 apply (zenon_L1260_); trivial. % 1.48/1.60 apply (zenon_L125_); trivial. % 1.48/1.60 apply (zenon_L1253_); trivial. % 1.48/1.60 (* end of lemma zenon_L1261_ *) % 1.48/1.60 assert (zenon_L1262_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp25)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H1ad zenon_H13c zenon_H2cd zenon_H2ce zenon_H13e zenon_H10a zenon_H109 zenon_H108 zenon_H64 zenon_H10 zenon_H78 zenon_H71 zenon_H70. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.60 apply (zenon_L1248_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.60 apply (zenon_L76_); trivial. % 1.48/1.60 apply (zenon_L112_); trivial. % 1.48/1.60 (* end of lemma zenon_L1262_ *) % 1.48/1.60 assert (zenon_L1263_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (~(c3_1 (a474))) -> (c0_1 (a474)) -> (c1_1 (a474)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H29b zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H13e zenon_H13c zenon_H108 zenon_H109 zenon_H10a zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H299 zenon_H85. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L760_); trivial. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.60 apply (zenon_L533_); trivial. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.60 apply (zenon_L1150_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.60 apply (zenon_L1262_); trivial. % 1.48/1.60 apply (zenon_L19_); trivial. % 1.48/1.60 (* end of lemma zenon_L1263_ *) % 1.48/1.60 assert (zenon_L1264_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp25)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c1_1 (a447)) -> (c3_1 (a447)) -> (c2_1 (a447)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp28)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H13c zenon_H64 zenon_H10 zenon_H78 zenon_H71 zenon_H70 zenon_H2cd zenon_H2ce zenon_H13e zenon_H31. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.60 apply (zenon_L9_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.60 apply (zenon_L1248_); trivial. % 1.48/1.60 exact (zenon_H31 zenon_H32). % 1.48/1.60 (* end of lemma zenon_L1264_ *) % 1.48/1.60 assert (zenon_L1265_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp25)) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp28)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H13c zenon_H10 zenon_H6e zenon_H70 zenon_H71 zenon_H78 zenon_H2cd zenon_H2ce zenon_H13e zenon_H31. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.60 apply (zenon_L9_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H89 | zenon_intro zenon_H13f ]. % 1.48/1.60 apply (zenon_L1147_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H1b | zenon_intro zenon_H13d ]. % 1.48/1.60 apply (zenon_L32_); trivial. % 1.48/1.60 exact (zenon_H13c zenon_H13d). % 1.48/1.60 exact (zenon_H31 zenon_H32). % 1.48/1.60 (* end of lemma zenon_L1265_ *) % 1.48/1.60 assert (zenon_L1266_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp28)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(hskp25)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp8)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H7f zenon_H80 zenon_H31 zenon_H13e zenon_H2ce zenon_H2cd zenon_H13c zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H7d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.48/1.60 apply (zenon_L1264_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.48/1.60 apply (zenon_L1265_); trivial. % 1.48/1.60 exact (zenon_H7d zenon_H7e). % 1.48/1.60 (* end of lemma zenon_L1266_ *) % 1.48/1.60 assert (zenon_L1267_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(hskp28)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H85 zenon_H80 zenon_H7d zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H13c zenon_H2ce zenon_H2cd zenon_H31 zenon_H33 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.60 apply (zenon_L29_); trivial. % 1.48/1.60 apply (zenon_L1266_); trivial. % 1.48/1.60 (* end of lemma zenon_L1267_ *) % 1.48/1.60 assert (zenon_L1268_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H85 zenon_H80 zenon_H7d zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H2ce zenon_H2cd zenon_H33 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H2da zenon_H1b4 zenon_H1b2 zenon_H128 zenon_H126 zenon_H9d zenon_H254 zenon_H253 zenon_H252 zenon_H1ad zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H4d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L1267_); trivial. % 1.48/1.60 apply (zenon_L1243_); trivial. % 1.48/1.60 apply (zenon_L125_); trivial. % 1.48/1.60 (* end of lemma zenon_L1268_ *) % 1.48/1.60 assert (zenon_L1269_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H4d zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hc5 zenon_H289 zenon_H28b zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13c zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_H85. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L1267_); trivial. % 1.48/1.60 apply (zenon_L632_); trivial. % 1.48/1.60 (* end of lemma zenon_L1269_ *) % 1.48/1.60 assert (zenon_L1270_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H29b zenon_H4d zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2ac zenon_H1b4 zenon_H1b2 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_Hba zenon_H51 zenon_H254 zenon_H253 zenon_H252 zenon_H1ad zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H299 zenon_H85. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L760_); trivial. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.60 apply (zenon_L533_); trivial. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.60 apply (zenon_L1247_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.60 apply (zenon_L9_); trivial. % 1.48/1.60 exact (zenon_H182 zenon_H183). % 1.48/1.60 (* end of lemma zenon_L1270_ *) % 1.48/1.60 assert (zenon_L1271_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_Hdc zenon_H1ad zenon_H2da zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13c zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_H85. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L1267_); trivial. % 1.48/1.60 apply (zenon_L1251_); trivial. % 1.48/1.60 (* end of lemma zenon_L1271_ *) % 1.48/1.60 assert (zenon_L1272_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H85 zenon_H80 zenon_H7d zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H2ce zenon_H2cd zenon_H33 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H128 zenon_H126 zenon_H9d zenon_H254 zenon_H253 zenon_H252 zenon_H1ad zenon_H2da zenon_H210 zenon_H4d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L1267_); trivial. % 1.48/1.60 apply (zenon_L1255_); trivial. % 1.48/1.60 apply (zenon_L125_); trivial. % 1.48/1.60 (* end of lemma zenon_L1272_ *) % 1.48/1.60 assert (zenon_L1273_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp26)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H29b zenon_H4d zenon_H210 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_H2da zenon_H2cd zenon_H2ce zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H254 zenon_H253 zenon_H252 zenon_Hc7 zenon_Hc5 zenon_H1ad zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H299 zenon_H85. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L760_); trivial. % 1.48/1.60 apply (zenon_L1258_); trivial. % 1.48/1.60 (* end of lemma zenon_L1273_ *) % 1.48/1.60 assert (zenon_L1274_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c0_1 (a432))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a475)) -> (~(c1_1 (a475))) -> (~(c0_1 (a475))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H29e zenon_H210 zenon_H2d zenon_H202 zenon_H2da zenon_H254 zenon_H253 zenon_H252 zenon_Hc7 zenon_H1ad zenon_Hf8 zenon_Hf7 zenon_Hf6 zenon_H297 zenon_H9b zenon_H299 zenon_H85 zenon_H80 zenon_H7d zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H13c zenon_H2ce zenon_H2cd zenon_H33 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H28b zenon_Hc5 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H4d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.48/1.60 apply (zenon_L1269_); trivial. % 1.48/1.60 apply (zenon_L1273_); trivial. % 1.48/1.60 (* end of lemma zenon_L1274_ *) % 1.48/1.60 assert (zenon_L1275_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c3_1 (a474))) -> (c0_1 (a474)) -> (c1_1 (a474)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H29e zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H108 zenon_H109 zenon_H10a zenon_H1ad zenon_H2da zenon_H297 zenon_H9b zenon_H299 zenon_H85 zenon_H80 zenon_H7d zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H13c zenon_H2ce zenon_H2cd zenon_H33 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H28b zenon_Hc5 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H4d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.48/1.60 apply (zenon_L1269_); trivial. % 1.48/1.60 apply (zenon_L1263_); trivial. % 1.48/1.60 (* end of lemma zenon_L1275_ *) % 1.48/1.60 assert (zenon_L1276_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(c0_1 (a432))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_Heb zenon_Hdc zenon_H4d zenon_Hba zenon_H28b zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_H85 zenon_H299 zenon_H9b zenon_H297 zenon_H2da zenon_H1ad zenon_H10a zenon_H109 zenon_H108 zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H29e zenon_H142 zenon_H19b zenon_H152. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.60 apply (zenon_L1275_); trivial. % 1.48/1.60 apply (zenon_L1271_); trivial. % 1.48/1.60 apply (zenon_L125_); trivial. % 1.48/1.60 apply (zenon_L1158_); trivial. % 1.48/1.60 (* end of lemma zenon_L1276_ *) % 1.48/1.60 assert (zenon_L1277_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.60 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.60 apply (zenon_L84_); trivial. % 1.48/1.60 apply (zenon_L1253_); trivial. % 1.48/1.60 (* end of lemma zenon_L1277_ *) % 1.48/1.60 assert (zenon_L1278_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.60 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H152 zenon_H85 zenon_H33 zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H4d zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.60 apply (zenon_L84_); trivial. % 1.48/1.60 apply (zenon_L1158_); trivial. % 1.48/1.60 (* end of lemma zenon_L1278_ *) % 1.48/1.60 assert (zenon_L1279_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H1af zenon_H126 zenon_H9d zenon_H252 zenon_H253 zenon_H254 zenon_H128 zenon_Hc7 zenon_H38 zenon_H37 zenon_H10 zenon_Hc5 zenon_H7d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.60 apply (zenon_L1183_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.60 apply (zenon_L368_); trivial. % 1.48/1.60 apply (zenon_L68_); trivial. % 1.48/1.60 (* end of lemma zenon_L1279_ *) % 1.48/1.60 assert (zenon_L1280_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp8)) -> False). % 1.48/1.60 do 0 intro. intros zenon_Hed zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H80 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H7d. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.60 apply (zenon_L1150_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.60 apply (zenon_L72_); trivial. % 1.48/1.60 apply (zenon_L487_); trivial. % 1.48/1.60 (* end of lemma zenon_L1280_ *) % 1.48/1.60 assert (zenon_L1281_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp26)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> False). % 1.48/1.60 do 0 intro. intros zenon_H46 zenon_H2e0 zenon_H1b2 zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H252 zenon_H253 zenon_H254 zenon_Hc7 zenon_Hc5 zenon_H7d zenon_H1b4 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.60 apply (zenon_L1150_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b5 ]. % 1.48/1.60 apply (zenon_L1257_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b3 ]. % 1.48/1.60 apply (zenon_L85_); trivial. % 1.48/1.60 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.60 apply (zenon_L49_); trivial. % 1.48/1.60 (* end of lemma zenon_L1281_ *) % 1.48/1.60 assert (zenon_L1282_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_Heb zenon_H2de zenon_H80 zenon_Hdc zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b4 zenon_H1b2 zenon_Hc7 zenon_H7d zenon_H1ad zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_H4d. % 1.48/1.60 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L388_); trivial. % 1.48/1.60 apply (zenon_L1281_); trivial. % 1.48/1.60 apply (zenon_L1280_); trivial. % 1.48/1.60 (* end of lemma zenon_L1282_ *) % 1.48/1.60 assert (zenon_L1283_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.48/1.60 do 0 intro. intros zenon_H169 zenon_Hf1 zenon_H88 zenon_Hc0 zenon_H2e0 zenon_Hba zenon_H4d zenon_H1b4 zenon_H1b2 zenon_H2da zenon_H2cd zenon_H2ce zenon_H128 zenon_H126 zenon_Hc7 zenon_H7d zenon_H1ad zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H80 zenon_H2de zenon_Heb zenon_H210 zenon_H2f zenon_H2b zenon_H16a. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.60 apply (zenon_L352_); trivial. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b5 ]. % 1.48/1.60 apply (zenon_L1279_); trivial. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b3 ]. % 1.48/1.60 apply (zenon_L26_); trivial. % 1.48/1.60 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.60 apply (zenon_L1280_); trivial. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.60 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.60 apply (zenon_L1282_); trivial. % 1.48/1.60 apply (zenon_L1197_); trivial. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.48/1.60 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.48/1.60 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.60 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.61 apply (zenon_L352_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.48/1.61 apply (zenon_L65_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.48/1.61 apply (zenon_L1279_); trivial. % 1.48/1.61 apply (zenon_L395_); trivial. % 1.48/1.61 apply (zenon_L1280_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.61 apply (zenon_L1259_); trivial. % 1.48/1.61 apply (zenon_L1280_); trivial. % 1.48/1.61 apply (zenon_L1253_); trivial. % 1.48/1.61 apply (zenon_L77_); trivial. % 1.48/1.61 (* end of lemma zenon_L1283_ *) % 1.48/1.61 assert (zenon_L1284_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp26)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H29b zenon_H4d zenon_H2e0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1ad zenon_Hc5 zenon_Hc7 zenon_H252 zenon_H253 zenon_H254 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H1b2 zenon_H1b4 zenon_H2ce zenon_H2cd zenon_H2da zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H299 zenon_H85. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.61 apply (zenon_L760_); trivial. % 1.48/1.61 apply (zenon_L1281_); trivial. % 1.48/1.61 (* end of lemma zenon_L1284_ *) % 1.48/1.61 assert (zenon_L1285_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(c0_1 (a432))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_Heb zenon_H2de zenon_Hdc zenon_H4d zenon_Hba zenon_H28b zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_H85 zenon_H299 zenon_H9b zenon_H297 zenon_H2da zenon_H1b4 zenon_H1b2 zenon_H254 zenon_H253 zenon_H252 zenon_Hc7 zenon_H1ad zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_H29e zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H152. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.48/1.61 apply (zenon_L1269_); trivial. % 1.48/1.61 apply (zenon_L1284_); trivial. % 1.48/1.61 apply (zenon_L1280_); trivial. % 1.48/1.61 apply (zenon_L244_); trivial. % 1.48/1.61 apply (zenon_L1197_); trivial. % 1.48/1.61 (* end of lemma zenon_L1285_ *) % 1.48/1.61 assert (zenon_L1286_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(c0_1 (a432))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_Heb zenon_H2de zenon_Hdc zenon_H4d zenon_Hba zenon_H28b zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_H85 zenon_H299 zenon_H297 zenon_H2da zenon_H1b4 zenon_H1b2 zenon_H254 zenon_H253 zenon_H252 zenon_Hc7 zenon_H1ad zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_H29e zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H152 zenon_H99 zenon_H9b zenon_H9f. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L45_); trivial. % 1.48/1.61 apply (zenon_L1285_); trivial. % 1.48/1.61 (* end of lemma zenon_L1286_ *) % 1.48/1.61 assert (zenon_L1287_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_Heb zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H4d zenon_Hba zenon_H28b zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_H85 zenon_H299 zenon_H9b zenon_H297 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H1ad zenon_Hc7 zenon_H252 zenon_H253 zenon_H254 zenon_H2da zenon_H202 zenon_H2d zenon_H210 zenon_H29e zenon_H142 zenon_H19b zenon_H152. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.61 apply (zenon_L1274_); trivial. % 1.48/1.61 apply (zenon_L1280_); trivial. % 1.48/1.61 apply (zenon_L125_); trivial. % 1.48/1.61 apply (zenon_L1161_); trivial. % 1.48/1.61 (* end of lemma zenon_L1287_ *) % 1.48/1.61 assert (zenon_L1288_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H95 zenon_H189 zenon_H152 zenon_H13e zenon_H103 zenon_H182 zenon_H185 zenon_H16a zenon_H2b zenon_H2f zenon_H210 zenon_Heb zenon_H2de zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H1ad zenon_H7d zenon_Hc7 zenon_H126 zenon_H128 zenon_H2ce zenon_H2cd zenon_H2da zenon_H1b2 zenon_H1b4 zenon_H4d zenon_Hba zenon_H2e0 zenon_Hc0 zenon_H88 zenon_Hf1 zenon_H169. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.61 apply (zenon_L1283_); trivial. % 1.48/1.61 apply (zenon_L130_); trivial. % 1.48/1.61 (* end of lemma zenon_L1288_ *) % 1.48/1.61 assert (zenon_L1289_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Heb zenon_H2de zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H33 zenon_Hdc zenon_H7d zenon_H254 zenon_H253 zenon_H252 zenon_H156 zenon_H155 zenon_H9d zenon_H126 zenon_H128 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_Hc7 zenon_H1ad zenon_H4d. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.61 apply (zenon_L892_); trivial. % 1.48/1.61 apply (zenon_L1280_); trivial. % 1.48/1.61 (* end of lemma zenon_L1289_ *) % 1.48/1.61 assert (zenon_L1290_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H174 zenon_H176 zenon_H175 zenon_Hba zenon_H253 zenon_H254 zenon_H252 zenon_H210. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.61 apply (zenon_L414_); trivial. % 1.48/1.61 apply (zenon_L506_); trivial. % 1.48/1.61 (* end of lemma zenon_L1290_ *) % 1.48/1.61 assert (zenon_L1291_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_Hba zenon_H253 zenon_H174 zenon_H176 zenon_H175 zenon_H128 zenon_H126 zenon_H254 zenon_H252 zenon_H210. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L391_); trivial. % 1.48/1.61 apply (zenon_L1290_); trivial. % 1.48/1.61 (* end of lemma zenon_L1291_ *) % 1.48/1.61 assert (zenon_L1292_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H16a zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H7d zenon_H80 zenon_Hba zenon_H253 zenon_H128 zenon_H126 zenon_H254 zenon_H252 zenon_H210 zenon_Hc0 zenon_Hbc zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_H1 zenon_He9 zenon_Hec. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.61 apply (zenon_L136_); trivial. % 1.48/1.61 apply (zenon_L1291_); trivial. % 1.48/1.61 (* end of lemma zenon_L1292_ *) % 1.48/1.61 assert (zenon_L1293_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp25)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp28)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H7f zenon_H185 zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H33 zenon_H13c zenon_H2cd zenon_H2ce zenon_H13e zenon_H31 zenon_H80 zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.48/1.61 apply (zenon_L1264_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.48/1.61 apply (zenon_L107_); trivial. % 1.48/1.61 exact (zenon_H7d zenon_H7e). % 1.48/1.61 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.61 apply (zenon_L9_); trivial. % 1.48/1.61 exact (zenon_H182 zenon_H183). % 1.48/1.61 (* end of lemma zenon_L1293_ *) % 1.48/1.61 assert (zenon_L1294_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp28)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H85 zenon_H33 zenon_H31 zenon_H13c zenon_H13e zenon_H7d zenon_H80 zenon_H2e0 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H60 zenon_H62 zenon_H2ce zenon_H2cd zenon_H2da zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H182 zenon_H185. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.61 apply (zenon_L1210_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.61 apply (zenon_L9_); trivial. % 1.48/1.61 exact (zenon_H182 zenon_H183). % 1.48/1.61 apply (zenon_L1293_); trivial. % 1.48/1.61 (* end of lemma zenon_L1294_ *) % 1.48/1.61 assert (zenon_L1295_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp25)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H7f zenon_H185 zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H1ad zenon_H13c zenon_H2cd zenon_H2ce zenon_H13e zenon_H10a zenon_H109 zenon_H108 zenon_H80 zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.48/1.61 apply (zenon_L1262_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.48/1.61 apply (zenon_L107_); trivial. % 1.48/1.61 exact (zenon_H7d zenon_H7e). % 1.48/1.61 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.61 apply (zenon_L9_); trivial. % 1.48/1.61 exact (zenon_H182 zenon_H183). % 1.48/1.61 (* end of lemma zenon_L1295_ *) % 1.48/1.61 assert (zenon_L1296_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H29b zenon_H85 zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H1ad zenon_H10a zenon_H109 zenon_H108 zenon_H2cd zenon_H2ce zenon_H13c zenon_H13e zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H9b zenon_H297. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.61 apply (zenon_L533_); trivial. % 1.48/1.61 apply (zenon_L1295_); trivial. % 1.48/1.61 (* end of lemma zenon_L1296_ *) % 1.48/1.61 assert (zenon_L1297_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a474)) -> (c0_1 (a474)) -> (~(c3_1 (a474))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H29e zenon_H1ad zenon_H10a zenon_H109 zenon_H108 zenon_H9b zenon_H297 zenon_H85 zenon_H33 zenon_H13c zenon_H13e zenon_H7d zenon_H80 zenon_H2e0 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H60 zenon_H62 zenon_H2ce zenon_H2cd zenon_H2da zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H182 zenon_H185 zenon_H28b zenon_Hc5 zenon_H51 zenon_Hba zenon_H4d. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.61 apply (zenon_L1294_); trivial. % 1.48/1.61 apply (zenon_L632_); trivial. % 1.48/1.61 apply (zenon_L1296_); trivial. % 1.48/1.61 (* end of lemma zenon_L1297_ *) % 1.48/1.61 assert (zenon_L1298_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp29)) -> (~(hskp16)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp25)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H1ce zenon_H176 zenon_H175 zenon_H174 zenon_H62 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H5e zenon_H60 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e0 zenon_H13c zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H37 zenon_H38 zenon_H267 zenon_H5. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.61 apply (zenon_L1210_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.61 apply (zenon_L353_); trivial. % 1.48/1.61 exact (zenon_H5 zenon_H6). % 1.48/1.61 (* end of lemma zenon_L1298_ *) % 1.48/1.61 assert (zenon_L1299_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp25)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H7f zenon_H185 zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H1ad zenon_H13c zenon_H2cd zenon_H2ce zenon_H13e zenon_Hdc zenon_H4a zenon_H38 zenon_H37 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H80 zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.48/1.61 apply (zenon_L1249_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.48/1.61 apply (zenon_L107_); trivial. % 1.48/1.61 exact (zenon_H7d zenon_H7e). % 1.48/1.61 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.61 apply (zenon_L9_); trivial. % 1.48/1.61 exact (zenon_H182 zenon_H183). % 1.48/1.61 (* end of lemma zenon_L1299_ *) % 1.48/1.61 assert (zenon_L1300_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hed zenon_H4d zenon_H1ad zenon_Hdc zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H2da zenon_H2cd zenon_H2ce zenon_H62 zenon_H60 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H174 zenon_H175 zenon_H176 zenon_H2e0 zenon_H80 zenon_H7d zenon_H13e zenon_H13c zenon_H33 zenon_H85. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.61 apply (zenon_L1294_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.61 apply (zenon_L1298_); trivial. % 1.48/1.61 apply (zenon_L1299_); trivial. % 1.48/1.61 (* end of lemma zenon_L1300_ *) % 1.48/1.61 assert (zenon_L1301_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H169 zenon_Hec zenon_He9 zenon_H1 zenon_H10 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H210 zenon_H252 zenon_H254 zenon_H126 zenon_H128 zenon_Heb zenon_H2de zenon_H80 zenon_Hdc zenon_Hba zenon_H253 zenon_H3 zenon_H265 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b4 zenon_H1b2 zenon_Hc7 zenon_H7d zenon_H1ad zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_H4d zenon_H88 zenon_Hf1 zenon_H16a. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.61 apply (zenon_L136_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L391_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.61 apply (zenon_L1282_); trivial. % 1.48/1.61 apply (zenon_L1161_); trivial. % 1.48/1.61 apply (zenon_L77_); trivial. % 1.48/1.61 (* end of lemma zenon_L1301_ *) % 1.48/1.61 assert (zenon_L1302_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp14)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c0_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H184 zenon_H169 zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hec zenon_He9 zenon_H1 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H210 zenon_H252 zenon_H254 zenon_H126 zenon_H128 zenon_H253 zenon_Hba zenon_H80 zenon_H7d zenon_H182 zenon_H185 zenon_H88 zenon_Hf1 zenon_H16a. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.61 apply (zenon_L1292_); trivial. % 1.48/1.61 apply (zenon_L77_); trivial. % 1.48/1.61 (* end of lemma zenon_L1302_ *) % 1.48/1.61 assert (zenon_L1303_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_He7 zenon_H99 zenon_H9b zenon_H9f. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L45_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.61 apply (zenon_L173_); trivial. % 1.48/1.61 apply (zenon_L1253_); trivial. % 1.48/1.61 (* end of lemma zenon_L1303_ *) % 1.48/1.61 assert (zenon_L1304_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(hskp28)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp5)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H130 zenon_H31 zenon_H1b4 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H1b2 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H67 zenon_H66 zenon_H65 zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.48/1.61 apply (zenon_L1185_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.48/1.61 apply (zenon_L30_); trivial. % 1.48/1.61 apply (zenon_L184_); trivial. % 1.48/1.61 (* end of lemma zenon_L1304_ *) % 1.48/1.61 assert (zenon_L1305_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H84 zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H12 zenon_H13 zenon_H14 zenon_H1b4 zenon_H1b2 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2ce zenon_H2cd zenon_H2da zenon_H33 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.61 apply (zenon_L1304_); trivial. % 1.48/1.61 apply (zenon_L354_); trivial. % 1.48/1.61 apply (zenon_L125_); trivial. % 1.48/1.61 (* end of lemma zenon_L1305_ *) % 1.48/1.61 assert (zenon_L1306_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_Hba zenon_H1c8 zenon_H8c zenon_H8b zenon_H8a zenon_H116 zenon_H115 zenon_H11f zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H1b2 zenon_H1b4. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L329_); trivial. % 1.48/1.61 apply (zenon_L1277_); trivial. % 1.48/1.61 (* end of lemma zenon_L1306_ *) % 1.48/1.61 assert (zenon_L1307_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H12 zenon_H13 zenon_H14 zenon_H1b4 zenon_H1b2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H33 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.61 apply (zenon_L84_); trivial. % 1.48/1.61 apply (zenon_L1305_); trivial. % 1.48/1.61 (* end of lemma zenon_L1307_ *) % 1.48/1.61 assert (zenon_L1308_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H95 zenon_H16b zenon_H1c8 zenon_H2f zenon_H2b zenon_H2de zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H13e zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_He7 zenon_Hba zenon_H33 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1b2 zenon_H1b4 zenon_H130 zenon_H88 zenon_Hf1 zenon_H189. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.61 apply (zenon_L356_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L185_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.61 apply (zenon_L173_); trivial. % 1.48/1.61 apply (zenon_L1305_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.61 apply (zenon_L1306_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L329_); trivial. % 1.48/1.61 apply (zenon_L1307_); trivial. % 1.48/1.61 (* end of lemma zenon_L1308_ *) % 1.48/1.61 assert (zenon_L1309_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp25)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H46 zenon_H85 zenon_H65 zenon_H66 zenon_H67 zenon_H7d zenon_H80 zenon_H2e0 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H60 zenon_H62 zenon_H2ce zenon_H2cd zenon_H2da zenon_H267 zenon_H13c zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.61 apply (zenon_L1298_); trivial. % 1.48/1.61 apply (zenon_L191_); trivial. % 1.48/1.61 (* end of lemma zenon_L1309_ *) % 1.48/1.61 assert (zenon_L1310_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H11f zenon_H115 zenon_H116 zenon_Hba zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L185_); trivial. % 1.48/1.61 apply (zenon_L1198_); trivial. % 1.48/1.61 (* end of lemma zenon_L1310_ *) % 1.48/1.61 assert (zenon_L1311_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H7d zenon_H80 zenon_H128 zenon_H126 zenon_H9d zenon_H10 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H267 zenon_H253 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.61 apply (zenon_L383_); trivial. % 1.48/1.61 apply (zenon_L421_); trivial. % 1.48/1.61 apply (zenon_L125_); trivial. % 1.48/1.61 (* end of lemma zenon_L1311_ *) % 1.48/1.61 assert (zenon_L1312_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H54 zenon_Hde zenon_H10 zenon_H174 zenon_H175 zenon_H176. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.61 apply (zenon_L1150_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.61 apply (zenon_L85_); trivial. % 1.48/1.61 apply (zenon_L107_); trivial. % 1.48/1.61 (* end of lemma zenon_L1312_ *) % 1.48/1.61 assert (zenon_L1313_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp3)) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf2 zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_He9 zenon_H1 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H174 zenon_H175 zenon_H176 zenon_Hec zenon_H2d. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.61 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ee ]. % 1.48/1.61 apply (zenon_L223_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hde | zenon_intro zenon_Hf0 ]. % 1.48/1.61 apply (zenon_L1312_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H2 | zenon_intro zenon_Hea ]. % 1.48/1.61 exact (zenon_H1 zenon_H2). % 1.48/1.61 exact (zenon_He9 zenon_Hea). % 1.48/1.61 exact (zenon_H2d zenon_H2e). % 1.48/1.61 (* end of lemma zenon_L1313_ *) % 1.48/1.61 assert (zenon_L1314_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H1d1 zenon_H168 zenon_Hf1 zenon_H1ed zenon_H2d zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_He9 zenon_Hec zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H9b zenon_H9f zenon_H1eb zenon_H16b. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L45_); trivial. % 1.48/1.61 apply (zenon_L1313_); trivial. % 1.48/1.61 apply (zenon_L225_); trivial. % 1.48/1.61 apply (zenon_L226_); trivial. % 1.48/1.61 (* end of lemma zenon_L1314_ *) % 1.48/1.61 assert (zenon_L1315_ : ((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H212 zenon_H1f2 zenon_H168 zenon_H1ed zenon_H2d zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H16b zenon_H1eb zenon_H9f zenon_Hec zenon_He9 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e0 zenon_Hf1 zenon_H1d0. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.48/1.61 apply (zenon_L910_); trivial. % 1.48/1.61 apply (zenon_L1314_); trivial. % 1.48/1.61 apply (zenon_L227_); trivial. % 1.48/1.61 (* end of lemma zenon_L1315_ *) % 1.48/1.61 assert (zenon_L1316_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> (~(c3_1 (a445))) -> (~(c1_1 (a445))) -> (~(c0_1 (a445))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H1d1 zenon_H168 zenon_H16b zenon_H1eb zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_He7 zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_He9 zenon_Hec. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.61 apply (zenon_L259_); trivial. % 1.48/1.61 apply (zenon_L263_); trivial. % 1.48/1.61 (* end of lemma zenon_L1316_ *) % 1.48/1.61 assert (zenon_L1317_ : ((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H212 zenon_H1d0 zenon_H1ca zenon_Hec zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_He9 zenon_H1eb zenon_H16b zenon_H168. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.61 apply (zenon_L348_); trivial. % 1.48/1.61 apply (zenon_L263_); trivial. % 1.48/1.61 apply (zenon_L1316_); trivial. % 1.48/1.61 (* end of lemma zenon_L1317_ *) % 1.48/1.61 assert (zenon_L1318_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp19)) -> (~(hskp28)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H1c8 zenon_H3 zenon_H31 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Haa | zenon_intro zenon_H1c9 ]. % 1.48/1.61 apply (zenon_L387_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H42 | zenon_intro zenon_H9e ]. % 1.48/1.61 apply (zenon_L274_); trivial. % 1.48/1.61 exact (zenon_H9d zenon_H9e). % 1.48/1.61 (* end of lemma zenon_L1318_ *) % 1.48/1.61 assert (zenon_L1319_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (c0_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp19)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H253 zenon_H1c8 zenon_H3 zenon_H31 zenon_H10 zenon_H252 zenon_H254 zenon_H265 zenon_H1b2. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.61 apply (zenon_L1318_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.61 apply (zenon_L382_); trivial. % 1.48/1.61 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.61 (* end of lemma zenon_L1319_ *) % 1.48/1.61 assert (zenon_L1320_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp3)) -> (~(hskp12)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H7f zenon_H22b zenon_H9d zenon_H1c8 zenon_H2d zenon_H2b zenon_H37 zenon_H38 zenon_H2f zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H254 zenon_H253 zenon_H252 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2de zenon_H1b2. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.61 apply (zenon_L1150_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.61 apply (zenon_L268_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.61 apply (zenon_L451_); trivial. % 1.48/1.61 apply (zenon_L112_); trivial. % 1.48/1.61 apply (zenon_L19_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.61 apply (zenon_L1150_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.61 apply (zenon_L268_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.61 apply (zenon_L365_); trivial. % 1.48/1.61 apply (zenon_L112_); trivial. % 1.48/1.61 apply (zenon_L19_); trivial. % 1.48/1.61 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.61 (* end of lemma zenon_L1320_ *) % 1.48/1.61 assert (zenon_L1321_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H4d zenon_H85 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1ad zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1b2 zenon_H22b. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.61 apply (zenon_L1319_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.61 apply (zenon_L29_); trivial. % 1.48/1.61 apply (zenon_L1320_); trivial. % 1.48/1.61 (* end of lemma zenon_L1321_ *) % 1.48/1.61 assert (zenon_L1322_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H202 zenon_H11f zenon_H115 zenon_H116 zenon_Hba zenon_H22b zenon_H1b2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H85 zenon_H4d. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L1321_); trivial. % 1.48/1.61 apply (zenon_L1277_); trivial. % 1.48/1.61 (* end of lemma zenon_L1322_ *) % 1.48/1.61 assert (zenon_L1323_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H1ad zenon_H254 zenon_H253 zenon_H252 zenon_H11e zenon_H1c8 zenon_H4a zenon_H38 zenon_H37 zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.61 apply (zenon_L268_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.61 apply (zenon_L365_); trivial. % 1.48/1.61 apply (zenon_L311_); trivial. % 1.48/1.61 (* end of lemma zenon_L1323_ *) % 1.48/1.61 assert (zenon_L1324_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp5)) -> False). % 1.48/1.61 do 0 intro. intros zenon_H46 zenon_H22b zenon_H11f zenon_H115 zenon_H116 zenon_H1ad zenon_H9d zenon_H1c8 zenon_H254 zenon_H253 zenon_H252 zenon_H218 zenon_H217 zenon_H216 zenon_H19b zenon_H142 zenon_H7d zenon_H227 zenon_H1b2. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.61 apply (zenon_L275_); trivial. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.48/1.61 apply (zenon_L1323_); trivial. % 1.48/1.61 apply (zenon_L276_); trivial. % 1.48/1.61 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.61 (* end of lemma zenon_L1324_ *) % 1.48/1.61 assert (zenon_L1325_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H4d zenon_H22b zenon_H1b2 zenon_H1ad zenon_H254 zenon_H253 zenon_H252 zenon_H19b zenon_H142 zenon_H7d zenon_H227 zenon_H11f zenon_H115 zenon_H116 zenon_H9d zenon_H1c8 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.61 apply (zenon_L297_); trivial. % 1.48/1.61 apply (zenon_L1324_); trivial. % 1.48/1.61 (* end of lemma zenon_L1325_ *) % 1.48/1.61 assert (zenon_L1326_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.61 do 0 intro. intros zenon_H132 zenon_H189 zenon_H33 zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H4d zenon_H85 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1ad zenon_H2f zenon_H2d zenon_H2b zenon_H2de zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H1b2 zenon_H22b zenon_Hba zenon_H202 zenon_H88 zenon_Hf1. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.61 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.61 apply (zenon_L1322_); trivial. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.61 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.61 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.61 apply (zenon_L1325_); trivial. % 1.48/1.61 apply (zenon_L1208_); trivial. % 1.48/1.62 (* end of lemma zenon_L1326_ *) % 1.48/1.62 assert (zenon_L1327_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4d zenon_H1ad zenon_H267 zenon_H218 zenon_H217 zenon_H216 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hba zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_L454_); trivial. % 1.48/1.62 apply (zenon_L1161_); trivial. % 1.48/1.62 (* end of lemma zenon_L1327_ *) % 1.48/1.62 assert (zenon_L1328_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.48/1.62 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4d zenon_H1ad zenon_H267 zenon_H218 zenon_H217 zenon_H216 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hba zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152 zenon_H99 zenon_H9b zenon_H9f. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L45_); trivial. % 1.48/1.62 apply (zenon_L1327_); trivial. % 1.48/1.62 (* end of lemma zenon_L1328_ *) % 1.48/1.62 assert (zenon_L1329_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H29b zenon_H4d zenon_H1ad zenon_H13c zenon_H267 zenon_H252 zenon_H253 zenon_H254 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H218 zenon_H217 zenon_H216 zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H299 zenon_H85. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L760_); trivial. % 1.48/1.62 apply (zenon_L453_); trivial. % 1.48/1.62 (* end of lemma zenon_L1329_ *) % 1.48/1.62 assert (zenon_L1330_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H29e zenon_H1ad zenon_H13c zenon_H267 zenon_H252 zenon_H253 zenon_H254 zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H299 zenon_H85 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H28b zenon_Hc5 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H4d. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.48/1.62 apply (zenon_L633_); trivial. % 1.48/1.62 apply (zenon_L1329_); trivial. % 1.48/1.62 (* end of lemma zenon_L1330_ *) % 1.48/1.62 assert (zenon_L1331_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H29e zenon_H1ad zenon_H267 zenon_H252 zenon_H253 zenon_H254 zenon_H297 zenon_H9b zenon_H80 zenon_H7d zenon_H299 zenon_H85 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H28b zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H4d zenon_H2da zenon_H2cd zenon_H2ce zenon_Hdc zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2de zenon_Heb. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.62 apply (zenon_L1330_); trivial. % 1.48/1.62 apply (zenon_L1280_); trivial. % 1.48/1.62 apply (zenon_L125_); trivial. % 1.48/1.62 (* end of lemma zenon_L1331_ *) % 1.48/1.62 assert (zenon_L1332_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H1ad zenon_H9d zenon_H217 zenon_H192 zenon_H216 zenon_H218 zenon_H252 zenon_H253 zenon_H254 zenon_H1c8 zenon_Hc7 zenon_H38 zenon_H37 zenon_H10 zenon_Hc5 zenon_H7d. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.62 apply (zenon_L268_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.62 apply (zenon_L451_); trivial. % 1.48/1.62 apply (zenon_L68_); trivial. % 1.48/1.62 (* end of lemma zenon_L1332_ *) % 1.48/1.62 assert (zenon_L1333_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H1b4 zenon_H8c zenon_H8b zenon_H8a zenon_H42 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H1b2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b5 ]. % 1.48/1.62 apply (zenon_L246_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b3 ]. % 1.48/1.62 apply (zenon_L26_); trivial. % 1.48/1.62 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.62 (* end of lemma zenon_L1333_ *) % 1.48/1.62 assert (zenon_L1334_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H95 zenon_H189 zenon_H13e zenon_H103 zenon_H182 zenon_H185 zenon_Heb zenon_H2de zenon_H80 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hdc zenon_H2ce zenon_H2cd zenon_H2da zenon_H22b zenon_H1b2 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H1ad zenon_H7d zenon_Hc7 zenon_H227 zenon_H55 zenon_H56 zenon_H57 zenon_H1b4 zenon_H4d zenon_H152 zenon_H19b zenon_H142 zenon_Hba zenon_H267 zenon_H88 zenon_Hf1. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1319_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.62 apply (zenon_L1332_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H192 | zenon_intro zenon_H42 ]. % 1.48/1.62 apply (zenon_L1323_); trivial. % 1.48/1.62 apply (zenon_L1333_); trivial. % 1.48/1.62 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.62 apply (zenon_L1280_); trivial. % 1.48/1.62 apply (zenon_L1327_); trivial. % 1.48/1.62 apply (zenon_L130_); trivial. % 1.48/1.62 (* end of lemma zenon_L1334_ *) % 1.48/1.62 assert (zenon_L1335_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_Hba zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H252 zenon_H253 zenon_H254 zenon_H1ad zenon_H1b2 zenon_H22b zenon_H4d. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L1325_); trivial. % 1.48/1.62 apply (zenon_L756_); trivial. % 1.48/1.62 (* end of lemma zenon_L1335_ *) % 1.48/1.62 assert (zenon_L1336_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2de zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H267 zenon_Hba zenon_H80 zenon_H152 zenon_H22b zenon_H1b2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H116 zenon_H115 zenon_H11f zenon_H227 zenon_H7d zenon_H142 zenon_H19b zenon_H1ad zenon_H4d. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1319_); trivial. % 1.48/1.62 apply (zenon_L1324_); trivial. % 1.48/1.62 apply (zenon_L1327_); trivial. % 1.48/1.62 (* end of lemma zenon_L1336_ *) % 1.48/1.62 assert (zenon_L1337_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H132 zenon_H189 zenon_H33 zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_Hba zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2f zenon_H2b zenon_H2de zenon_H4d zenon_H88 zenon_Hf1. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L691_); trivial. % 1.48/1.62 apply (zenon_L1277_); trivial. % 1.48/1.62 apply (zenon_L1209_); trivial. % 1.48/1.62 (* end of lemma zenon_L1337_ *) % 1.48/1.62 assert (zenon_L1338_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.62 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_L84_); trivial. % 1.48/1.62 apply (zenon_L713_); trivial. % 1.48/1.62 (* end of lemma zenon_L1338_ *) % 1.48/1.62 assert (zenon_L1339_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H95 zenon_H16b zenon_H1c8 zenon_H1b2 zenon_H22b zenon_H7 zenon_H5 zenon_H1 zenon_H9f zenon_H9b zenon_Hec zenon_He9 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H174 zenon_H175 zenon_H176 zenon_H1ca zenon_H4d zenon_H1ce zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H13e zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7d zenon_H80 zenon_H152 zenon_H88 zenon_Hf1 zenon_H189. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.62 apply (zenon_L714_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.62 apply (zenon_L4_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L691_); trivial. % 1.48/1.62 apply (zenon_L1338_); trivial. % 1.48/1.62 (* end of lemma zenon_L1339_ *) % 1.48/1.62 assert (zenon_L1340_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H85 zenon_H1ce zenon_H5 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H4d zenon_H1ad zenon_H267 zenon_H218 zenon_H217 zenon_H216 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hba zenon_H80 zenon_H7d zenon_H142 zenon_H19b zenon_H152. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_L454_); trivial. % 1.48/1.62 apply (zenon_L214_); trivial. % 1.48/1.62 (* end of lemma zenon_L1340_ *) % 1.48/1.62 assert (zenon_L1341_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13c zenon_H13e zenon_H202 zenon_H2d zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H65 zenon_H66 zenon_H67 zenon_H130. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L527_); trivial. % 1.48/1.62 apply (zenon_L354_); trivial. % 1.48/1.62 (* end of lemma zenon_L1341_ *) % 1.48/1.62 assert (zenon_L1342_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H2d zenon_H202 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_L1341_); trivial. % 1.48/1.62 apply (zenon_L129_); trivial. % 1.48/1.62 (* end of lemma zenon_L1342_ *) % 1.48/1.62 assert (zenon_L1343_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.48/1.62 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_L173_); trivial. % 1.48/1.62 apply (zenon_L1342_); trivial. % 1.48/1.62 (* end of lemma zenon_L1343_ *) % 1.48/1.62 assert (zenon_L1344_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (c2_1 (a463)) -> (c0_1 (a463)) -> (~(c1_1 (a463))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Hba zenon_H1c8 zenon_H8c zenon_H8b zenon_H8a zenon_H116 zenon_H115 zenon_H11f zenon_H55 zenon_H56 zenon_H57 zenon_H1b2 zenon_H1b4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L329_); trivial. % 1.48/1.62 apply (zenon_L1208_); trivial. % 1.48/1.62 (* end of lemma zenon_L1344_ *) % 1.48/1.62 assert (zenon_L1345_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H132 zenon_H189 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1b4 zenon_H1b2 zenon_H57 zenon_H56 zenon_H55 zenon_H8a zenon_H8b zenon_H8c zenon_H1c8 zenon_Hba zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2f zenon_H2b zenon_H2de zenon_H4d zenon_H88 zenon_Hf1. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.62 apply (zenon_L1306_); trivial. % 1.48/1.62 apply (zenon_L1344_); trivial. % 1.48/1.62 (* end of lemma zenon_L1345_ *) % 1.48/1.62 assert (zenon_L1346_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H95 zenon_H16b zenon_H1b4 zenon_Hf1 zenon_H88 zenon_H152 zenon_H80 zenon_H7d zenon_H130 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H13e zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_Hba zenon_He7 zenon_H57 zenon_H56 zenon_H55 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H1b2 zenon_H22b zenon_H33 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2f zenon_H2b zenon_H2de zenon_H189. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L1206_); trivial. % 1.48/1.62 apply (zenon_L1343_); trivial. % 1.48/1.62 apply (zenon_L1207_); trivial. % 1.48/1.62 apply (zenon_L1345_); trivial. % 1.48/1.62 (* end of lemma zenon_L1346_ *) % 1.48/1.62 assert (zenon_L1347_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H165 zenon_H16b zenon_H189 zenon_H33 zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2f zenon_H2b zenon_H4d zenon_H22b zenon_H1b2 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H1bc zenon_H1bb zenon_H1ba zenon_He7 zenon_Hba zenon_H2da zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2de zenon_H88 zenon_Hf1. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.62 apply (zenon_L1220_); trivial. % 1.48/1.62 apply (zenon_L1337_); trivial. % 1.48/1.62 (* end of lemma zenon_L1347_ *) % 1.48/1.62 assert (zenon_L1348_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_H189 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1b4 zenon_H1b2 zenon_H1c8 zenon_Hba zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2f zenon_H2b zenon_H2de zenon_H4d zenon_H88 zenon_Hf1 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.62 apply (zenon_L232_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.62 apply (zenon_L233_); trivial. % 1.48/1.62 apply (zenon_L1345_); trivial. % 1.48/1.62 (* end of lemma zenon_L1348_ *) % 1.48/1.62 assert (zenon_L1349_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp25)) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp28)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H33 zenon_H3 zenon_H190 zenon_H13c zenon_H10 zenon_H1c zenon_H1e zenon_H26 zenon_H2cd zenon_H2ce zenon_H13e zenon_H31. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.62 apply (zenon_L116_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.62 apply (zenon_L1148_); trivial. % 1.48/1.62 exact (zenon_H31 zenon_H32). % 1.48/1.62 (* end of lemma zenon_L1349_ *) % 1.48/1.62 assert (zenon_L1350_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4a zenon_H38 zenon_H37 zenon_H1b zenon_H10 zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.62 apply (zenon_L1150_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.62 apply (zenon_L154_); trivial. % 1.48/1.62 apply (zenon_L482_); trivial. % 1.48/1.62 (* end of lemma zenon_L1350_ *) % 1.48/1.62 assert (zenon_L1351_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp24)) -> (~(hskp8)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H46 zenon_H103 zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H51 zenon_H7d. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H1b | zenon_intro zenon_H104 ]. % 1.48/1.62 apply (zenon_L1350_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H52 | zenon_intro zenon_H7e ]. % 1.48/1.62 exact (zenon_H51 zenon_H52). % 1.48/1.62 exact (zenon_H7d zenon_H7e). % 1.48/1.62 (* end of lemma zenon_L1351_ *) % 1.48/1.62 assert (zenon_L1352_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (ndr1_0) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(hskp24)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H152 zenon_H227 zenon_H80 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13e zenon_H10 zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H51 zenon_H7d zenon_H103 zenon_H4d. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1349_); trivial. % 1.48/1.62 apply (zenon_L1351_); trivial. % 1.48/1.62 apply (zenon_L898_); trivial. % 1.48/1.62 (* end of lemma zenon_L1352_ *) % 1.48/1.62 assert (zenon_L1353_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H46 zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2d zenon_H2b zenon_H2f zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.62 apply (zenon_L1150_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ]. % 1.48/1.62 apply (zenon_L154_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.48/1.62 exact (zenon_H2b zenon_H2c). % 1.48/1.62 exact (zenon_H2d zenon_H2e). % 1.48/1.62 apply (zenon_L482_); trivial. % 1.48/1.62 (* end of lemma zenon_L1353_ *) % 1.48/1.62 assert (zenon_L1354_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_H2da zenon_H33 zenon_H2ce zenon_H2cd zenon_H26 zenon_H1c zenon_H1e zenon_H3 zenon_H190 zenon_H9 zenon_H93. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1154_); trivial. % 1.48/1.62 apply (zenon_L1353_); trivial. % 1.48/1.62 (* end of lemma zenon_L1354_ *) % 1.48/1.62 assert (zenon_L1355_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(hskp24)) -> (~(c0_1 (a432))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H4d zenon_H103 zenon_H7d zenon_H51 zenon_H2da zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H13c zenon_H26 zenon_H1e zenon_H1c zenon_H2ce zenon_H2cd zenon_H33. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1149_); trivial. % 1.48/1.62 apply (zenon_L1351_); trivial. % 1.48/1.62 (* end of lemma zenon_L1355_ *) % 1.48/1.62 assert (zenon_L1356_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_H2da zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H13c zenon_H26 zenon_H1e zenon_H1c zenon_H2ce zenon_H2cd zenon_H33. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1149_); trivial. % 1.48/1.62 apply (zenon_L1353_); trivial. % 1.48/1.62 (* end of lemma zenon_L1356_ *) % 1.48/1.62 assert (zenon_L1357_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_H7d zenon_H33 zenon_H2cd zenon_H2ce zenon_H1c zenon_H1e zenon_H26 zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_L1356_); trivial. % 1.48/1.62 apply (zenon_L129_); trivial. % 1.48/1.62 (* end of lemma zenon_L1357_ *) % 1.48/1.62 assert (zenon_L1358_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a432))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H184 zenon_H50 zenon_H88 zenon_H2f zenon_H2d zenon_H2b zenon_H4d zenon_H103 zenon_H7d zenon_H2da zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H13e zenon_H2ce zenon_H2cd zenon_H33 zenon_H80 zenon_H227 zenon_H152 zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.62 apply (zenon_L7_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_L1355_); trivial. % 1.48/1.62 apply (zenon_L898_); trivial. % 1.48/1.62 apply (zenon_L1357_); trivial. % 1.48/1.62 (* end of lemma zenon_L1358_ *) % 1.48/1.62 assert (zenon_L1359_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H1b7 zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.62 apply (zenon_L1150_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.62 apply (zenon_L57_); trivial. % 1.48/1.62 apply (zenon_L482_); trivial. % 1.48/1.62 (* end of lemma zenon_L1359_ *) % 1.48/1.62 assert (zenon_L1360_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H4d zenon_H103 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H185 zenon_H182 zenon_H2da zenon_H2cd zenon_H2ce zenon_H62 zenon_H60 zenon_H174 zenon_H175 zenon_H176 zenon_H2e0 zenon_H80 zenon_H7d zenon_H13e zenon_H33 zenon_H85 zenon_H142 zenon_H19b zenon_H152 zenon_H99 zenon_H9b zenon_H9f. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L45_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1294_); trivial. % 1.48/1.62 apply (zenon_L1351_); trivial. % 1.48/1.62 apply (zenon_L125_); trivial. % 1.48/1.62 apply (zenon_L506_); trivial. % 1.48/1.62 (* end of lemma zenon_L1360_ *) % 1.48/1.62 assert (zenon_L1361_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(hskp24)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H152 zenon_H19b zenon_H142 zenon_H80 zenon_H33 zenon_H2cd zenon_H2ce zenon_H1c zenon_H1e zenon_H26 zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H51 zenon_H7d zenon_H103 zenon_H4d. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_L1355_); trivial. % 1.48/1.62 apply (zenon_L125_); trivial. % 1.48/1.62 (* end of lemma zenon_L1361_ *) % 1.48/1.62 assert (zenon_L1362_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp15)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a432))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H4c zenon_H88 zenon_H153 zenon_H140 zenon_H174 zenon_H175 zenon_H176 zenon_H4d zenon_H103 zenon_H7d zenon_H2da zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H12 zenon_H13 zenon_H14 zenon_H13e zenon_H2ce zenon_H2cd zenon_H33 zenon_H80 zenon_H142 zenon_H19b zenon_H152. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_L1361_); trivial. % 1.48/1.62 apply (zenon_L146_); trivial. % 1.48/1.62 (* end of lemma zenon_L1362_ *) % 1.48/1.62 assert (zenon_L1363_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp15)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a432))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H184 zenon_H50 zenon_H88 zenon_H153 zenon_H140 zenon_H174 zenon_H175 zenon_H176 zenon_H4d zenon_H103 zenon_H7d zenon_H2da zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H13e zenon_H2ce zenon_H2cd zenon_H33 zenon_H80 zenon_H142 zenon_H19b zenon_H152 zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.62 apply (zenon_L7_); trivial. % 1.48/1.62 apply (zenon_L1362_); trivial. % 1.48/1.62 (* end of lemma zenon_L1363_ *) % 1.48/1.62 assert (zenon_L1364_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp28)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(hskp19)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H31 zenon_H155 zenon_H156 zenon_H190 zenon_H26 zenon_H1e zenon_H1c zenon_H3 zenon_H33 zenon_H10 zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.62 apply (zenon_L1150_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.62 apply (zenon_L116_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.62 apply (zenon_L99_); trivial. % 1.48/1.62 exact (zenon_H31 zenon_H32). % 1.48/1.62 apply (zenon_L482_); trivial. % 1.48/1.62 (* end of lemma zenon_L1364_ *) % 1.48/1.62 assert (zenon_L1365_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H184 zenon_H88 zenon_H4d zenon_H103 zenon_H2da zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H13e zenon_H2ce zenon_H2cd zenon_H33 zenon_H182 zenon_H185 zenon_H85 zenon_H142 zenon_H19b zenon_H152. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.62 apply (zenon_L29_); trivial. % 1.48/1.62 apply (zenon_L1293_); trivial. % 1.48/1.62 apply (zenon_L1351_); trivial. % 1.48/1.62 apply (zenon_L125_); trivial. % 1.48/1.62 apply (zenon_L506_); trivial. % 1.48/1.62 (* end of lemma zenon_L1365_ *) % 1.48/1.62 assert (zenon_L1366_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a432))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H80 zenon_H2f zenon_H2d zenon_H2b zenon_H4d zenon_H103 zenon_H7d zenon_H2da zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H13e zenon_H2ce zenon_H2cd zenon_H33 zenon_Hba zenon_H1ca zenon_H152 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.62 apply (zenon_L4_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.62 apply (zenon_L7_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L185_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_L1355_); trivial. % 1.48/1.62 apply (zenon_L640_); trivial. % 1.48/1.62 apply (zenon_L1357_); trivial. % 1.48/1.62 (* end of lemma zenon_L1366_ *) % 1.48/1.62 assert (zenon_L1367_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H84 zenon_H152 zenon_H85 zenon_H33 zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1157_); trivial. % 1.48/1.62 apply (zenon_L1353_); trivial. % 1.48/1.62 apply (zenon_L129_); trivial. % 1.48/1.62 (* end of lemma zenon_L1367_ *) % 1.48/1.62 assert (zenon_L1368_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H152 zenon_H85 zenon_H33 zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_H13e zenon_H60 zenon_H62 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_He7 zenon_H99 zenon_H9b zenon_H9f. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L45_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_L173_); trivial. % 1.48/1.62 apply (zenon_L1367_); trivial. % 1.48/1.62 (* end of lemma zenon_L1368_ *) % 1.48/1.62 assert (zenon_L1369_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H50 zenon_Hf1 zenon_H88 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_H2da zenon_H33 zenon_H2ce zenon_H2cd zenon_H3 zenon_H190 zenon_H93 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.62 apply (zenon_L7_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L175_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_L84_); trivial. % 1.48/1.62 apply (zenon_L1354_); trivial. % 1.48/1.62 (* end of lemma zenon_L1369_ *) % 1.48/1.62 assert (zenon_L1370_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.62 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H152 zenon_H85 zenon_H33 zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_H13e zenon_H14 zenon_H13 zenon_H12 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.62 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.62 apply (zenon_L84_); trivial. % 1.48/1.62 apply (zenon_L1367_); trivial. % 1.48/1.62 (* end of lemma zenon_L1370_ *) % 1.48/1.62 assert (zenon_L1371_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H152 zenon_H85 zenon_H33 zenon_H2cd zenon_H2ce zenon_H80 zenon_H7d zenon_H13e zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d zenon_H11f zenon_H115 zenon_H116 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.62 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.62 apply (zenon_L185_); trivial. % 1.48/1.62 apply (zenon_L1370_); trivial. % 1.48/1.62 (* end of lemma zenon_L1371_ *) % 1.48/1.62 assert (zenon_L1372_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H50 zenon_H4d zenon_H2b zenon_H2d zenon_H2f zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H3 zenon_H190 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.62 apply (zenon_L7_); trivial. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1364_); trivial. % 1.48/1.62 apply (zenon_L1353_); trivial. % 1.48/1.62 (* end of lemma zenon_L1372_ *) % 1.48/1.62 assert (zenon_L1373_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp28)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H31 zenon_H155 zenon_H156 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H10 zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.62 apply (zenon_L1150_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.62 apply (zenon_L9_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.62 apply (zenon_L99_); trivial. % 1.48/1.62 exact (zenon_H31 zenon_H32). % 1.48/1.62 apply (zenon_L482_); trivial. % 1.48/1.62 (* end of lemma zenon_L1373_ *) % 1.48/1.62 assert (zenon_L1374_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp14)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp13)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H1 zenon_H174 zenon_H175 zenon_H176 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51 zenon_H1ca zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H5. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.62 apply (zenon_L187_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.62 apply (zenon_L1350_); trivial. % 1.48/1.62 exact (zenon_H5 zenon_H6). % 1.48/1.62 (* end of lemma zenon_L1374_ *) % 1.48/1.62 assert (zenon_L1375_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp13)) -> False). % 1.48/1.62 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H65 zenon_H66 zenon_H67 zenon_H80 zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H5. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.62 apply (zenon_L118_); trivial. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.62 apply (zenon_L1350_); trivial. % 1.48/1.62 exact (zenon_H5 zenon_H6). % 1.48/1.62 (* end of lemma zenon_L1375_ *) % 1.48/1.62 assert (zenon_L1376_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> False). % 1.48/1.62 do 0 intro. intros zenon_H84 zenon_H4d zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H14 zenon_H13 zenon_H12 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.62 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.62 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.62 apply (zenon_L1373_); trivial. % 1.48/1.62 apply (zenon_L1375_); trivial. % 1.48/1.62 (* end of lemma zenon_L1376_ *) % 1.48/1.62 assert (zenon_L1377_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_H88 zenon_H7d zenon_H80 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H155 zenon_H156 zenon_H33 zenon_H2ce zenon_H2cd zenon_H2da zenon_H1ca zenon_H176 zenon_H175 zenon_H174 zenon_H1ba zenon_H1bb zenon_H1bc zenon_Hba zenon_H1ce zenon_H4d zenon_H99 zenon_H9b zenon_H9f zenon_H1 zenon_H5 zenon_H7. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L4_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.63 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.63 apply (zenon_L45_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L1373_); trivial. % 1.48/1.63 apply (zenon_L1374_); trivial. % 1.48/1.63 apply (zenon_L1376_); trivial. % 1.48/1.63 (* end of lemma zenon_L1377_ *) % 1.48/1.63 assert (zenon_L1378_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.63 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H14 zenon_H13 zenon_H12 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_L84_); trivial. % 1.48/1.63 apply (zenon_L1376_); trivial. % 1.48/1.63 (* end of lemma zenon_L1378_ *) % 1.48/1.63 assert (zenon_L1379_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H4d zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H11f zenon_H115 zenon_H116 zenon_Hba zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.63 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.63 apply (zenon_L185_); trivial. % 1.48/1.63 apply (zenon_L1378_); trivial. % 1.48/1.63 (* end of lemma zenon_L1379_ *) % 1.48/1.63 assert (zenon_L1380_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H184 zenon_H4d zenon_H2b zenon_H2d zenon_H2f zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L1373_); trivial. % 1.48/1.63 apply (zenon_L1353_); trivial. % 1.48/1.63 (* end of lemma zenon_L1380_ *) % 1.48/1.63 assert (zenon_L1381_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c0_1 (a432))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H1b6 zenon_H189 zenon_H50 zenon_H152 zenon_H1ca zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13e zenon_H2da zenon_H2f zenon_H2d zenon_H2b zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d zenon_H9 zenon_Hd zenon_H7 zenon_H85 zenon_H1a3 zenon_H62 zenon_He7 zenon_H1c8 zenon_Hba zenon_H93 zenon_H88 zenon_Hf1 zenon_H16b zenon_H98 zenon_H168. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L4_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.63 apply (zenon_L7_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.63 apply (zenon_L1356_); trivial. % 1.48/1.63 apply (zenon_L442_); trivial. % 1.48/1.63 apply (zenon_L234_); trivial. % 1.48/1.63 apply (zenon_L1359_); trivial. % 1.48/1.63 (* end of lemma zenon_L1381_ *) % 1.48/1.63 assert (zenon_L1382_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_Hec zenon_He9 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ca zenon_H85 zenon_H1a3 zenon_H62 zenon_He7 zenon_Hd zenon_H9 zenon_H1c8 zenon_Hba zenon_H93 zenon_H88 zenon_Hf1 zenon_H50 zenon_H16b zenon_H98 zenon_H168. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.63 apply (zenon_L259_); trivial. % 1.48/1.63 apply (zenon_L234_); trivial. % 1.48/1.63 apply (zenon_L1359_); trivial. % 1.48/1.63 (* end of lemma zenon_L1382_ *) % 1.48/1.63 assert (zenon_L1383_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H184 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L297_); trivial. % 1.48/1.63 apply (zenon_L1353_); trivial. % 1.48/1.63 (* end of lemma zenon_L1383_ *) % 1.48/1.63 assert (zenon_L1384_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H189 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1 zenon_H5 zenon_H7. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L4_); trivial. % 1.48/1.63 apply (zenon_L1383_); trivial. % 1.48/1.63 (* end of lemma zenon_L1384_ *) % 1.48/1.63 assert (zenon_L1385_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H184 zenon_H88 zenon_H2f zenon_H2d zenon_H2b zenon_H4d zenon_H103 zenon_H2da zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H33 zenon_H2cd zenon_H2ce zenon_H13e zenon_H7d zenon_H80 zenon_H85 zenon_H142 zenon_H19b zenon_H152. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L1267_); trivial. % 1.48/1.63 apply (zenon_L1351_); trivial. % 1.48/1.63 apply (zenon_L125_); trivial. % 1.48/1.63 apply (zenon_L1367_); trivial. % 1.48/1.63 (* end of lemma zenon_L1385_ *) % 1.48/1.63 assert (zenon_L1386_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp3)) -> (~(hskp12)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H189 zenon_H88 zenon_H103 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H13e zenon_H7d zenon_H80 zenon_H85 zenon_H142 zenon_H19b zenon_H152 zenon_Hd zenon_H5 zenon_H9 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2f zenon_H2d zenon_H2b zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d zenon_H50. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.63 apply (zenon_L7_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L309_); trivial. % 1.48/1.63 apply (zenon_L1353_); trivial. % 1.48/1.63 apply (zenon_L1385_); trivial. % 1.48/1.63 (* end of lemma zenon_L1386_ *) % 1.48/1.63 assert (zenon_L1387_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H165 zenon_H98 zenon_H185 zenon_H182 zenon_H50 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H190 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_H5 zenon_Hd zenon_H152 zenon_H19b zenon_H142 zenon_H85 zenon_H80 zenon_H7d zenon_H13e zenon_H62 zenon_H103 zenon_H88 zenon_H189. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.63 apply (zenon_L1386_); trivial. % 1.48/1.63 apply (zenon_L132_); trivial. % 1.48/1.63 (* end of lemma zenon_L1387_ *) % 1.48/1.63 assert (zenon_L1388_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H84 zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L309_); trivial. % 1.48/1.63 apply (zenon_L1375_); trivial. % 1.48/1.63 (* end of lemma zenon_L1388_ *) % 1.48/1.63 assert (zenon_L1389_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H50 zenon_H88 zenon_H1ce zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H3 zenon_H190 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H7d zenon_H103 zenon_H4d zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.63 apply (zenon_L7_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L309_); trivial. % 1.48/1.63 apply (zenon_L1351_); trivial. % 1.48/1.63 apply (zenon_L1388_); trivial. % 1.48/1.63 (* end of lemma zenon_L1389_ *) % 1.48/1.63 assert (zenon_L1390_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H50 zenon_Hf1 zenon_H88 zenon_H4d zenon_H1ce zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H190 zenon_H3 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.63 apply (zenon_L7_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.63 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.63 apply (zenon_L175_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_L84_); trivial. % 1.48/1.63 apply (zenon_L1388_); trivial. % 1.48/1.63 (* end of lemma zenon_L1390_ *) % 1.48/1.63 assert (zenon_L1391_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H84 zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L297_); trivial. % 1.48/1.63 apply (zenon_L1375_); trivial. % 1.48/1.63 (* end of lemma zenon_L1391_ *) % 1.48/1.63 assert (zenon_L1392_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.63 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_L84_); trivial. % 1.48/1.63 apply (zenon_L1391_); trivial. % 1.48/1.63 (* end of lemma zenon_L1392_ *) % 1.48/1.63 assert (zenon_L1393_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.63 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.63 apply (zenon_L175_); trivial. % 1.48/1.63 apply (zenon_L1392_); trivial. % 1.48/1.63 (* end of lemma zenon_L1393_ *) % 1.48/1.63 assert (zenon_L1394_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H132 zenon_H189 zenon_Hd zenon_H5 zenon_H9 zenon_H1c8 zenon_Hba zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H1ce zenon_H4d zenon_H88 zenon_Hf1 zenon_H50. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L1390_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.63 apply (zenon_L7_); trivial. % 1.48/1.63 apply (zenon_L1393_); trivial. % 1.48/1.63 (* end of lemma zenon_L1394_ *) % 1.48/1.63 assert (zenon_L1395_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_Hf1 zenon_H93 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_He7 zenon_H227 zenon_H1c8 zenon_H1ce zenon_H50 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H190 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_H5 zenon_Hd zenon_H152 zenon_H19b zenon_H142 zenon_H85 zenon_H80 zenon_H7d zenon_H13e zenon_H62 zenon_H103 zenon_H88 zenon_H189. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.63 apply (zenon_L1386_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L314_); trivial. % 1.48/1.63 apply (zenon_L1383_); trivial. % 1.48/1.63 apply (zenon_L178_); trivial. % 1.48/1.63 (* end of lemma zenon_L1395_ *) % 1.48/1.63 assert (zenon_L1396_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp15)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H189 zenon_H153 zenon_H140 zenon_H13e zenon_H142 zenon_H19b zenon_H152 zenon_Hd zenon_H5 zenon_H9 zenon_H4d zenon_H103 zenon_H7d zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H190 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H80 zenon_H176 zenon_H175 zenon_H174 zenon_H1ce zenon_H88 zenon_H50. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L1389_); trivial. % 1.48/1.63 apply (zenon_L1363_); trivial. % 1.48/1.63 (* end of lemma zenon_L1396_ *) % 1.48/1.63 assert (zenon_L1397_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> False). % 1.48/1.63 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H14 zenon_H13 zenon_H12 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_L173_); trivial. % 1.48/1.63 apply (zenon_L1376_); trivial. % 1.48/1.63 (* end of lemma zenon_L1397_ *) % 1.48/1.63 assert (zenon_L1398_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H165 zenon_H98 zenon_H50 zenon_H88 zenon_H1ce zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H7d zenon_H103 zenon_H4d zenon_H9 zenon_H5 zenon_Hd zenon_H152 zenon_H19b zenon_H142 zenon_H85 zenon_H185 zenon_H182 zenon_H13e zenon_H62 zenon_H189. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L1389_); trivial. % 1.48/1.63 apply (zenon_L1365_); trivial. % 1.48/1.63 apply (zenon_L132_); trivial. % 1.48/1.63 (* end of lemma zenon_L1398_ *) % 1.48/1.63 assert (zenon_L1399_ : ((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H29b zenon_H4d zenon_H227 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H47 zenon_H5 zenon_H1ce zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H26 zenon_H1e zenon_H1c zenon_H299. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L871_); trivial. % 1.48/1.63 apply (zenon_L299_); trivial. % 1.48/1.63 (* end of lemma zenon_L1399_ *) % 1.48/1.63 assert (zenon_L1400_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(hskp8)) -> False). % 1.48/1.63 do 0 intro. intros zenon_H80 zenon_Hcd zenon_Hd0 zenon_Hcf zenon_H37 zenon_H38 zenon_H4a zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H176 zenon_H175 zenon_H174 zenon_H10 zenon_Hde zenon_H7d. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H64 | zenon_intro zenon_H83 ]. % 1.48/1.63 apply (zenon_L270_); trivial. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H6e | zenon_intro zenon_H7e ]. % 1.48/1.63 apply (zenon_L107_); trivial. % 1.48/1.63 exact (zenon_H7d zenon_H7e). % 1.48/1.63 (* end of lemma zenon_L1400_ *) % 1.48/1.63 assert (zenon_L1401_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp8)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp13)) -> False). % 1.48/1.63 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H7d zenon_H174 zenon_H175 zenon_H176 zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_Hdc zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H80 zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H5. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.63 apply (zenon_L1400_); trivial. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.63 apply (zenon_L1350_); trivial. % 1.48/1.63 exact (zenon_H5 zenon_H6). % 1.48/1.63 (* end of lemma zenon_L1401_ *) % 1.48/1.63 assert (zenon_L1402_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.63 do 0 intro. intros zenon_Hed zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H1ad zenon_H7d zenon_Hdc zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L309_); trivial. % 1.48/1.63 apply (zenon_L1401_); trivial. % 1.48/1.63 (* end of lemma zenon_L1402_ *) % 1.48/1.63 assert (zenon_L1403_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> (ndr1_0) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_Heb zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H1ad zenon_H7d zenon_Hdc zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H4d zenon_H1c8 zenon_H9d zenon_H28b zenon_H190 zenon_H3 zenon_H1e zenon_H1c zenon_H26 zenon_H10 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H299 zenon_H1ce zenon_H5 zenon_H47 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H227 zenon_H29e. % 1.48/1.63 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.48/1.63 apply (zenon_L869_); trivial. % 1.48/1.63 apply (zenon_L1399_); trivial. % 1.48/1.63 apply (zenon_L1402_); trivial. % 1.48/1.63 (* end of lemma zenon_L1403_ *) % 1.48/1.63 assert (zenon_L1404_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp13)) -> False). % 1.48/1.63 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H5. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.63 apply (zenon_L208_); trivial. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.63 apply (zenon_L1350_); trivial. % 1.48/1.63 exact (zenon_H5 zenon_H6). % 1.48/1.63 (* end of lemma zenon_L1404_ *) % 1.48/1.63 assert (zenon_L1405_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H184 zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L297_); trivial. % 1.48/1.63 apply (zenon_L1404_); trivial. % 1.48/1.63 (* end of lemma zenon_L1405_ *) % 1.48/1.63 assert (zenon_L1406_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H132 zenon_H189 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hd zenon_H5 zenon_H9 zenon_H1c8 zenon_Hba zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H190 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H1ce zenon_H4d zenon_H88 zenon_Hf1 zenon_H50. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L1390_); trivial. % 1.48/1.63 apply (zenon_L1405_); trivial. % 1.48/1.63 (* end of lemma zenon_L1406_ *) % 1.48/1.63 assert (zenon_L1407_ : ((ndr1_0)/\((~(c0_1 (a445)))/\((~(c1_1 (a445)))/\(~(c3_1 (a445)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/(hskp2))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H212 zenon_H1f2 zenon_H1b6 zenon_H189 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2d zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7 zenon_H1ed zenon_H168 zenon_H16b zenon_H1eb zenon_H9f zenon_Hec zenon_He9 zenon_H2e0 zenon_Hf1 zenon_H1d0. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.63 apply (zenon_L1384_); trivial. % 1.48/1.63 apply (zenon_L226_); trivial. % 1.48/1.63 apply (zenon_L1359_); trivial. % 1.48/1.63 apply (zenon_L1314_); trivial. % 1.48/1.63 apply (zenon_L227_); trivial. % 1.48/1.63 (* end of lemma zenon_L1407_ *) % 1.48/1.63 assert (zenon_L1408_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2b zenon_H2f zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L352_); trivial. % 1.48/1.63 apply (zenon_L1353_); trivial. % 1.48/1.63 (* end of lemma zenon_L1408_ *) % 1.48/1.63 assert (zenon_L1409_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp24)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp13)) -> False). % 1.48/1.63 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H7d zenon_H51 zenon_H8a zenon_H8b zenon_H8c zenon_H103 zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H5. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.63 apply (zenon_L127_); trivial. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.63 apply (zenon_L1350_); trivial. % 1.48/1.63 exact (zenon_H5 zenon_H6). % 1.48/1.63 (* end of lemma zenon_L1409_ *) % 1.48/1.63 assert (zenon_L1410_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H84 zenon_H152 zenon_H80 zenon_H7d zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.63 apply (zenon_L355_); trivial. % 1.48/1.63 apply (zenon_L129_); trivial. % 1.48/1.63 (* end of lemma zenon_L1410_ *) % 1.48/1.63 assert (zenon_L1411_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H88 zenon_H152 zenon_H80 zenon_H13e zenon_H267 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H103 zenon_H7d zenon_H8c zenon_H8b zenon_H8a zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L352_); trivial. % 1.48/1.63 apply (zenon_L1409_); trivial. % 1.48/1.63 apply (zenon_L1410_); trivial. % 1.48/1.63 (* end of lemma zenon_L1411_ *) % 1.48/1.63 assert (zenon_L1412_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H95 zenon_H189 zenon_H182 zenon_H185 zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H7d zenon_H103 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202 zenon_H267 zenon_H13e zenon_H80 zenon_H152 zenon_H88. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.63 apply (zenon_L1411_); trivial. % 1.48/1.63 apply (zenon_L130_); trivial. % 1.48/1.63 (* end of lemma zenon_L1412_ *) % 1.48/1.63 assert (zenon_L1413_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> (~(hskp15)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H88 zenon_H153 zenon_H142 zenon_H140 zenon_H174 zenon_H175 zenon_H176 zenon_H80 zenon_H128 zenon_H126 zenon_H9d zenon_H10 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H7d zenon_H103 zenon_H4d. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L383_); trivial. % 1.48/1.63 apply (zenon_L1351_); trivial. % 1.48/1.63 apply (zenon_L146_); trivial. % 1.48/1.63 (* end of lemma zenon_L1413_ *) % 1.48/1.63 assert (zenon_L1414_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H84 zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H202 zenon_H2d zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H130. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L527_); trivial. % 1.48/1.63 apply (zenon_L1375_); trivial. % 1.48/1.63 (* end of lemma zenon_L1414_ *) % 1.48/1.63 assert (zenon_L1415_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_Hf1 zenon_H1ce zenon_H5 zenon_H202 zenon_H2d zenon_H130 zenon_Hba zenon_H253 zenon_H4d zenon_H103 zenon_H7d zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H10 zenon_H126 zenon_H128 zenon_H80 zenon_H176 zenon_H175 zenon_H174 zenon_H140 zenon_H142 zenon_H153 zenon_H88. % 1.48/1.63 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.63 apply (zenon_L1413_); trivial. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L388_); trivial. % 1.48/1.63 apply (zenon_L1351_); trivial. % 1.48/1.63 apply (zenon_L1414_); trivial. % 1.48/1.63 (* end of lemma zenon_L1415_ *) % 1.48/1.63 assert (zenon_L1416_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.63 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.63 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.63 apply (zenon_L84_); trivial. % 1.48/1.63 apply (zenon_L1414_); trivial. % 1.48/1.63 (* end of lemma zenon_L1416_ *) % 1.48/1.63 assert (zenon_L1417_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a442)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp15)) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_Hf1 zenon_H1ce zenon_H5 zenon_H202 zenon_H2d zenon_H253 zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba zenon_H4d zenon_H103 zenon_H7d zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H10 zenon_H126 zenon_H128 zenon_H80 zenon_H176 zenon_H175 zenon_H174 zenon_H140 zenon_H142 zenon_H153 zenon_H88. % 1.48/1.63 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.63 apply (zenon_L1413_); trivial. % 1.48/1.63 apply (zenon_L1416_); trivial. % 1.48/1.63 (* end of lemma zenon_L1417_ *) % 1.48/1.63 assert (zenon_L1418_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp22)) -> (~(hskp21)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp13)) -> False). % 1.48/1.63 do 0 intro. intros zenon_H46 zenon_H1ce zenon_Hbe zenon_Hbc zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H5. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.63 apply (zenon_L135_); trivial. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.63 apply (zenon_L1350_); trivial. % 1.48/1.63 exact (zenon_H5 zenon_H6). % 1.48/1.63 (* end of lemma zenon_L1418_ *) % 1.48/1.63 assert (zenon_L1419_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (ndr1_0) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H10 zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H14 zenon_H13 zenon_H12 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L1373_); trivial. % 1.48/1.63 apply (zenon_L1418_); trivial. % 1.48/1.63 (* end of lemma zenon_L1419_ *) % 1.48/1.63 assert (zenon_L1420_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c3_1 (a474))) -> (c0_1 (a474)) -> (c1_1 (a474)) -> (~(c1_1 (a454))) -> (c3_1 (a454)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.63 do 0 intro. intros zenon_H46 zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H108 zenon_H109 zenon_H10a zenon_H155 zenon_H156 zenon_H1ad zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.63 apply (zenon_L1150_); trivial. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.63 apply (zenon_L99_); trivial. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.63 apply (zenon_L76_); trivial. % 1.48/1.63 apply (zenon_L154_); trivial. % 1.48/1.63 apply (zenon_L482_); trivial. % 1.48/1.63 (* end of lemma zenon_L1420_ *) % 1.48/1.63 assert (zenon_L1421_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> False). % 1.48/1.63 do 0 intro. intros zenon_H111 zenon_H4d zenon_H1ad zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H14 zenon_H13 zenon_H12 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.48/1.63 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.48/1.63 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.63 apply (zenon_L1373_); trivial. % 1.48/1.63 apply (zenon_L1420_); trivial. % 1.48/1.63 (* end of lemma zenon_L1421_ *) % 1.48/1.63 assert (zenon_L1422_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L352_); trivial. % 1.48/1.64 apply (zenon_L1418_); trivial. % 1.48/1.64 (* end of lemma zenon_L1422_ *) % 1.48/1.64 assert (zenon_L1423_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp21)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H16a zenon_H210 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_Hc0 zenon_Hbc zenon_H176 zenon_H175 zenon_H174 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.64 apply (zenon_L1422_); trivial. % 1.48/1.64 apply (zenon_L396_); trivial. % 1.48/1.64 (* end of lemma zenon_L1423_ *) % 1.48/1.64 assert (zenon_L1424_ : ((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(hskp12)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H16d zenon_H189 zenon_H33 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2f zenon_H2b zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L1408_); trivial. % 1.48/1.64 apply (zenon_L1380_); trivial. % 1.48/1.64 (* end of lemma zenon_L1424_ *) % 1.48/1.64 assert (zenon_L1425_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H132 zenon_H189 zenon_H33 zenon_H156 zenon_H155 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_Hba zenon_H130 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H80 zenon_H7d zenon_H176 zenon_H175 zenon_H174 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H5 zenon_H1ce zenon_H4d zenon_H88 zenon_Hf1. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L185_); trivial. % 1.48/1.64 apply (zenon_L1416_); trivial. % 1.48/1.64 apply (zenon_L1379_); trivial. % 1.48/1.64 (* end of lemma zenon_L1425_ *) % 1.48/1.64 assert (zenon_L1426_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp17)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H4d zenon_H1ce zenon_H5 zenon_H174 zenon_H175 zenon_H176 zenon_H7d zenon_H80 zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_Hba zenon_H55 zenon_H56 zenon_H57 zenon_H99 zenon_He7 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L185_); trivial. % 1.48/1.64 apply (zenon_L1397_); trivial. % 1.48/1.64 (* end of lemma zenon_L1426_ *) % 1.48/1.64 assert (zenon_L1427_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L352_); trivial. % 1.48/1.64 apply (zenon_L1404_); trivial. % 1.48/1.64 (* end of lemma zenon_L1427_ *) % 1.48/1.64 assert (zenon_L1428_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H184 zenon_H4d zenon_H1ce zenon_H5 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L1373_); trivial. % 1.48/1.64 apply (zenon_L1404_); trivial. % 1.48/1.64 (* end of lemma zenon_L1428_ *) % 1.48/1.64 assert (zenon_L1429_ : ((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H16d zenon_H189 zenon_H33 zenon_H202 zenon_H2d zenon_H57 zenon_H56 zenon_H55 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L1427_); trivial. % 1.48/1.64 apply (zenon_L1428_); trivial. % 1.48/1.64 (* end of lemma zenon_L1429_ *) % 1.48/1.64 assert (zenon_L1430_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp25)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a454)) -> (~(c1_1 (a454))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H8a zenon_H8b zenon_H8c zenon_H13c zenon_H13e zenon_H10 zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H156 zenon_H155 zenon_H14 zenon_H13 zenon_H12 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L1373_); trivial. % 1.48/1.64 apply (zenon_L354_); trivial. % 1.48/1.64 (* end of lemma zenon_L1430_ *) % 1.48/1.64 assert (zenon_L1431_ : ((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H16d zenon_H98 zenon_H189 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H33 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H13e zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H275 zenon_H152 zenon_H62 zenon_H57 zenon_H56 zenon_H55 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.64 apply (zenon_L232_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L433_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.64 apply (zenon_L1430_); trivial. % 1.48/1.64 apply (zenon_L432_); trivial. % 1.48/1.64 (* end of lemma zenon_L1431_ *) % 1.48/1.64 assert (zenon_L1432_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H165 zenon_H16c zenon_H189 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H33 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4d zenon_H267 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2d zenon_H202 zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_H1ce zenon_H5 zenon_H142 zenon_H153 zenon_H13e zenon_H275 zenon_H152 zenon_H98. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.64 apply (zenon_L232_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.64 apply (zenon_L522_); trivial. % 1.48/1.64 apply (zenon_L432_); trivial. % 1.48/1.64 apply (zenon_L1431_); trivial. % 1.48/1.64 (* end of lemma zenon_L1432_ *) % 1.48/1.64 assert (zenon_L1433_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp15)\/(hskp9))) -> (~(hskp9)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a454))/\((~(c0_1 (a454)))/\(~(c1_1 (a454))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_Hec zenon_He9 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ca zenon_H98 zenon_H152 zenon_H275 zenon_H13e zenon_H153 zenon_H142 zenon_H1ce zenon_H62 zenon_H1a3 zenon_H85 zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H267 zenon_H4d zenon_H2da zenon_H2cd zenon_H2ce zenon_H33 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H189 zenon_H16c zenon_H168. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.64 apply (zenon_L259_); trivial. % 1.48/1.64 apply (zenon_L1432_); trivial. % 1.48/1.64 apply (zenon_L1359_); trivial. % 1.48/1.64 (* end of lemma zenon_L1433_ *) % 1.48/1.64 assert (zenon_L1434_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp12)\/(hskp3))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H168 zenon_H189 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H202 zenon_H2d zenon_H265 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2f zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.64 apply (zenon_L348_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L1408_); trivial. % 1.48/1.64 apply (zenon_L1383_); trivial. % 1.48/1.64 (* end of lemma zenon_L1434_ *) % 1.48/1.64 assert (zenon_L1435_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(hskp21)) -> (~(hskp22)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_Hbc zenon_Hbe zenon_Hc0 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L297_); trivial. % 1.48/1.64 apply (zenon_L1418_); trivial. % 1.48/1.64 (* end of lemma zenon_L1435_ *) % 1.48/1.64 assert (zenon_L1436_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c3_1 (a474))) -> (c0_1 (a474)) -> (c1_1 (a474)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H46 zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H108 zenon_H109 zenon_H10a zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.48/1.64 apply (zenon_L268_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.48/1.64 apply (zenon_L76_); trivial. % 1.48/1.64 apply (zenon_L154_); trivial. % 1.48/1.64 apply (zenon_L482_); trivial. % 1.48/1.64 (* end of lemma zenon_L1436_ *) % 1.48/1.64 assert (zenon_L1437_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H111 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L297_); trivial. % 1.48/1.64 apply (zenon_L1436_); trivial. % 1.48/1.64 (* end of lemma zenon_L1437_ *) % 1.48/1.64 assert (zenon_L1438_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H189 zenon_H169 zenon_H1ad zenon_H4d zenon_H1ce zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9f zenon_H9b zenon_H99 zenon_H210 zenon_H252 zenon_H254 zenon_H253 zenon_Hba zenon_H80 zenon_H7d zenon_H88 zenon_Hf1 zenon_H16a zenon_H1 zenon_H5 zenon_H7. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L4_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.64 apply (zenon_L1435_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L45_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.64 apply (zenon_L414_); trivial. % 1.48/1.64 apply (zenon_L1391_); trivial. % 1.48/1.64 apply (zenon_L1437_); trivial. % 1.48/1.64 (* end of lemma zenon_L1438_ *) % 1.48/1.64 assert (zenon_L1439_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp20)) -> (forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (ndr1_0) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp13)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H1ce zenon_Hb zenon_H20c zenon_H252 zenon_H254 zenon_H253 zenon_H174 zenon_H175 zenon_H176 zenon_H271 zenon_H27e zenon_H27d zenon_H27c zenon_H10 zenon_H37 zenon_H38 zenon_H4a zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H5. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H6e | zenon_intro zenon_H272 ]. % 1.48/1.64 apply (zenon_L107_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hc ]. % 1.48/1.64 apply (zenon_L350_); trivial. % 1.48/1.64 exact (zenon_Hb zenon_Hc). % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.64 apply (zenon_L1350_); trivial. % 1.48/1.64 exact (zenon_H5 zenon_H6). % 1.48/1.64 (* end of lemma zenon_L1439_ *) % 1.48/1.64 assert (zenon_L1440_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H169 zenon_H1ad zenon_H4d zenon_H1ce zenon_H5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H174 zenon_H175 zenon_H176 zenon_Hc0 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H252 zenon_H254 zenon_H253 zenon_Hb zenon_H271 zenon_H210 zenon_H16a. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.64 apply (zenon_L1435_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L297_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H211 ]. % 1.48/1.64 apply (zenon_L65_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1af | zenon_intro zenon_H20c ]. % 1.48/1.64 apply (zenon_L166_); trivial. % 1.48/1.64 apply (zenon_L1439_); trivial. % 1.48/1.64 apply (zenon_L1437_); trivial. % 1.48/1.64 (* end of lemma zenon_L1440_ *) % 1.48/1.64 assert (zenon_L1441_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H111 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H55 zenon_H56 zenon_H57 zenon_H2d zenon_H202. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L352_); trivial. % 1.48/1.64 apply (zenon_L1436_); trivial. % 1.48/1.64 (* end of lemma zenon_L1441_ *) % 1.48/1.64 assert (zenon_L1442_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H165 zenon_H189 zenon_H33 zenon_H16a zenon_H210 zenon_H202 zenon_H2d zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_Hc0 zenon_H176 zenon_H175 zenon_H174 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H5 zenon_H1ce zenon_H4d zenon_H1ad zenon_H218 zenon_H217 zenon_H216 zenon_H169. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.64 apply (zenon_L1423_); trivial. % 1.48/1.64 apply (zenon_L1441_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.64 apply (zenon_L1435_); trivial. % 1.48/1.64 apply (zenon_L396_); trivial. % 1.48/1.64 apply (zenon_L1437_); trivial. % 1.48/1.64 (* end of lemma zenon_L1442_ *) % 1.48/1.64 assert (zenon_L1443_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp14)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp13)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H1 zenon_H174 zenon_H175 zenon_H176 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ca zenon_H27e zenon_H27d zenon_H27c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H5. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.64 apply (zenon_L258_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.64 apply (zenon_L1350_); trivial. % 1.48/1.64 exact (zenon_H5 zenon_H6). % 1.48/1.64 (* end of lemma zenon_L1443_ *) % 1.48/1.64 assert (zenon_L1444_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (c0_1 (a437)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (c3_1 (a437)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hb3 zenon_Hde zenon_Hb1 zenon_H10 zenon_H37 zenon_H35 zenon_H38. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.48/1.64 apply (zenon_L60_); trivial. % 1.48/1.64 apply (zenon_L18_); trivial. % 1.48/1.64 (* end of lemma zenon_L1444_ *) % 1.48/1.64 assert (zenon_L1445_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H46 zenon_H185 zenon_Hb1 zenon_Hb3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H65 zenon_H66 zenon_H67 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2de zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.64 apply (zenon_L30_); trivial. % 1.48/1.64 apply (zenon_L1444_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.64 apply (zenon_L9_); trivial. % 1.48/1.64 exact (zenon_H182 zenon_H183). % 1.48/1.64 (* end of lemma zenon_L1445_ *) % 1.48/1.64 assert (zenon_L1446_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H84 zenon_H4d zenon_H185 zenon_H182 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2de zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_Hb3 zenon_Hb1 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H5 zenon_H1ce. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L573_); trivial. % 1.48/1.64 apply (zenon_L1445_); trivial. % 1.48/1.64 (* end of lemma zenon_L1446_ *) % 1.48/1.64 assert (zenon_L1447_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1b zenon_H10 zenon_H70 zenon_H71 zenon_H78. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_L32_); trivial. % 1.48/1.64 (* end of lemma zenon_L1447_ *) % 1.48/1.64 assert (zenon_L1448_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a484)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c2_1 (a484))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H2ac zenon_Hb3 zenon_Hde zenon_Hb1 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H70 zenon_H71 zenon_H78. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.48/1.64 apply (zenon_L60_); trivial. % 1.48/1.64 apply (zenon_L1447_); trivial. % 1.48/1.64 (* end of lemma zenon_L1448_ *) % 1.48/1.64 assert (zenon_L1449_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.48/1.64 do 0 intro. intros zenon_Hf2 zenon_H85 zenon_H185 zenon_H182 zenon_H1c zenon_H1e zenon_H26 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2ac zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.64 apply (zenon_L29_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.64 apply (zenon_L1448_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.64 apply (zenon_L1018_); trivial. % 1.48/1.64 exact (zenon_H182 zenon_H183). % 1.48/1.64 (* end of lemma zenon_L1449_ *) % 1.48/1.64 assert (zenon_L1450_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H85 zenon_H185 zenon_H182 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2ac zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62 zenon_H11f zenon_H115 zenon_H116 zenon_H1c8. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L175_); trivial. % 1.48/1.64 apply (zenon_L1449_); trivial. % 1.48/1.64 (* end of lemma zenon_L1450_ *) % 1.48/1.64 assert (zenon_L1451_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H14d zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a5 zenon_H2a4 zenon_H2a3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_L96_); trivial. % 1.48/1.64 (* end of lemma zenon_L1451_ *) % 1.48/1.64 assert (zenon_L1452_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H4c zenon_H152 zenon_H2e0 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H3 zenon_H182 zenon_H185. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.64 apply (zenon_L121_); trivial. % 1.48/1.64 apply (zenon_L1451_); trivial. % 1.48/1.64 (* end of lemma zenon_L1452_ *) % 1.48/1.64 assert (zenon_L1453_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H50 zenon_H152 zenon_H2e0 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H190 zenon_H3 zenon_H182 zenon_H185 zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.64 apply (zenon_L7_); trivial. % 1.48/1.64 apply (zenon_L1452_); trivial. % 1.48/1.64 (* end of lemma zenon_L1453_ *) % 1.48/1.64 assert (zenon_L1454_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H95 zenon_H189 zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_Hd zenon_H5 zenon_H9 zenon_H185 zenon_H182 zenon_H190 zenon_H13e zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2e0 zenon_H152 zenon_H50. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L1453_); trivial. % 1.48/1.64 apply (zenon_L1088_); trivial. % 1.48/1.64 (* end of lemma zenon_L1454_ *) % 1.48/1.64 assert (zenon_L1455_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H165 zenon_H98 zenon_H189 zenon_H190 zenon_H13e zenon_H152 zenon_H50 zenon_Hf1 zenon_H85 zenon_H185 zenon_H182 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2ac zenon_H62 zenon_H9b zenon_H9f zenon_H9 zenon_H5 zenon_Hd zenon_H1c8 zenon_H16b. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.64 apply (zenon_L7_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L45_); trivial. % 1.48/1.64 apply (zenon_L1449_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.64 apply (zenon_L7_); trivial. % 1.48/1.64 apply (zenon_L1450_); trivial. % 1.48/1.64 apply (zenon_L1454_); trivial. % 1.48/1.64 (* end of lemma zenon_L1455_ *) % 1.48/1.64 assert (zenon_L1456_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hc7 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_Hc5 zenon_H7d. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_L55_); trivial. % 1.48/1.64 (* end of lemma zenon_L1456_ *) % 1.48/1.64 assert (zenon_L1457_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H1b7 zenon_Heb zenon_H2de zenon_H80 zenon_Hdc zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hc7 zenon_H7d zenon_H2e0. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.64 apply (zenon_L1456_); trivial. % 1.48/1.64 apply (zenon_L1280_); trivial. % 1.48/1.64 (* end of lemma zenon_L1457_ *) % 1.48/1.64 assert (zenon_L1458_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (~(c3_1 (a484))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H4d zenon_Hba zenon_H51 zenon_Hb2 zenon_Hc5 zenon_H289 zenon_H28b zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_Hb3 zenon_Hb1 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H5 zenon_H1ce. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L573_); trivial. % 1.48/1.64 apply (zenon_L632_); trivial. % 1.48/1.64 (* end of lemma zenon_L1458_ *) % 1.48/1.64 assert (zenon_L1459_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a484))) -> (c1_1 (a484)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(c3_1 (a484))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H29e zenon_H85 zenon_H1a3 zenon_H60 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H9b zenon_H297 zenon_H1ce zenon_H5 zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hb1 zenon_Hb3 zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H14 zenon_H13 zenon_H12 zenon_H2ac zenon_H28b zenon_Hc5 zenon_Hb2 zenon_H51 zenon_Hba zenon_H4d. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.48/1.64 apply (zenon_L1458_); trivial. % 1.48/1.64 apply (zenon_L635_); trivial. % 1.48/1.64 (* end of lemma zenon_L1459_ *) % 1.48/1.64 assert (zenon_L1460_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H2ce zenon_H2cd zenon_H89 zenon_H10 zenon_H31. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.64 apply (zenon_L9_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.64 apply (zenon_L1147_); trivial. % 1.48/1.64 exact (zenon_H31 zenon_H32). % 1.48/1.64 (* end of lemma zenon_L1460_ *) % 1.48/1.64 assert (zenon_L1461_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c3_1 (a492))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H10 zenon_Hcd zenon_H64 zenon_Hd0 zenon_Hcf. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.48/1.64 apply (zenon_L1460_); trivial. % 1.48/1.64 apply (zenon_L71_); trivial. % 1.48/1.64 (* end of lemma zenon_L1461_ *) % 1.48/1.64 assert (zenon_L1462_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(hskp28)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (ndr1_0) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H130 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H2ce zenon_H2cd zenon_H31 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H10 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.48/1.64 apply (zenon_L1461_); trivial. % 1.48/1.64 apply (zenon_L184_); trivial. % 1.48/1.64 (* end of lemma zenon_L1462_ *) % 1.48/1.64 assert (zenon_L1463_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H95 zenon_H16b zenon_H126 zenon_H128 zenon_H7 zenon_H5 zenon_H1 zenon_Hd zenon_H9 zenon_H9f zenon_H9b zenon_H152 zenon_H1ca zenon_H1ba zenon_H1bb zenon_H1bc zenon_H1ce zenon_H33 zenon_H13e zenon_Hba zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1 zenon_H50 zenon_H189. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.64 apply (zenon_L643_); trivial. % 1.48/1.64 apply (zenon_L594_); trivial. % 1.48/1.64 (* end of lemma zenon_L1463_ *) % 1.48/1.64 assert (zenon_L1464_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H98 zenon_H152 zenon_H1ca zenon_H13e zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H29e zenon_H85 zenon_H1a3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H297 zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ac zenon_H28b zenon_Hba zenon_H4d zenon_H130 zenon_H2ce zenon_H2cd zenon_H2ae zenon_Heb zenon_H9b zenon_H9f zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7 zenon_H128 zenon_H126 zenon_H16b. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L4_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.64 apply (zenon_L7_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L45_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.64 apply (zenon_L1459_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L1462_); trivial. % 1.48/1.64 apply (zenon_L575_); trivial. % 1.48/1.64 apply (zenon_L592_); trivial. % 1.48/1.64 apply (zenon_L594_); trivial. % 1.48/1.64 apply (zenon_L1463_); trivial. % 1.48/1.64 (* end of lemma zenon_L1464_ *) % 1.48/1.64 assert (zenon_L1465_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_L49_); trivial. % 1.48/1.64 (* end of lemma zenon_L1465_ *) % 1.48/1.64 assert (zenon_L1466_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.64 apply (zenon_L1465_); trivial. % 1.48/1.64 apply (zenon_L592_); trivial. % 1.48/1.64 (* end of lemma zenon_L1466_ *) % 1.48/1.64 assert (zenon_L1467_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H1b7 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_H2e0 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L185_); trivial. % 1.48/1.64 apply (zenon_L1466_); trivial. % 1.48/1.64 (* end of lemma zenon_L1467_ *) % 1.48/1.64 assert (zenon_L1468_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e0 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H33 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hba zenon_H4d zenon_H126 zenon_H128 zenon_H9 zenon_Hd zenon_H7 zenon_He7 zenon_H16b zenon_H168. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.64 apply (zenon_L1023_); trivial. % 1.48/1.64 apply (zenon_L1467_); trivial. % 1.48/1.64 (* end of lemma zenon_L1468_ *) % 1.48/1.64 assert (zenon_L1469_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H60 zenon_H1a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_Hb3 zenon_Hb1 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H5 zenon_H1ce. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.64 apply (zenon_L573_); trivial. % 1.48/1.64 apply (zenon_L1228_); trivial. % 1.48/1.64 (* end of lemma zenon_L1469_ *) % 1.48/1.64 assert (zenon_L1470_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H132 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H4d zenon_H2de zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H60 zenon_H1a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_Hba zenon_H1c8 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L4_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.64 apply (zenon_L7_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L175_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.64 apply (zenon_L84_); trivial. % 1.48/1.64 apply (zenon_L1469_); trivial. % 1.48/1.64 (* end of lemma zenon_L1470_ *) % 1.48/1.64 assert (zenon_L1471_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H184 zenon_H152 zenon_H2e0 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H182 zenon_H185. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.64 apply (zenon_L128_); trivial. % 1.48/1.64 apply (zenon_L1451_); trivial. % 1.48/1.64 (* end of lemma zenon_L1471_ *) % 1.48/1.64 assert (zenon_L1472_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H95 zenon_H189 zenon_Hd zenon_H5 zenon_H9 zenon_H185 zenon_H182 zenon_H190 zenon_H13e zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2e0 zenon_H152 zenon_H50. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L1453_); trivial. % 1.48/1.64 apply (zenon_L1471_); trivial. % 1.48/1.64 (* end of lemma zenon_L1472_ *) % 1.48/1.64 assert (zenon_L1473_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H126 zenon_H9d zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H128 zenon_H10 zenon_Hab zenon_H6e zenon_Ha2 zenon_Ha3. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.64 apply (zenon_L807_); trivial. % 1.48/1.64 apply (zenon_L53_); trivial. % 1.48/1.64 (* end of lemma zenon_L1473_ *) % 1.48/1.64 assert (zenon_L1474_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp7)) -> (~(hskp23)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H2e0 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H126 zenon_H9d zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H128 zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_L1473_); trivial. % 1.48/1.64 (* end of lemma zenon_L1474_ *) % 1.48/1.64 assert (zenon_L1475_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.48/1.64 do 0 intro. intros zenon_H84 zenon_H2e0 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_Hab zenon_Ha2 zenon_Ha3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.64 apply (zenon_L1150_); trivial. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.64 apply (zenon_L568_); trivial. % 1.48/1.64 apply (zenon_L1193_); trivial. % 1.48/1.64 (* end of lemma zenon_L1475_ *) % 1.48/1.64 assert (zenon_L1476_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2de zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.64 apply (zenon_L1465_); trivial. % 1.48/1.64 apply (zenon_L1475_); trivial. % 1.48/1.64 (* end of lemma zenon_L1476_ *) % 1.48/1.64 assert (zenon_L1477_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H1b7 zenon_Hf1 zenon_H88 zenon_Hba zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2de zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H126 zenon_H128 zenon_H2e0. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L1474_); trivial. % 1.48/1.64 apply (zenon_L1476_); trivial. % 1.48/1.64 (* end of lemma zenon_L1477_ *) % 1.48/1.64 assert (zenon_L1478_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.64 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2e0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H2de zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.64 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.64 apply (zenon_L84_); trivial. % 1.48/1.64 apply (zenon_L1475_); trivial. % 1.48/1.64 (* end of lemma zenon_L1478_ *) % 1.48/1.64 assert (zenon_L1479_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H2e0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H2de zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1c8 zenon_H1b2 zenon_H1b4 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.64 apply (zenon_L232_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.64 apply (zenon_L233_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.64 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.64 apply (zenon_L329_); trivial. % 1.48/1.64 apply (zenon_L1478_); trivial. % 1.48/1.64 (* end of lemma zenon_L1479_ *) % 1.48/1.64 assert (zenon_L1480_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp2)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((hskp14)\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H1b6 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H2e0 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1c8 zenon_H1b2 zenon_H1b4 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_He9 zenon_Hec zenon_H189 zenon_H185 zenon_H182 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H7 zenon_Hd zenon_H9 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H50 zenon_H168. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.64 apply (zenon_L1021_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.64 apply (zenon_L209_); trivial. % 1.48/1.64 apply (zenon_L1479_); trivial. % 1.48/1.64 (* end of lemma zenon_L1480_ *) % 1.48/1.64 assert (zenon_L1481_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.64 do 0 intro. intros zenon_H95 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_H1ca zenon_H4d zenon_H227 zenon_H13e zenon_H1c8 zenon_H1ce zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2e0 zenon_H152 zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.64 apply (zenon_L4_); trivial. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.64 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.64 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.64 apply (zenon_L7_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.65 apply (zenon_L297_); trivial. % 1.48/1.65 apply (zenon_L312_); trivial. % 1.48/1.65 apply (zenon_L1451_); trivial. % 1.48/1.65 apply (zenon_L642_); trivial. % 1.48/1.65 (* end of lemma zenon_L1481_ *) % 1.48/1.65 assert (zenon_L1482_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c1_1 (a449))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H98 zenon_H1ca zenon_H13e zenon_H1ce zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e0 zenon_H152 zenon_H7 zenon_H5 zenon_H1 zenon_Hd zenon_H9 zenon_Heb zenon_H130 zenon_Hdc zenon_H7d zenon_H1ad zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H4d zenon_H1c8 zenon_H28b zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H297 zenon_H9b zenon_H1a3 zenon_H1ba zenon_H1bb zenon_H1bc zenon_H227 zenon_H85 zenon_H29e zenon_Hba zenon_H88 zenon_Hf1 zenon_H50 zenon_H189. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.65 apply (zenon_L638_); trivial. % 1.48/1.65 apply (zenon_L1481_); trivial. % 1.48/1.65 (* end of lemma zenon_L1482_ *) % 1.48/1.65 assert (zenon_L1483_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1c8 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.65 apply (zenon_L1150_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.65 apply (zenon_L568_); trivial. % 1.48/1.65 apply (zenon_L1232_); trivial. % 1.48/1.65 (* end of lemma zenon_L1483_ *) % 1.48/1.65 assert (zenon_L1484_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H1b7 zenon_Hf1 zenon_H88 zenon_H130 zenon_Hba zenon_H2e0 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.65 apply (zenon_L1483_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.65 apply (zenon_L184_); trivial. % 1.48/1.65 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.65 apply (zenon_L1466_); trivial. % 1.48/1.65 (* end of lemma zenon_L1484_ *) % 1.48/1.65 assert (zenon_L1485_ : ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(hskp26)) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H29e zenon_H85 zenon_H1a3 zenon_H60 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H10 zenon_H28b zenon_Hc5 zenon_H26 zenon_H1c zenon_H1e zenon_H9d zenon_H1c8 zenon_H4d. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.48/1.65 apply (zenon_L629_); trivial. % 1.48/1.65 apply (zenon_L1221_); trivial. % 1.48/1.65 (* end of lemma zenon_L1485_ *) % 1.48/1.65 assert (zenon_L1486_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H1a3 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_Hcc zenon_H4a zenon_H38 zenon_H37 zenon_H35 zenon_H10 zenon_H60. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a4 ]. % 1.48/1.65 apply (zenon_L58_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19d | zenon_intro zenon_H61 ]. % 1.48/1.65 apply (zenon_L496_); trivial. % 1.48/1.65 exact (zenon_H60 zenon_H61). % 1.48/1.65 (* end of lemma zenon_L1486_ *) % 1.48/1.65 assert (zenon_L1487_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a432))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> (~(c3_1 (a492))) -> (~(hskp16)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2da zenon_H216 zenon_H217 zenon_H218 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2cd zenon_H2ce zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H1a3 zenon_Hd0 zenon_Hcf zenon_Hcd zenon_H60. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.65 apply (zenon_L1150_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.65 apply (zenon_L561_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.48/1.65 apply (zenon_L568_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hce | zenon_intro zenon_H162 ]. % 1.48/1.65 apply (zenon_L229_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H25 | zenon_intro zenon_Hcc ]. % 1.48/1.65 apply (zenon_L1147_); trivial. % 1.48/1.65 apply (zenon_L1486_); trivial. % 1.48/1.65 apply (zenon_L1486_); trivial. % 1.48/1.65 (* end of lemma zenon_L1487_ *) % 1.48/1.65 assert (zenon_L1488_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.65 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H60 zenon_H1a3 zenon_H2ae zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.65 apply (zenon_L297_); trivial. % 1.48/1.65 apply (zenon_L1487_); trivial. % 1.48/1.65 (* end of lemma zenon_L1488_ *) % 1.48/1.65 assert (zenon_L1489_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_Heb zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H161 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4d zenon_H1c8 zenon_H9d zenon_H1e zenon_H1c zenon_H26 zenon_H28b zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H297 zenon_H9b zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H60 zenon_H1a3 zenon_H85 zenon_H29e. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.65 apply (zenon_L1485_); trivial. % 1.48/1.65 apply (zenon_L1488_); trivial. % 1.48/1.65 (* end of lemma zenon_L1489_ *) % 1.48/1.65 assert (zenon_L1490_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_Heb zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H161 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4d zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H28b zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H297 zenon_H9b zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H60 zenon_H1a3 zenon_H85 zenon_H29e. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.65 apply (zenon_L1222_); trivial. % 1.48/1.65 apply (zenon_L1488_); trivial. % 1.48/1.65 (* end of lemma zenon_L1490_ *) % 1.48/1.65 assert (zenon_L1491_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H29e zenon_H85 zenon_H1a3 zenon_H60 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H28b zenon_Hba zenon_H4d zenon_H2da zenon_H2cd zenon_H2ce zenon_H161 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2de zenon_Heb. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_L1490_); trivial. % 1.48/1.65 apply (zenon_L1229_); trivial. % 1.48/1.65 (* end of lemma zenon_L1491_ *) % 1.48/1.65 assert (zenon_L1492_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_Hba zenon_H29e zenon_H85 zenon_H1a3 zenon_H60 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H28b zenon_H1c8 zenon_H4d zenon_H2da zenon_H2cd zenon_H2ce zenon_H161 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2de zenon_Heb. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_L1489_); trivial. % 1.48/1.65 apply (zenon_L1491_); trivial. % 1.48/1.65 (* end of lemma zenon_L1492_ *) % 1.48/1.65 assert (zenon_L1493_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H98 zenon_H185 zenon_H182 zenon_H190 zenon_H13e zenon_H2e0 zenon_H152 zenon_H7 zenon_H5 zenon_H1 zenon_Hd zenon_H9 zenon_Heb zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H161 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4d zenon_H1c8 zenon_H28b zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H297 zenon_H9b zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H29e zenon_Hba zenon_H88 zenon_Hf1 zenon_H50 zenon_H189. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.65 apply (zenon_L4_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.65 apply (zenon_L7_); trivial. % 1.48/1.65 apply (zenon_L1492_); trivial. % 1.48/1.65 apply (zenon_L1472_); trivial. % 1.48/1.65 (* end of lemma zenon_L1493_ *) % 1.48/1.65 assert (zenon_L1494_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp19)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H3 zenon_H31 zenon_H10 zenon_H1f4 zenon_H1f5 zenon_H265 zenon_H1b2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.65 apply (zenon_L275_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.65 apply (zenon_L1120_); trivial. % 1.48/1.65 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.65 (* end of lemma zenon_L1494_ *) % 1.48/1.65 assert (zenon_L1495_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp16)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H46 zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1c8 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2e0 zenon_H60 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2de zenon_H1b2. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.65 apply (zenon_L1483_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.65 apply (zenon_L1226_); trivial. % 1.48/1.65 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.65 (* end of lemma zenon_L1495_ *) % 1.48/1.65 assert (zenon_L1496_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H29e zenon_H85 zenon_H9b zenon_H297 zenon_H28b zenon_Hba zenon_H161 zenon_H2ae zenon_Heb zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2e0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1c8 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2de zenon_H60 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1b2 zenon_H22b zenon_H4d. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.65 apply (zenon_L297_); trivial. % 1.48/1.65 apply (zenon_L1495_); trivial. % 1.48/1.65 apply (zenon_L1491_); trivial. % 1.48/1.65 (* end of lemma zenon_L1496_ *) % 1.48/1.65 assert (zenon_L1497_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp6)) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp5)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H1c8 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e0 zenon_H9 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H93 zenon_H1b2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.65 apply (zenon_L1483_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.65 apply (zenon_L326_); trivial. % 1.48/1.65 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.65 (* end of lemma zenon_L1497_ *) % 1.48/1.65 assert (zenon_L1498_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H95 zenon_Hf1 zenon_H88 zenon_Hba zenon_H2e0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H93 zenon_H9 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1b2 zenon_H22b. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_L1497_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_L1465_); trivial. % 1.48/1.65 apply (zenon_L39_); trivial. % 1.48/1.65 (* end of lemma zenon_L1498_ *) % 1.48/1.65 assert (zenon_L1499_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> False). % 1.48/1.65 do 0 intro. intros zenon_Hed zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H216 zenon_H217 zenon_H218 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H1ba zenon_H1bc zenon_H1bb. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.48/1.65 apply (zenon_L568_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.48/1.65 apply (zenon_L561_); trivial. % 1.48/1.65 apply (zenon_L184_); trivial. % 1.48/1.65 (* end of lemma zenon_L1499_ *) % 1.48/1.65 assert (zenon_L1500_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H29e zenon_H85 zenon_H1a3 zenon_H60 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H14 zenon_H13 zenon_H12 zenon_H28b zenon_Hba zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H161 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Heb. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.65 apply (zenon_L1222_); trivial. % 1.48/1.65 apply (zenon_L1499_); trivial. % 1.48/1.65 apply (zenon_L592_); trivial. % 1.48/1.65 (* end of lemma zenon_L1500_ *) % 1.48/1.65 assert (zenon_L1501_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((~(c0_1 (a509)))/\((~(c2_1 (a509)))/\(~(c3_1 (a509))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp29)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp26)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H168 zenon_H16b zenon_He7 zenon_H189 zenon_H50 zenon_Hf1 zenon_H88 zenon_Hba zenon_H29e zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H9b zenon_H297 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H28b zenon_H1c8 zenon_H4d zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H161 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Heb zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H152 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H1ce zenon_H13e zenon_H227 zenon_H1ca zenon_H98. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.65 apply (zenon_L4_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.65 apply (zenon_L7_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.65 apply (zenon_L1485_); trivial. % 1.48/1.65 apply (zenon_L1499_); trivial. % 1.48/1.65 apply (zenon_L1500_); trivial. % 1.48/1.65 apply (zenon_L1481_); trivial. % 1.48/1.65 apply (zenon_L1040_); trivial. % 1.48/1.65 (* end of lemma zenon_L1501_ *) % 1.48/1.65 assert (zenon_L1502_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H168 zenon_H16b zenon_Hf1 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1c8 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H7 zenon_H5 zenon_Hd zenon_H9 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1ce zenon_H47 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H227 zenon_H4d zenon_H50 zenon_H189. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.65 apply (zenon_L305_); trivial. % 1.48/1.65 apply (zenon_L1040_); trivial. % 1.48/1.65 (* end of lemma zenon_L1502_ *) % 1.48/1.65 assert (zenon_L1503_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a447)) -> (c3_1 (a447)) -> (c1_1 (a447)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H6e zenon_H70 zenon_H71 zenon_H78. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.48/1.65 apply (zenon_L568_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.48/1.65 apply (zenon_L26_); trivial. % 1.48/1.65 apply (zenon_L32_); trivial. % 1.48/1.65 (* end of lemma zenon_L1503_ *) % 1.48/1.65 assert (zenon_L1504_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H7f zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H57 zenon_H56 zenon_H55. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.65 apply (zenon_L1150_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.65 apply (zenon_L568_); trivial. % 1.48/1.65 apply (zenon_L1503_); trivial. % 1.48/1.65 (* end of lemma zenon_L1504_ *) % 1.48/1.65 assert (zenon_L1505_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H85 zenon_H2e0 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.48/1.65 apply (zenon_L29_); trivial. % 1.48/1.65 apply (zenon_L1504_); trivial. % 1.48/1.65 (* end of lemma zenon_L1505_ *) % 1.48/1.65 assert (zenon_L1506_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H84 zenon_H152 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H130 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H253 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.65 apply (zenon_L654_); trivial. % 1.48/1.65 apply (zenon_L1451_); trivial. % 1.48/1.65 (* end of lemma zenon_L1506_ *) % 1.48/1.65 assert (zenon_L1507_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.65 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H152 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H130 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H253 zenon_H5 zenon_H1ce zenon_H4d zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_L84_); trivial. % 1.48/1.65 apply (zenon_L1506_); trivial. % 1.48/1.65 (* end of lemma zenon_L1507_ *) % 1.48/1.65 assert (zenon_L1508_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H132 zenon_H189 zenon_H185 zenon_H182 zenon_H2ac zenon_H1b4 zenon_H1b2 zenon_H57 zenon_H56 zenon_H55 zenon_H8a zenon_H8b zenon_H8c zenon_H1c8 zenon_Hba zenon_H4d zenon_H1ce zenon_H5 zenon_H253 zenon_H267 zenon_H13e zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H254 zenon_H252 zenon_H130 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e0 zenon_H152 zenon_H88 zenon_Hf1. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_L329_); trivial. % 1.48/1.65 apply (zenon_L1507_); trivial. % 1.48/1.65 apply (zenon_L1088_); trivial. % 1.48/1.65 (* end of lemma zenon_L1508_ *) % 1.48/1.65 assert (zenon_L1509_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H165 zenon_H98 zenon_H16b zenon_H1b4 zenon_H1b2 zenon_H1c8 zenon_Hf1 zenon_H88 zenon_H152 zenon_H130 zenon_H265 zenon_H13e zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H2ae zenon_H9b zenon_H9f zenon_H185 zenon_H182 zenon_H189 zenon_H62 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H2e0 zenon_H85. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.65 apply (zenon_L1505_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_L45_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_L1085_); trivial. % 1.48/1.65 apply (zenon_L1506_); trivial. % 1.48/1.65 apply (zenon_L1471_); trivial. % 1.48/1.65 apply (zenon_L1508_); trivial. % 1.48/1.65 (* end of lemma zenon_L1509_ *) % 1.48/1.65 assert (zenon_L1510_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H1b6 zenon_Heb zenon_H2de zenon_H80 zenon_Hdc zenon_Hc7 zenon_H7d zenon_H25b zenon_H2b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H85 zenon_H2e0 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H62 zenon_H189 zenon_H182 zenon_H185 zenon_H9f zenon_H9b zenon_H2ae zenon_Hba zenon_H4d zenon_H1ce zenon_H267 zenon_H13e zenon_H265 zenon_H130 zenon_H152 zenon_H88 zenon_Hf1 zenon_H1c8 zenon_H1b2 zenon_H1b4 zenon_H16b zenon_H98 zenon_H168. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.65 apply (zenon_L348_); trivial. % 1.48/1.65 apply (zenon_L1509_); trivial. % 1.48/1.65 apply (zenon_L1457_); trivial. % 1.48/1.65 (* end of lemma zenon_L1510_ *) % 1.48/1.65 assert (zenon_L1511_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp7)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H128 zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H9d zenon_H126. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.48/1.65 apply (zenon_L568_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.48/1.65 apply (zenon_L1460_); trivial. % 1.48/1.65 apply (zenon_L368_); trivial. % 1.48/1.65 (* end of lemma zenon_L1511_ *) % 1.48/1.65 assert (zenon_L1512_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hde zenon_H10 zenon_H174 zenon_H175 zenon_H176. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.65 apply (zenon_L1150_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.65 apply (zenon_L568_); trivial. % 1.48/1.65 apply (zenon_L107_); trivial. % 1.48/1.65 (* end of lemma zenon_L1512_ *) % 1.48/1.65 assert (zenon_L1513_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp25)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H176 zenon_H175 zenon_H174 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e0 zenon_H13c zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H5. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.65 apply (zenon_L1512_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.65 apply (zenon_L353_); trivial. % 1.48/1.65 exact (zenon_H5 zenon_H6). % 1.48/1.65 (* end of lemma zenon_L1513_ *) % 1.48/1.65 assert (zenon_L1514_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c0_1 (a432))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H152 zenon_H2ae zenon_H252 zenon_H253 zenon_H254 zenon_H9d zenon_H126 zenon_H128 zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H2e0 zenon_H176 zenon_H175 zenon_H174 zenon_H2da zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.65 apply (zenon_L1511_); trivial. % 1.48/1.65 apply (zenon_L1513_); trivial. % 1.48/1.65 apply (zenon_L1451_); trivial. % 1.48/1.65 (* end of lemma zenon_L1514_ *) % 1.48/1.65 assert (zenon_L1515_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.48/1.65 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.48/1.65 apply (zenon_L568_); trivial. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.48/1.65 apply (zenon_L1460_); trivial. % 1.48/1.65 apply (zenon_L452_); trivial. % 1.48/1.65 (* end of lemma zenon_L1515_ *) % 1.48/1.65 assert (zenon_L1516_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp25)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c0_1 (a432))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H4d zenon_H1ce zenon_H5 zenon_H13c zenon_H267 zenon_H2da zenon_H174 zenon_H175 zenon_H176 zenon_H2e0 zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ce zenon_H2cd zenon_H14 zenon_H13 zenon_H12 zenon_Hba zenon_H51 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H254 zenon_H253 zenon_H252 zenon_H2ae. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.65 apply (zenon_L1515_); trivial. % 1.48/1.65 apply (zenon_L1513_); trivial. % 1.48/1.65 (* end of lemma zenon_L1516_ *) % 1.48/1.65 assert (zenon_L1517_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c0_1 (a432))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H189 zenon_Hf1 zenon_H88 zenon_H185 zenon_H182 zenon_H7d zenon_H80 zenon_Hba zenon_H4d zenon_H1ce zenon_H267 zenon_H2da zenon_H174 zenon_H175 zenon_H176 zenon_H2e0 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ce zenon_H2cd zenon_H128 zenon_H126 zenon_H254 zenon_H253 zenon_H252 zenon_H2ae zenon_H152 zenon_H1 zenon_H5 zenon_H7. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.65 apply (zenon_L4_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_L1514_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.65 apply (zenon_L1516_); trivial. % 1.48/1.65 apply (zenon_L1451_); trivial. % 1.48/1.65 apply (zenon_L506_); trivial. % 1.48/1.65 (* end of lemma zenon_L1517_ *) % 1.48/1.65 assert (zenon_L1518_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H152 zenon_H2e0 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H51 zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H267 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.65 apply (zenon_L650_); trivial. % 1.48/1.65 apply (zenon_L421_); trivial. % 1.48/1.65 apply (zenon_L1451_); trivial. % 1.48/1.65 (* end of lemma zenon_L1518_ *) % 1.48/1.65 assert (zenon_L1519_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H88 zenon_H130 zenon_H13e zenon_H8c zenon_H8b zenon_H8a zenon_H4d zenon_H1ce zenon_H5 zenon_H267 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2e0 zenon_H152. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_L1518_); trivial. % 1.48/1.65 apply (zenon_L1506_); trivial. % 1.48/1.65 (* end of lemma zenon_L1519_ *) % 1.48/1.65 assert (zenon_L1520_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H98 zenon_H16b zenon_Hf1 zenon_H88 zenon_H2e0 zenon_H2de zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H1c8 zenon_H1b2 zenon_H1b4 zenon_He7 zenon_H62 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a3 zenon_H85 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.65 apply (zenon_L348_); trivial. % 1.48/1.65 apply (zenon_L1479_); trivial. % 1.48/1.65 (* end of lemma zenon_L1520_ *) % 1.48/1.65 assert (zenon_L1521_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66))))))\/(hskp16))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H1b6 zenon_H2de zenon_H25b zenon_H2b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H85 zenon_H1a3 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H62 zenon_He7 zenon_Hf1 zenon_H88 zenon_H152 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H130 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H13e zenon_H267 zenon_H1ce zenon_H4d zenon_Hba zenon_H1c8 zenon_H1b2 zenon_H1b4 zenon_H2ac zenon_H182 zenon_H185 zenon_H189 zenon_H16b zenon_H98 zenon_H168. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.65 apply (zenon_L348_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.65 apply (zenon_L232_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.48/1.65 apply (zenon_L233_); trivial. % 1.48/1.65 apply (zenon_L1508_); trivial. % 1.48/1.65 apply (zenon_L1520_); trivial. % 1.48/1.65 (* end of lemma zenon_L1521_ *) % 1.48/1.65 assert (zenon_L1522_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H1a7 zenon_H175 zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2ae. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.65 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_L1108_); trivial. % 1.48/1.65 apply (zenon_L592_); trivial. % 1.48/1.65 (* end of lemma zenon_L1522_ *) % 1.48/1.65 assert (zenon_L1523_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1a7 zenon_H2ae zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H128 zenon_H126 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1 zenon_H16b zenon_H168. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.65 apply (zenon_L348_); trivial. % 1.48/1.65 apply (zenon_L1041_); trivial. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.65 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.65 apply (zenon_L185_); trivial. % 1.48/1.65 apply (zenon_L1522_); trivial. % 1.48/1.65 (* end of lemma zenon_L1523_ *) % 1.48/1.65 assert (zenon_L1524_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H184 zenon_H152 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2e0 zenon_H176 zenon_H175 zenon_H174 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.65 apply (zenon_L297_); trivial. % 1.48/1.65 apply (zenon_L1513_); trivial. % 1.48/1.65 apply (zenon_L1451_); trivial. % 1.48/1.65 (* end of lemma zenon_L1524_ *) % 1.48/1.65 assert (zenon_L1525_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H189 zenon_H152 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2e0 zenon_H176 zenon_H175 zenon_H174 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H4d zenon_H1 zenon_H5 zenon_H7. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.65 apply (zenon_L4_); trivial. % 1.48/1.65 apply (zenon_L1524_); trivial. % 1.48/1.65 (* end of lemma zenon_L1525_ *) % 1.48/1.65 assert (zenon_L1526_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H168 zenon_H1b4 zenon_H1b2 zenon_H7 zenon_H5 zenon_H4d zenon_H1ce zenon_H252 zenon_H253 zenon_H254 zenon_H267 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H174 zenon_H175 zenon_H176 zenon_H2e0 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H152 zenon_H189. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.65 apply (zenon_L1525_); trivial. % 1.48/1.65 apply (zenon_L168_); trivial. % 1.48/1.65 (* end of lemma zenon_L1526_ *) % 1.48/1.65 assert (zenon_L1527_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H84 zenon_H152 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H130 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H267 zenon_H253 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.65 apply (zenon_L653_); trivial. % 1.48/1.65 apply (zenon_L421_); trivial. % 1.48/1.65 apply (zenon_L1451_); trivial. % 1.48/1.65 (* end of lemma zenon_L1527_ *) % 1.48/1.65 assert (zenon_L1528_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H184 zenon_H152 zenon_H2e0 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H5 zenon_H1ce zenon_H4d. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.65 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.65 apply (zenon_L470_); trivial. % 1.48/1.65 apply (zenon_L1451_); trivial. % 1.48/1.65 (* end of lemma zenon_L1528_ *) % 1.48/1.65 assert (zenon_L1529_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.48/1.65 do 0 intro. intros zenon_H189 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H152 zenon_H2e0 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_H130 zenon_H88. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.65 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.65 apply (zenon_L1518_); trivial. % 1.48/1.65 apply (zenon_L1527_); trivial. % 1.48/1.65 apply (zenon_L1528_); trivial. % 1.48/1.65 (* end of lemma zenon_L1529_ *) % 1.48/1.65 assert (zenon_L1530_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H189 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H152 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2e0 zenon_H176 zenon_H175 zenon_H174 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H267 zenon_H5 zenon_H1ce zenon_H4d zenon_H2ae zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1a7 zenon_H130 zenon_H88. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L650_); trivial. % 1.48/1.66 apply (zenon_L1513_); trivial. % 1.48/1.66 apply (zenon_L1451_); trivial. % 1.48/1.66 apply (zenon_L1109_); trivial. % 1.48/1.66 apply (zenon_L1524_); trivial. % 1.48/1.66 (* end of lemma zenon_L1530_ *) % 1.48/1.66 assert (zenon_L1531_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H168 zenon_H1b4 zenon_H22b zenon_H1b2 zenon_H1c8 zenon_H1ca zenon_Hf1 zenon_H88 zenon_H130 zenon_H1a7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2ae zenon_H4d zenon_H1ce zenon_H267 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2e0 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H152 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H189. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.66 apply (zenon_L1530_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.66 apply (zenon_L1233_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.66 apply (zenon_L1106_); trivial. % 1.48/1.66 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.66 apply (zenon_L1110_); trivial. % 1.48/1.66 apply (zenon_L168_); trivial. % 1.48/1.66 (* end of lemma zenon_L1531_ *) % 1.48/1.66 assert (zenon_L1532_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_Hf1 zenon_H1c8 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b zenon_H88 zenon_H130 zenon_H1a7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2ae zenon_H4d zenon_H1ce zenon_H267 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2e0 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H152 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H189. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.66 apply (zenon_L1530_); trivial. % 1.48/1.66 apply (zenon_L1484_); trivial. % 1.48/1.66 (* end of lemma zenon_L1532_ *) % 1.48/1.66 assert (zenon_L1533_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (~(c2_1 (a484))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (c1_1 (a484)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (ndr1_0) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4a zenon_H38 zenon_H37 zenon_Hb1 zenon_Hde zenon_Hb3 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H10 zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.66 apply (zenon_L1150_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.48/1.66 apply (zenon_L568_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.48/1.66 apply (zenon_L60_); trivial. % 1.48/1.66 apply (zenon_L154_); trivial. % 1.48/1.66 apply (zenon_L482_); trivial. % 1.48/1.66 (* end of lemma zenon_L1533_ *) % 1.48/1.66 assert (zenon_L1534_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H46 zenon_H185 zenon_H27e zenon_H27d zenon_H27c zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hb3 zenon_Hb1 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.66 apply (zenon_L1533_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.66 apply (zenon_L9_); trivial. % 1.48/1.66 exact (zenon_H182 zenon_H183). % 1.48/1.66 (* end of lemma zenon_L1534_ *) % 1.48/1.66 assert (zenon_L1535_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> False). % 1.48/1.66 do 0 intro. intros zenon_Hf2 zenon_H4d zenon_H185 zenon_H182 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H2ac zenon_H12 zenon_H13 zenon_H14 zenon_H1c zenon_H1e zenon_H26 zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H5 zenon_H1ce. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L573_); trivial. % 1.48/1.66 apply (zenon_L1534_); trivial. % 1.48/1.66 (* end of lemma zenon_L1535_ *) % 1.48/1.66 assert (zenon_L1536_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp17)) -> (~(hskp10)) -> ((hskp17)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H189 zenon_H50 zenon_Hf1 zenon_H4d zenon_H185 zenon_H182 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H2ac zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H1ce zenon_H99 zenon_H9b zenon_H9f zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.66 apply (zenon_L4_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.66 apply (zenon_L7_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.66 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.66 apply (zenon_L45_); trivial. % 1.48/1.66 apply (zenon_L1535_); trivial. % 1.48/1.66 (* end of lemma zenon_L1536_ *) % 1.48/1.66 assert (zenon_L1537_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(hskp24)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp13)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H46 zenon_H1ce zenon_H27e zenon_H27d zenon_H27c zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e6 zenon_H51 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hba zenon_H5. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.48/1.66 apply (zenon_L1533_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.48/1.66 apply (zenon_L574_); trivial. % 1.48/1.66 exact (zenon_H5 zenon_H6). % 1.48/1.66 (* end of lemma zenon_L1537_ *) % 1.48/1.66 assert (zenon_L1538_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a484))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a484)) -> (~(c2_1 (a484))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_Hed zenon_H4d zenon_H1ce zenon_H5 zenon_Hb2 zenon_H51 zenon_Hba zenon_H2da zenon_H2ac zenon_Hb3 zenon_Hb1 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L1462_); trivial. % 1.48/1.66 apply (zenon_L1537_); trivial. % 1.48/1.66 (* end of lemma zenon_L1538_ *) % 1.48/1.66 assert (zenon_L1539_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a448)) -> (~(c2_1 (a448))) -> (~(c0_1 (a448))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H1b6 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H189 zenon_H185 zenon_H182 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H7 zenon_Hd zenon_H9 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H50 zenon_H168. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.66 apply (zenon_L1021_); trivial. % 1.48/1.66 apply (zenon_L1359_); trivial. % 1.48/1.66 (* end of lemma zenon_L1539_ *) % 1.48/1.66 assert (zenon_L1540_ : ((ndr1_0)/\((c1_1 (a448))/\((~(c0_1 (a448)))/\(~(c2_1 (a448)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H1ef zenon_H1dd zenon_H2e0 zenon_Hf1 zenon_H88 zenon_H130 zenon_H1ce zenon_H33 zenon_Hba zenon_H4d zenon_H126 zenon_H128 zenon_He7 zenon_H16b zenon_H168 zenon_H50 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H9 zenon_Hd zenon_H7 zenon_H185 zenon_H189 zenon_H2da zenon_H2cd zenon_H2ce zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H1b6. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.48/1.66 apply (zenon_L1539_); trivial. % 1.48/1.66 apply (zenon_L1468_); trivial. % 1.48/1.66 (* end of lemma zenon_L1540_ *) % 1.48/1.66 assert (zenon_L1541_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.66 do 0 intro. intros zenon_Hf2 zenon_H4d zenon_H185 zenon_H182 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L297_); trivial. % 1.48/1.66 apply (zenon_L1534_); trivial. % 1.48/1.66 (* end of lemma zenon_L1541_ *) % 1.48/1.66 assert (zenon_L1542_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H46 zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H55 zenon_H56 zenon_H57 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ac zenon_H27c zenon_H27d zenon_H27e. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.48/1.66 apply (zenon_L1150_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H12d | zenon_intro zenon_H2ad ]. % 1.48/1.66 apply (zenon_L568_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H54 | zenon_intro zenon_H1b ]. % 1.48/1.66 apply (zenon_L26_); trivial. % 1.48/1.66 apply (zenon_L154_); trivial. % 1.48/1.66 apply (zenon_L482_); trivial. % 1.48/1.66 (* end of lemma zenon_L1542_ *) % 1.48/1.66 assert (zenon_L1543_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H165 zenon_H50 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2ac zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.66 apply (zenon_L7_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L1062_); trivial. % 1.48/1.66 apply (zenon_L1542_); trivial. % 1.48/1.66 (* end of lemma zenon_L1543_ *) % 1.48/1.66 assert (zenon_L1544_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H50 zenon_Hf1 zenon_H88 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H3 zenon_H1f5 zenon_H1f4 zenon_H130 zenon_Hba zenon_H11f zenon_H115 zenon_H116 zenon_H1c8 zenon_H9 zenon_H5 zenon_Hd. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.66 apply (zenon_L7_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.66 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.66 apply (zenon_L175_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.66 apply (zenon_L84_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L1143_); trivial. % 1.48/1.66 apply (zenon_L1542_); trivial. % 1.48/1.66 (* end of lemma zenon_L1544_ *) % 1.48/1.66 assert (zenon_L1545_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H184 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2ce zenon_H2cd zenon_H2da zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L297_); trivial. % 1.48/1.66 apply (zenon_L1542_); trivial. % 1.48/1.66 (* end of lemma zenon_L1545_ *) % 1.48/1.66 assert (zenon_L1546_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a448))) -> (~(c2_1 (a448))) -> (c1_1 (a448)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2ce zenon_H2cd zenon_H2da zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H47 zenon_H1ce zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H7 zenon_He7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1c8 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_H88 zenon_Hf1 zenon_H16b zenon_H168. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.66 apply (zenon_L1502_); trivial. % 1.48/1.66 apply (zenon_L1359_); trivial. % 1.48/1.66 (* end of lemma zenon_L1546_ *) % 1.48/1.66 assert (zenon_L1547_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a435))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2a3 zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L650_); trivial. % 1.48/1.66 apply (zenon_L1542_); trivial. % 1.48/1.66 (* end of lemma zenon_L1547_ *) % 1.48/1.66 assert (zenon_L1548_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H130. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L653_); trivial. % 1.48/1.66 apply (zenon_L1542_); trivial. % 1.48/1.66 (* end of lemma zenon_L1548_ *) % 1.48/1.66 assert (zenon_L1549_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (~(c0_1 (a435))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H88 zenon_H130 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2ac zenon_H57 zenon_H56 zenon_H55 zenon_H2a3 zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H4d. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.66 apply (zenon_L1547_); trivial. % 1.48/1.66 apply (zenon_L1548_); trivial. % 1.48/1.66 (* end of lemma zenon_L1549_ *) % 1.48/1.66 assert (zenon_L1550_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2da zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ce zenon_H2cd zenon_H14 zenon_H13 zenon_H12 zenon_H128 zenon_H126 zenon_H9d zenon_H254 zenon_H253 zenon_H252 zenon_H2ae. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L1511_); trivial. % 1.48/1.66 apply (zenon_L1542_); trivial. % 1.48/1.66 (* end of lemma zenon_L1550_ *) % 1.48/1.66 assert (zenon_L1551_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H11e zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.48/1.66 apply (zenon_L568_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.48/1.66 apply (zenon_L1460_); trivial. % 1.48/1.66 apply (zenon_L365_); trivial. % 1.48/1.66 (* end of lemma zenon_L1551_ *) % 1.48/1.66 assert (zenon_L1552_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H130 zenon_H67 zenon_H66 zenon_H65 zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.48/1.66 apply (zenon_L568_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.48/1.66 apply (zenon_L30_); trivial. % 1.48/1.66 apply (zenon_L1551_); trivial. % 1.48/1.66 (* end of lemma zenon_L1552_ *) % 1.48/1.66 assert (zenon_L1553_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H254 zenon_H253 zenon_H252 zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H130. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L1552_); trivial. % 1.48/1.66 apply (zenon_L1542_); trivial. % 1.48/1.66 (* end of lemma zenon_L1553_ *) % 1.48/1.66 assert (zenon_L1554_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c3_1 (a474))) -> (c0_1 (a474)) -> (c1_1 (a474)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H10 zenon_H108 zenon_H109 zenon_H10a. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.48/1.66 apply (zenon_L568_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.48/1.66 apply (zenon_L1460_); trivial. % 1.48/1.66 apply (zenon_L76_); trivial. % 1.48/1.66 (* end of lemma zenon_L1554_ *) % 1.48/1.66 assert (zenon_L1555_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H111 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ce zenon_H2cd zenon_H14 zenon_H13 zenon_H12 zenon_H2ae. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L1554_); trivial. % 1.48/1.66 apply (zenon_L1542_); trivial. % 1.48/1.66 (* end of lemma zenon_L1555_ *) % 1.48/1.66 assert (zenon_L1556_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c1_1 (a463))) -> (c0_1 (a463)) -> (c2_1 (a463)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.66 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H254 zenon_H253 zenon_H252 zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H130 zenon_H11f zenon_H115 zenon_H116 zenon_Hba. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.66 apply (zenon_L84_); trivial. % 1.48/1.66 apply (zenon_L1553_); trivial. % 1.48/1.66 (* end of lemma zenon_L1556_ *) % 1.48/1.66 assert (zenon_L1557_ : ((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a435))) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H132 zenon_H189 zenon_Hf1 zenon_H2ae zenon_H126 zenon_H128 zenon_H33 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2a3 zenon_H55 zenon_H56 zenon_H57 zenon_H2ac zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H130 zenon_H88. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.66 apply (zenon_L1549_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.66 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.66 apply (zenon_L1550_); trivial. % 1.48/1.66 apply (zenon_L1556_); trivial. % 1.48/1.66 (* end of lemma zenon_L1557_ *) % 1.48/1.66 assert (zenon_L1558_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H165 zenon_H189 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2a3 zenon_H2ac zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H130 zenon_H88. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.66 apply (zenon_L1549_); trivial. % 1.48/1.66 apply (zenon_L1545_); trivial. % 1.48/1.66 (* end of lemma zenon_L1558_ *) % 1.48/1.66 assert (zenon_L1559_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp12)) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H168 zenon_H189 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H4d zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2a3 zenon_H2ac zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H130 zenon_H88 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H2b zenon_H25b. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.66 apply (zenon_L348_); trivial. % 1.48/1.66 apply (zenon_L1558_); trivial. % 1.48/1.66 (* end of lemma zenon_L1559_ *) % 1.48/1.66 assert (zenon_L1560_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a456)) -> (c1_1 (a456)) -> (c0_1 (a456)) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60)))))) -> (ndr1_0) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H236 zenon_H235 zenon_H234 zenon_H25 zenon_H10 zenon_H1c zenon_H1e zenon_H26. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.48/1.66 apply (zenon_L719_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.48/1.66 apply (zenon_L336_); trivial. % 1.48/1.66 apply (zenon_L11_); trivial. % 1.48/1.66 (* end of lemma zenon_L1560_ *) % 1.48/1.66 assert (zenon_L1561_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp28)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H247 zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H26 zenon_H1e zenon_H1c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H31. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.66 apply (zenon_L9_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.66 apply (zenon_L1560_); trivial. % 1.48/1.66 exact (zenon_H31 zenon_H32). % 1.48/1.66 (* end of lemma zenon_L1561_ *) % 1.48/1.66 assert (zenon_L1562_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c2_1 (a437)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a472))) -> (c0_1 (a472)) -> (c3_1 (a472)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H247 zenon_H47 zenon_H38 zenon_H37 zenon_H4a zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H26 zenon_H1c zenon_H1e. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H4b ]. % 1.48/1.66 apply (zenon_L747_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.48/1.66 apply (zenon_L721_); trivial. % 1.48/1.66 apply (zenon_L20_); trivial. % 1.48/1.66 (* end of lemma zenon_L1562_ *) % 1.48/1.66 assert (zenon_L1563_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H46 zenon_H24c zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c zenon_H1e zenon_H26 zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.66 apply (zenon_L1168_); trivial. % 1.48/1.66 apply (zenon_L1562_); trivial. % 1.48/1.66 (* end of lemma zenon_L1563_ *) % 1.48/1.66 assert (zenon_L1564_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H4c zenon_H4d zenon_H47 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H24c. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.66 apply (zenon_L1168_); trivial. % 1.48/1.66 apply (zenon_L1561_); trivial. % 1.48/1.66 apply (zenon_L1563_); trivial. % 1.48/1.66 (* end of lemma zenon_L1564_ *) % 1.48/1.66 assert (zenon_L1565_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H24c zenon_H9 zenon_Hd zenon_H1 zenon_H5 zenon_H7. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.66 apply (zenon_L4_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.66 apply (zenon_L7_); trivial. % 1.48/1.66 apply (zenon_L1564_); trivial. % 1.48/1.66 (* end of lemma zenon_L1565_ *) % 1.48/1.66 assert (zenon_L1566_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H24c zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H185 zenon_H182 zenon_H7d zenon_H103 zenon_H13e zenon_H80 zenon_H152 zenon_H88 zenon_H98. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.66 apply (zenon_L1565_); trivial. % 1.48/1.66 apply (zenon_L508_); trivial. % 1.48/1.66 apply (zenon_L724_); trivial. % 1.48/1.66 (* end of lemma zenon_L1566_ *) % 1.48/1.66 assert (zenon_L1567_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> False). % 1.48/1.66 do 0 intro. intros zenon_Heb zenon_H2de zenon_H80 zenon_Hdc zenon_H2ce zenon_H2cd zenon_H2da zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hb zenon_H271. % 1.48/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.66 apply (zenon_L726_); trivial. % 1.48/1.66 apply (zenon_L1280_); trivial. % 1.48/1.66 (* end of lemma zenon_L1567_ *) % 1.48/1.66 assert (zenon_L1568_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp19)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp28)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H247 zenon_H33 zenon_H3 zenon_H190 zenon_H26 zenon_H1e zenon_H1c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H31. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.66 apply (zenon_L116_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.66 apply (zenon_L1560_); trivial. % 1.48/1.66 exact (zenon_H31 zenon_H32). % 1.48/1.66 (* end of lemma zenon_L1568_ *) % 1.48/1.66 assert (zenon_L1569_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H60 zenon_H190 zenon_H3 zenon_H245 zenon_H33 zenon_H24c zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H2da zenon_H2cd zenon_H2ce zenon_Hdc zenon_H80 zenon_H2de zenon_Heb. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.66 apply (zenon_L1567_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.66 apply (zenon_L1168_); trivial. % 1.48/1.66 apply (zenon_L1568_); trivial. % 1.48/1.66 apply (zenon_L1563_); trivial. % 1.48/1.66 (* end of lemma zenon_L1569_ *) % 1.48/1.66 assert (zenon_L1570_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H95 zenon_H50 zenon_H9 zenon_H93 zenon_H231 zenon_H245 zenon_H182 zenon_H185 zenon_H24c zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H2da zenon_H2cd zenon_H2ce zenon_Hdc zenon_H80 zenon_H2de zenon_Heb. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.66 apply (zenon_L1567_); trivial. % 1.48/1.66 apply (zenon_L749_); trivial. % 1.48/1.66 (* end of lemma zenon_L1570_ *) % 1.48/1.66 assert (zenon_L1571_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H24c zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H128 zenon_H126 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H152 zenon_H1ca zenon_Hba zenon_H1ce zenon_H13e zenon_H93 zenon_H88 zenon_Hf1 zenon_H98. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.66 apply (zenon_L1565_); trivial. % 1.48/1.66 apply (zenon_L823_); trivial. % 1.48/1.66 apply (zenon_L724_); trivial. % 1.48/1.66 (* end of lemma zenon_L1571_ *) % 1.48/1.66 assert (zenon_L1572_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H130 zenon_H98 zenon_Hf1 zenon_H88 zenon_H93 zenon_H13e zenon_H1ce zenon_Hba zenon_H1ca zenon_H152 zenon_H126 zenon_H128 zenon_H7 zenon_Hd zenon_H9 zenon_H24c zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H2d zenon_H202 zenon_H168. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.66 apply (zenon_L1571_); trivial. % 1.48/1.66 apply (zenon_L784_); trivial. % 1.48/1.66 (* end of lemma zenon_L1572_ *) % 1.48/1.66 assert (zenon_L1573_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H24c zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H185 zenon_H182 zenon_H13e zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1ca zenon_H152 zenon_H98. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.66 apply (zenon_L1565_); trivial. % 1.48/1.66 apply (zenon_L814_); trivial. % 1.48/1.66 apply (zenon_L724_); trivial. % 1.48/1.66 (* end of lemma zenon_L1573_ *) % 1.48/1.66 assert (zenon_L1574_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H84 zenon_H2e0 zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_Hab zenon_Ha2 zenon_Ha3. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.66 apply (zenon_L1150_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.66 apply (zenon_L777_); trivial. % 1.48/1.66 apply (zenon_L1193_); trivial. % 1.48/1.66 (* end of lemma zenon_L1574_ *) % 1.48/1.66 assert (zenon_L1575_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.48/1.66 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2e0 zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H2ce zenon_H2cd zenon_H2da zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.66 apply (zenon_L239_); trivial. % 1.48/1.66 apply (zenon_L1574_); trivial. % 1.48/1.66 (* end of lemma zenon_L1575_ *) % 1.48/1.66 assert (zenon_L1576_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2e0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_Hba zenon_H10 zenon_H2da zenon_H2cd zenon_H2ce zenon_H128 zenon_H126 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1ca zenon_H1 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2de. % 1.48/1.66 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.66 apply (zenon_L1192_); trivial. % 1.48/1.66 apply (zenon_L1575_); trivial. % 1.48/1.66 (* end of lemma zenon_L1576_ *) % 1.48/1.66 assert (zenon_L1577_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H4c zenon_H4d zenon_H24c zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H190 zenon_H3 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L309_); trivial. % 1.48/1.66 apply (zenon_L1563_); trivial. % 1.48/1.66 (* end of lemma zenon_L1577_ *) % 1.48/1.66 assert (zenon_L1578_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H50 zenon_H4d zenon_H24c zenon_H47 zenon_H245 zenon_H60 zenon_H2e2 zenon_H190 zenon_H3 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H7d zenon_Hc7 zenon_H2da zenon_H2cd zenon_H2ce zenon_Hdc zenon_H80 zenon_H2de zenon_Heb. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.66 apply (zenon_L1567_); trivial. % 1.48/1.66 apply (zenon_L1577_); trivial. % 1.48/1.66 (* end of lemma zenon_L1578_ *) % 1.48/1.66 assert (zenon_L1579_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (~(hskp26)) -> (~(hskp8)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H247 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hc7 zenon_H38 zenon_H37 zenon_Hc5 zenon_H7d. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.48/1.66 apply (zenon_L719_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.48/1.66 apply (zenon_L336_); trivial. % 1.48/1.66 apply (zenon_L68_); trivial. % 1.48/1.66 (* end of lemma zenon_L1579_ *) % 1.48/1.66 assert (zenon_L1580_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp26)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H46 zenon_H24c zenon_H245 zenon_Hc5 zenon_H7d zenon_Hc7 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.66 apply (zenon_L1168_); trivial. % 1.48/1.66 apply (zenon_L1579_); trivial. % 1.48/1.66 (* end of lemma zenon_L1580_ *) % 1.48/1.66 assert (zenon_L1581_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp26)) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H4d zenon_H24c zenon_H245 zenon_Hc5 zenon_H7d zenon_Hc7 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L297_); trivial. % 1.48/1.66 apply (zenon_L1580_); trivial. % 1.48/1.66 (* end of lemma zenon_L1581_ *) % 1.48/1.66 assert (zenon_L1582_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a456)) -> (c1_1 (a456)) -> (c0_1 (a456)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a492))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H236 zenon_H235 zenon_H234 zenon_Hdc zenon_H4a zenon_H38 zenon_H37 zenon_Hcf zenon_Hd0 zenon_H64 zenon_Hcd zenon_H10 zenon_H7d. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.48/1.66 apply (zenon_L719_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.48/1.66 apply (zenon_L336_); trivial. % 1.48/1.66 apply (zenon_L269_); trivial. % 1.48/1.66 (* end of lemma zenon_L1582_ *) % 1.48/1.66 assert (zenon_L1583_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp8)) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a437)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H247 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H7d zenon_Hcd zenon_Hd0 zenon_Hcf zenon_Hdc zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H4a zenon_H37 zenon_H38. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.66 apply (zenon_L1150_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.66 apply (zenon_L1582_); trivial. % 1.48/1.66 apply (zenon_L721_); trivial. % 1.48/1.66 (* end of lemma zenon_L1583_ *) % 1.48/1.66 assert (zenon_L1584_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H46 zenon_H24c zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdc zenon_H7d zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.66 apply (zenon_L1168_); trivial. % 1.48/1.66 apply (zenon_L1583_); trivial. % 1.48/1.66 (* end of lemma zenon_L1584_ *) % 1.48/1.66 assert (zenon_L1585_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H184 zenon_Heb zenon_H2de zenon_Hdc zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hc7 zenon_H7d zenon_H245 zenon_H24c zenon_H4d. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.66 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.66 apply (zenon_L1581_); trivial. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.66 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L297_); trivial. % 1.48/1.66 apply (zenon_L1584_); trivial. % 1.48/1.66 (* end of lemma zenon_L1585_ *) % 1.48/1.66 assert (zenon_L1586_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(hskp28)) -> False). % 1.48/1.66 do 0 intro. intros zenon_H247 zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H218 zenon_H217 zenon_H216 zenon_H31. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.48/1.66 apply (zenon_L747_); trivial. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H25 | zenon_intro zenon_H32 ]. % 1.48/1.66 apply (zenon_L268_); trivial. % 1.48/1.66 exact (zenon_H31 zenon_H32). % 1.48/1.66 (* end of lemma zenon_L1586_ *) % 1.48/1.66 assert (zenon_L1587_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp28)) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H24c zenon_H33 zenon_H31 zenon_H218 zenon_H217 zenon_H216 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c zenon_H1e zenon_H26 zenon_H245 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.66 apply (zenon_L335_); trivial. % 1.48/1.66 apply (zenon_L1586_); trivial. % 1.48/1.66 (* end of lemma zenon_L1587_ *) % 1.48/1.66 assert (zenon_L1588_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H46 zenon_H24c zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c zenon_H1e zenon_H26 zenon_H245 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.66 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.66 apply (zenon_L335_); trivial. % 1.48/1.66 apply (zenon_L1562_); trivial. % 1.48/1.66 (* end of lemma zenon_L1588_ *) % 1.48/1.66 assert (zenon_L1589_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(hskp26)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.48/1.66 do 0 intro. intros zenon_H4d zenon_H47 zenon_H231 zenon_Hc5 zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H245 zenon_H26 zenon_H1e zenon_H1c zenon_H2bd zenon_H2bc zenon_H2bb zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H24c. % 1.48/1.66 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.66 apply (zenon_L1587_); trivial. % 1.48/1.66 apply (zenon_L1588_); trivial. % 1.48/1.66 (* end of lemma zenon_L1589_ *) % 1.48/1.66 assert (zenon_L1590_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp8)) -> (~(c3_1 (a492))) -> (c1_1 (a492)) -> (c2_1 (a492)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H7d zenon_Hcd zenon_Hd0 zenon_Hcf zenon_Hdc zenon_H216 zenon_H217 zenon_H218 zenon_H1ad zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.67 apply (zenon_L1150_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.67 apply (zenon_L270_); trivial. % 1.48/1.67 apply (zenon_L721_); trivial. % 1.48/1.67 (* end of lemma zenon_L1590_ *) % 1.48/1.67 assert (zenon_L1591_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H4c zenon_Heb zenon_H2de zenon_Hdc zenon_H7d zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H190 zenon_H3 zenon_H24c zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H8a zenon_H8b zenon_H8c zenon_H231 zenon_H47 zenon_H4d. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.67 apply (zenon_L1589_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L309_); trivial. % 1.48/1.67 apply (zenon_L1590_); trivial. % 1.48/1.67 (* end of lemma zenon_L1591_ *) % 1.48/1.67 assert (zenon_L1592_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H95 zenon_H189 zenon_H88 zenon_H152 zenon_H80 zenon_H13e zenon_H103 zenon_H182 zenon_H185 zenon_Heb zenon_Hdc zenon_H9 zenon_H93 zenon_Hc7 zenon_H7d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H4d zenon_H47 zenon_H231 zenon_H245 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H24c zenon_H190 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1ad zenon_H2de zenon_H50. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.67 apply (zenon_L745_); trivial. % 1.48/1.67 apply (zenon_L1591_); trivial. % 1.48/1.67 apply (zenon_L130_); trivial. % 1.48/1.67 (* end of lemma zenon_L1592_ *) % 1.48/1.67 assert (zenon_L1593_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp20)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(hskp23)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H22b zenon_Hb zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c8 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H218 zenon_H216 zenon_H217 zenon_H9d zenon_H271 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H10 zenon_H1b2. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H6e | zenon_intro zenon_H272 ]. % 1.48/1.67 apply (zenon_L1232_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hc ]. % 1.48/1.67 apply (zenon_L719_); trivial. % 1.48/1.67 exact (zenon_Hb zenon_Hc). % 1.48/1.67 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.67 apply (zenon_L184_); trivial. % 1.48/1.67 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.67 (* end of lemma zenon_L1593_ *) % 1.48/1.67 assert (zenon_L1594_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(c1_1 (a449))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 1.48/1.67 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H93 zenon_H9 zenon_H8c zenon_H8b zenon_H8a zenon_Hba zenon_H1bc zenon_H1bb zenon_H1ba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.67 apply (zenon_L182_); trivial. % 1.48/1.67 apply (zenon_L39_); trivial. % 1.48/1.67 (* end of lemma zenon_L1594_ *) % 1.48/1.67 assert (zenon_L1595_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H98 zenon_H93 zenon_H9 zenon_H231 zenon_H1ad zenon_H50 zenon_H4d zenon_H24c zenon_H47 zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H190 zenon_H33 zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H10 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H1ca zenon_H1 zenon_Hba zenon_H202 zenon_H2d zenon_H130 zenon_H88 zenon_Hf1 zenon_H7d zenon_Hc7 zenon_Hdc zenon_H2de zenon_Heb zenon_H189. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_L1593_); trivial. % 1.48/1.67 apply (zenon_L783_); trivial. % 1.48/1.67 apply (zenon_L1577_); trivial. % 1.48/1.67 apply (zenon_L1585_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_L1593_); trivial. % 1.48/1.67 apply (zenon_L1594_); trivial. % 1.48/1.67 apply (zenon_L1591_); trivial. % 1.48/1.67 apply (zenon_L934_); trivial. % 1.48/1.67 (* end of lemma zenon_L1595_ *) % 1.48/1.67 assert (zenon_L1596_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_Heb zenon_H2de zenon_Hdc zenon_Hc7 zenon_H7d zenon_Hf1 zenon_H88 zenon_H130 zenon_Hba zenon_H1ca zenon_H271 zenon_H1c8 zenon_H1b2 zenon_H22b zenon_H190 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H24c zenon_H1ad zenon_H231 zenon_H93 zenon_H98 zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H7 zenon_H2d zenon_H202 zenon_H168. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.67 apply (zenon_L838_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.67 apply (zenon_L1595_); trivial. % 1.48/1.67 apply (zenon_L724_); trivial. % 1.48/1.67 (* end of lemma zenon_L1596_ *) % 1.48/1.67 assert (zenon_L1597_ : ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a456)) -> (c1_1 (a456)) -> (c0_1 (a456)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H236 zenon_H235 zenon_H234 zenon_H1c8 zenon_H4a zenon_H38 zenon_H37 zenon_H218 zenon_H216 zenon_H192 zenon_H217 zenon_H10 zenon_H9d. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.48/1.67 apply (zenon_L719_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.48/1.67 apply (zenon_L336_); trivial. % 1.48/1.67 apply (zenon_L311_); trivial. % 1.48/1.67 (* end of lemma zenon_L1597_ *) % 1.48/1.67 assert (zenon_L1598_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (~(c0_1 (a444))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c2_1 (a437)) -> (ndr1_0) -> (c0_1 (a437)) -> (c3_1 (a437)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H1f5 zenon_H1f4 zenon_H11e zenon_H1f3 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H4a zenon_H10 zenon_H37 zenon_H38. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.67 apply (zenon_L1150_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.67 apply (zenon_L325_); trivial. % 1.48/1.67 apply (zenon_L721_); trivial. % 1.48/1.67 (* end of lemma zenon_L1598_ *) % 1.48/1.67 assert (zenon_L1599_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c2_1 (a437)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H247 zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H38 zenon_H37 zenon_H4a zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2de zenon_H1b2. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.67 apply (zenon_L1597_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.67 apply (zenon_L1598_); trivial. % 1.48/1.67 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.67 (* end of lemma zenon_L1599_ *) % 1.48/1.67 assert (zenon_L1600_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H46 zenon_H24c zenon_H22b zenon_H1b2 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.67 apply (zenon_L1168_); trivial. % 1.48/1.67 apply (zenon_L1599_); trivial. % 1.48/1.67 (* end of lemma zenon_L1600_ *) % 1.48/1.67 assert (zenon_L1601_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2e0 zenon_H2d zenon_H202 zenon_Hba zenon_H22b zenon_H1b2 zenon_H3 zenon_H265 zenon_H10 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2de zenon_H24c zenon_H4d. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1234_); trivial. % 1.48/1.67 apply (zenon_L1600_); trivial. % 1.48/1.67 apply (zenon_L1575_); trivial. % 1.48/1.67 (* end of lemma zenon_L1601_ *) % 1.48/1.67 assert (zenon_L1602_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H4d zenon_H24c zenon_H22b zenon_H1b2 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c8 zenon_H9d zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L297_); trivial. % 1.48/1.67 apply (zenon_L1600_); trivial. % 1.48/1.67 (* end of lemma zenon_L1602_ *) % 1.48/1.67 assert (zenon_L1603_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H46 zenon_H24c zenon_H22b zenon_H1b2 zenon_H2da zenon_H2cd zenon_H2ce zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H245 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.67 apply (zenon_L335_); trivial. % 1.48/1.67 apply (zenon_L1599_); trivial. % 1.48/1.67 (* end of lemma zenon_L1603_ *) % 1.48/1.67 assert (zenon_L1604_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H216 zenon_H217 zenon_H218 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.48/1.67 apply (zenon_L1150_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.48/1.67 apply (zenon_L561_); trivial. % 1.48/1.67 apply (zenon_L721_); trivial. % 1.48/1.67 (* end of lemma zenon_L1604_ *) % 1.48/1.67 assert (zenon_L1605_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.67 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H161 zenon_H2ce zenon_H2cd zenon_H2da zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H217 zenon_H216 zenon_H218 zenon_H9d zenon_H1c8 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H265 zenon_H3 zenon_H1b2 zenon_H22b. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1234_); trivial. % 1.48/1.67 apply (zenon_L1604_); trivial. % 1.48/1.67 (* end of lemma zenon_L1605_ *) % 1.48/1.67 assert (zenon_L1606_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H95 zenon_H189 zenon_H152 zenon_H13e zenon_H182 zenon_H185 zenon_Heb zenon_H161 zenon_H22b zenon_H1b2 zenon_H265 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H231 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H24c zenon_H4d zenon_Hba zenon_H9 zenon_H93 zenon_H88 zenon_Hf1. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1234_); trivial. % 1.48/1.67 apply (zenon_L1603_); trivial. % 1.48/1.67 apply (zenon_L1605_); trivial. % 1.48/1.67 apply (zenon_L323_); trivial. % 1.48/1.67 apply (zenon_L813_); trivial. % 1.48/1.67 (* end of lemma zenon_L1606_ *) % 1.48/1.67 assert (zenon_L1607_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (c0_1 (a437)) -> (c3_1 (a437)) -> (c2_1 (a437)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(hskp5)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H247 zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H37 zenon_H38 zenon_H4a zenon_H1c8 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H1b2. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.67 apply (zenon_L1597_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.67 apply (zenon_L184_); trivial. % 1.48/1.67 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.67 (* end of lemma zenon_L1607_ *) % 1.48/1.67 assert (zenon_L1608_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H46 zenon_H24c zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.67 apply (zenon_L1168_); trivial. % 1.48/1.67 apply (zenon_L1607_); trivial. % 1.48/1.67 (* end of lemma zenon_L1608_ *) % 1.48/1.67 assert (zenon_L1609_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H46 zenon_H24c zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H245 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.67 apply (zenon_L335_); trivial. % 1.48/1.67 apply (zenon_L1607_); trivial. % 1.48/1.67 (* end of lemma zenon_L1609_ *) % 1.48/1.67 assert (zenon_L1610_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H189 zenon_H47 zenon_H33 zenon_H4d zenon_H24c zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H1ca zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H265 zenon_H1b2 zenon_H22b zenon_Hba zenon_H202 zenon_H2d zenon_H2de zenon_H2e0 zenon_H88 zenon_Hf1 zenon_H130 zenon_H231 zenon_H161 zenon_Heb zenon_H98. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1234_); trivial. % 1.48/1.67 apply (zenon_L1608_); trivial. % 1.48/1.67 apply (zenon_L1575_); trivial. % 1.48/1.67 apply (zenon_L934_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1234_); trivial. % 1.48/1.67 apply (zenon_L1609_); trivial. % 1.48/1.67 apply (zenon_L1605_); trivial. % 1.48/1.67 apply (zenon_L783_); trivial. % 1.48/1.67 apply (zenon_L934_); trivial. % 1.48/1.67 apply (zenon_L724_); trivial. % 1.48/1.67 (* end of lemma zenon_L1610_ *) % 1.48/1.67 assert (zenon_L1611_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H24c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H1ca zenon_H1c8 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H265 zenon_H1b2 zenon_H22b zenon_Hba zenon_H2de zenon_H2e0 zenon_H88 zenon_Hf1 zenon_H130 zenon_H231 zenon_H161 zenon_Heb zenon_H98 zenon_H189 zenon_H50 zenon_H4d zenon_H227 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H9 zenon_Hd zenon_H7 zenon_H2d zenon_H202 zenon_H168. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.67 apply (zenon_L838_); trivial. % 1.48/1.67 apply (zenon_L1610_); trivial. % 1.48/1.67 (* end of lemma zenon_L1611_ *) % 1.48/1.67 assert (zenon_L1612_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H33 zenon_H24c zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.67 apply (zenon_L751_); trivial. % 1.48/1.67 apply (zenon_L1564_); trivial. % 1.48/1.67 (* end of lemma zenon_L1612_ *) % 1.48/1.67 assert (zenon_L1613_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H33 zenon_H24c zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H1 zenon_H5 zenon_H7. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_L4_); trivial. % 1.48/1.67 apply (zenon_L1612_); trivial. % 1.48/1.67 (* end of lemma zenon_L1613_ *) % 1.48/1.67 assert (zenon_L1614_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H33 zenon_H24c zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H5 zenon_H7 zenon_H7d zenon_H103 zenon_H13e zenon_H80 zenon_H152 zenon_H88 zenon_H98. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.67 apply (zenon_L1613_); trivial. % 1.48/1.67 apply (zenon_L508_); trivial. % 1.48/1.67 apply (zenon_L724_); trivial. % 1.48/1.67 (* end of lemma zenon_L1614_ *) % 1.48/1.67 assert (zenon_L1615_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> (~(hskp22)) -> (~(hskp21)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a442)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H152 zenon_Hc0 zenon_Hbe zenon_Hbc zenon_H128 zenon_H126 zenon_H9d zenon_H10 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H253 zenon_H245 zenon_H4d. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.67 apply (zenon_L1103_); trivial. % 1.48/1.67 apply (zenon_L244_); trivial. % 1.48/1.67 (* end of lemma zenon_L1615_ *) % 1.48/1.67 assert (zenon_L1616_ : ((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H14d zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H10. zenon_intro zenon_H14f. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H145. zenon_intro zenon_H150. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H150). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.48/1.67 apply (zenon_L1150_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.48/1.67 apply (zenon_L777_); trivial. % 1.48/1.67 apply (zenon_L96_); trivial. % 1.48/1.67 (* end of lemma zenon_L1616_ *) % 1.48/1.67 assert (zenon_L1617_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a475))) -> (~(c1_1 (a475))) -> (c2_1 (a475)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H130 zenon_Hf6 zenon_Hf7 zenon_Hf8 zenon_H174 zenon_H176 zenon_H175 zenon_Hba zenon_H253 zenon_H254 zenon_H252 zenon_H210. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.67 apply (zenon_L414_); trivial. % 1.48/1.67 apply (zenon_L914_); trivial. % 1.48/1.67 (* end of lemma zenon_L1617_ *) % 1.48/1.67 assert (zenon_L1618_ : ((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a442)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H16e zenon_Hf1 zenon_H88 zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H130 zenon_Hba zenon_H253 zenon_H174 zenon_H176 zenon_H175 zenon_H128 zenon_H126 zenon_H254 zenon_H252 zenon_H210. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_L391_); trivial. % 1.48/1.67 apply (zenon_L1617_); trivial. % 1.48/1.67 (* end of lemma zenon_L1618_ *) % 1.48/1.67 assert (zenon_L1619_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a442)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H169 zenon_Hdc zenon_H7d zenon_Hf1 zenon_H88 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H2de zenon_Hba zenon_H2da zenon_H2cd zenon_H2ce zenon_H202 zenon_H2d zenon_H2e0 zenon_H4d zenon_H245 zenon_H253 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H10 zenon_H126 zenon_H128 zenon_Hc0 zenon_H152 zenon_H210 zenon_H175 zenon_H176 zenon_H174 zenon_H130 zenon_H16a. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_L1615_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L388_); trivial. % 1.48/1.67 apply (zenon_L890_); trivial. % 1.48/1.67 apply (zenon_L1616_); trivial. % 1.48/1.67 apply (zenon_L1574_); trivial. % 1.48/1.67 apply (zenon_L1618_); trivial. % 1.48/1.67 apply (zenon_L77_); trivial. % 1.48/1.67 (* end of lemma zenon_L1619_ *) % 1.48/1.67 assert (zenon_L1620_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp3)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H2ae zenon_H2d zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H10 zenon_H51. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.48/1.67 apply (zenon_L777_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.48/1.67 apply (zenon_L1460_); trivial. % 1.48/1.67 apply (zenon_L452_); trivial. % 1.48/1.67 (* end of lemma zenon_L1620_ *) % 1.48/1.67 assert (zenon_L1621_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (~(hskp24)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H247 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_Hba zenon_H4a zenon_H38 zenon_H37 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H51. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.48/1.67 apply (zenon_L719_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.48/1.67 apply (zenon_L336_); trivial. % 1.48/1.67 apply (zenon_L574_); trivial. % 1.48/1.67 (* end of lemma zenon_L1621_ *) % 1.48/1.67 assert (zenon_L1622_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H46 zenon_H24c zenon_H245 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.67 apply (zenon_L1168_); trivial. % 1.48/1.67 apply (zenon_L1621_); trivial. % 1.48/1.67 (* end of lemma zenon_L1622_ *) % 1.48/1.67 assert (zenon_L1623_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a484)) -> (~(c3_1 (a484))) -> (~(c2_1 (a484))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (ndr1_0) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H4d zenon_H24c zenon_H245 zenon_H2da zenon_H60 zenon_H2e2 zenon_H202 zenon_H2d zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H10 zenon_H33 zenon_H2ce zenon_H2cd zenon_H14 zenon_H13 zenon_H12 zenon_Hba zenon_H51 zenon_H254 zenon_H253 zenon_H252 zenon_H2ae. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1620_); trivial. % 1.48/1.67 apply (zenon_L1622_); trivial. % 1.48/1.67 (* end of lemma zenon_L1623_ *) % 1.48/1.67 assert (zenon_L1624_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(hskp3)) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c3_1 (a474))) -> (c0_1 (a474)) -> (c1_1 (a474)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H2ae zenon_H2d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H202 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H10 zenon_H108 zenon_H109 zenon_H10a. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H12d | zenon_intro zenon_H2af ]. % 1.48/1.67 apply (zenon_L777_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H89 | zenon_intro zenon_Hcc ]. % 1.48/1.67 apply (zenon_L1460_); trivial. % 1.48/1.67 apply (zenon_L76_); trivial. % 1.48/1.67 (* end of lemma zenon_L1624_ *) % 1.48/1.67 assert (zenon_L1625_ : ((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a450)) -> (c1_1 (a450)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H111 zenon_Hf1 zenon_H88 zenon_Heb zenon_H130 zenon_H1a7 zenon_H175 zenon_H176 zenon_Hba zenon_H2ae zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H24c zenon_H4d zenon_H1 zenon_H1ca zenon_H152 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_L185_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1624_); trivial. % 1.48/1.67 apply (zenon_L1125_); trivial. % 1.48/1.67 apply (zenon_L925_); trivial. % 1.48/1.67 apply (zenon_L640_); trivial. % 1.48/1.67 apply (zenon_L778_); trivial. % 1.48/1.67 (* end of lemma zenon_L1625_ *) % 1.48/1.67 assert (zenon_L1626_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H168 zenon_H189 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2ae zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H2cd zenon_H2ce zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H2e2 zenon_H2da zenon_H245 zenon_H24c zenon_H4d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H5 zenon_H7 zenon_H16a zenon_H174 zenon_H176 zenon_H175 zenon_H210 zenon_H152 zenon_Hc0 zenon_H13e zenon_H1ce zenon_H1ca zenon_H267 zenon_H231 zenon_H1a7 zenon_Heb zenon_H169 zenon_H98. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_L4_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_L185_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.67 apply (zenon_L1623_); trivial. % 1.48/1.67 apply (zenon_L778_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_L4_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_L185_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1620_); trivial. % 1.48/1.67 apply (zenon_L639_); trivial. % 1.48/1.67 apply (zenon_L244_); trivial. % 1.48/1.67 apply (zenon_L778_); trivial. % 1.48/1.67 apply (zenon_L1618_); trivial. % 1.48/1.67 apply (zenon_L1625_); trivial. % 1.48/1.67 apply (zenon_L724_); trivial. % 1.48/1.67 (* end of lemma zenon_L1626_ *) % 1.48/1.67 assert (zenon_L1627_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b6 zenon_H98 zenon_H169 zenon_Heb zenon_H1a7 zenon_H231 zenon_H267 zenon_H1ca zenon_H1ce zenon_H13e zenon_Hc0 zenon_H152 zenon_H210 zenon_H16a zenon_H7 zenon_H128 zenon_H126 zenon_H4d zenon_H24c zenon_H245 zenon_H2da zenon_H2e2 zenon_H33 zenon_H2ce zenon_H2cd zenon_Hba zenon_H2ae zenon_H130 zenon_H88 zenon_Hf1 zenon_H189 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H168. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.48/1.67 apply (zenon_L889_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.67 apply (zenon_L1626_); trivial. % 1.48/1.67 apply (zenon_L784_); trivial. % 1.48/1.67 (* end of lemma zenon_L1627_ *) % 1.48/1.67 assert (zenon_L1628_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c1_1 (a450)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25)))))) -> (~(c0_1 (a450))) -> (c3_1 (a450)) -> False). % 1.48/1.67 do 0 intro. intros zenon_H1a7 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H254 zenon_H253 zenon_H252 zenon_H11e zenon_H10 zenon_H176 zenon_Hde zenon_H174 zenon_H175. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hce | zenon_intro zenon_H1a8 ]. % 1.48/1.67 apply (zenon_L229_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_Hcc | zenon_intro zenon_H19d ]. % 1.48/1.67 apply (zenon_L365_); trivial. % 1.48/1.67 apply (zenon_L916_); trivial. % 1.48/1.67 (* end of lemma zenon_L1628_ *) % 1.48/1.67 assert (zenon_L1629_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (c1_1 (a450)) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H168 zenon_H189 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2ae zenon_Hba zenon_H2cd zenon_H2ce zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H2e2 zenon_H2da zenon_H245 zenon_H24c zenon_H4d zenon_H1a7 zenon_H175 zenon_H174 zenon_H176 zenon_H252 zenon_H253 zenon_H254 zenon_H126 zenon_H128 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H182 zenon_H185 zenon_H5 zenon_H7 zenon_H13e zenon_H1ca zenon_H152 zenon_H98. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.67 apply (zenon_L4_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.48/1.67 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.67 apply (zenon_L917_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.67 apply (zenon_L1623_); trivial. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.48/1.67 apply (zenon_L777_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.48/1.67 apply (zenon_L30_); trivial. % 1.48/1.67 apply (zenon_L1628_); trivial. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.48/1.67 apply (zenon_L9_); trivial. % 1.48/1.67 exact (zenon_H182 zenon_H183). % 1.48/1.67 apply (zenon_L814_); trivial. % 1.48/1.67 apply (zenon_L724_); trivial. % 1.48/1.67 (* end of lemma zenon_L1629_ *) % 1.48/1.67 assert (zenon_L1630_ : ((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a450)) -> (c1_1 (a450)) -> (~(c0_1 (a450))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H1b7 zenon_H168 zenon_H1b4 zenon_H1b2 zenon_H175 zenon_H176 zenon_H174 zenon_H2de zenon_H1ca zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H126 zenon_H128 zenon_H2ce zenon_H2cd zenon_H2da zenon_Hba zenon_H202 zenon_H2d zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2e0 zenon_H88 zenon_Hf1. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.67 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.67 apply (zenon_L1576_); trivial. % 1.48/1.67 apply (zenon_L168_); trivial. % 1.48/1.67 (* end of lemma zenon_L1630_ *) % 1.48/1.67 assert (zenon_L1631_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (c1_1 (a450)) -> (c3_1 (a450)) -> (~(c0_1 (a450))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H168 zenon_H202 zenon_H2d zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H33 zenon_H24c zenon_H271 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H176 zenon_H175 zenon_H174 zenon_H182 zenon_H185 zenon_H5 zenon_H7 zenon_H152 zenon_H218 zenon_H217 zenon_H216 zenon_H13e zenon_H267 zenon_H254 zenon_H253 zenon_H252 zenon_H1ce zenon_H227 zenon_H98. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.67 apply (zenon_L1613_); trivial. % 1.48/1.67 apply (zenon_L976_); trivial. % 1.48/1.67 apply (zenon_L724_); trivial. % 1.48/1.67 (* end of lemma zenon_L1631_ *) % 1.48/1.67 assert (zenon_L1632_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.67 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_Hdc zenon_H7d zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1b2 zenon_H22b. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.67 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L1319_); trivial. % 1.48/1.67 apply (zenon_L1590_); trivial. % 1.48/1.67 (* end of lemma zenon_L1632_ *) % 1.48/1.67 assert (zenon_L1633_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.67 do 0 intro. intros zenon_H4d zenon_H24c zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba. % 1.48/1.67 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.67 apply (zenon_L388_); trivial. % 1.48/1.67 apply (zenon_L1622_); trivial. % 1.48/1.67 (* end of lemma zenon_L1633_ *) % 1.48/1.67 assert (zenon_L1634_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2e0 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_H2d zenon_H202 zenon_Hba zenon_H4d zenon_H24c zenon_H245 zenon_H7d zenon_Hc7 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1b2 zenon_H22b zenon_H1ad zenon_Hdc zenon_H2de zenon_Heb. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1319_); trivial. % 1.48/1.68 apply (zenon_L1580_); trivial. % 1.48/1.68 apply (zenon_L1632_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.68 apply (zenon_L1633_); trivial. % 1.48/1.68 apply (zenon_L1574_); trivial. % 1.48/1.68 (* end of lemma zenon_L1634_ *) % 1.48/1.68 assert (zenon_L1635_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_Heb zenon_H2de zenon_Hdc zenon_H7d zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H22b zenon_H1b2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H217 zenon_H216 zenon_H218 zenon_H9d zenon_H1c8 zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H2bb zenon_H2bc zenon_H2bd zenon_H267 zenon_H13c zenon_H245 zenon_H24c zenon_H4d. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1319_); trivial. % 1.48/1.68 apply (zenon_L1125_); trivial. % 1.48/1.68 apply (zenon_L1632_); trivial. % 1.48/1.68 (* end of lemma zenon_L1635_ *) % 1.48/1.68 assert (zenon_L1636_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H46 zenon_H24c zenon_H245 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.48/1.68 apply (zenon_L335_); trivial. % 1.48/1.68 apply (zenon_L1621_); trivial. % 1.48/1.68 (* end of lemma zenon_L1636_ *) % 1.48/1.68 assert (zenon_L1637_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H4d zenon_H24c zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L388_); trivial. % 1.48/1.68 apply (zenon_L1636_); trivial. % 1.48/1.68 (* end of lemma zenon_L1637_ *) % 1.48/1.68 assert (zenon_L1638_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H50 zenon_H190 zenon_H33 zenon_H47 zenon_H152 zenon_H271 zenon_H4d zenon_H24c zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_H231 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1b2 zenon_H22b zenon_H2da zenon_H2cd zenon_H2ce zenon_H1ad zenon_H7d zenon_Hdc zenon_H2de zenon_Heb zenon_Hba zenon_H202 zenon_H2d zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_H88 zenon_Hf1. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.48/1.68 apply (zenon_L1635_); trivial. % 1.48/1.68 apply (zenon_L895_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.68 apply (zenon_L1637_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L388_); trivial. % 1.48/1.68 apply (zenon_L1590_); trivial. % 1.48/1.68 apply (zenon_L1574_); trivial. % 1.48/1.68 apply (zenon_L1591_); trivial. % 1.48/1.68 (* end of lemma zenon_L1638_ *) % 1.48/1.68 assert (zenon_L1639_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(hskp28)) -> (~(hskp19)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.48/1.68 do 0 intro. intros zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H31 zenon_H3 zenon_H1c8 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H10 zenon_H1b2. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.68 apply (zenon_L1318_); trivial. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.68 apply (zenon_L184_); trivial. % 1.48/1.68 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.68 (* end of lemma zenon_L1639_ *) % 1.48/1.68 assert (zenon_L1640_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H4d zenon_H24c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1639_); trivial. % 1.48/1.68 apply (zenon_L1608_); trivial. % 1.48/1.68 (* end of lemma zenon_L1640_ *) % 1.48/1.68 assert (zenon_L1641_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H189 zenon_H47 zenon_H33 zenon_H4d zenon_H24c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b zenon_H1ca zenon_H1 zenon_Hab zenon_Ha2 zenon_Ha3 zenon_Hba zenon_H202 zenon_H2d zenon_H130 zenon_H88 zenon_Hf1. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.68 apply (zenon_L1640_); trivial. % 1.48/1.68 apply (zenon_L783_); trivial. % 1.48/1.68 apply (zenon_L934_); trivial. % 1.48/1.68 (* end of lemma zenon_L1641_ *) % 1.48/1.68 assert (zenon_L1642_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H4d zenon_H24c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231 zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1639_); trivial. % 1.48/1.68 apply (zenon_L1609_); trivial. % 1.48/1.68 (* end of lemma zenon_L1642_ *) % 1.48/1.68 assert (zenon_L1643_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.68 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_Hdc zenon_H7d zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H1b2 zenon_H22b. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1639_); trivial. % 1.48/1.68 apply (zenon_L1590_); trivial. % 1.48/1.68 (* end of lemma zenon_L1643_ *) % 1.48/1.68 assert (zenon_L1644_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_Heb zenon_H2de zenon_Hdc zenon_H7d zenon_H1ad zenon_H2ce zenon_H2cd zenon_H2da zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H217 zenon_H216 zenon_H218 zenon_H9d zenon_H1c8 zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H24c zenon_H4d. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.68 apply (zenon_L1642_); trivial. % 1.48/1.68 apply (zenon_L1643_); trivial. % 1.48/1.68 (* end of lemma zenon_L1644_ *) % 1.48/1.68 assert (zenon_L1645_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b6 zenon_H24c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H1c8 zenon_H265 zenon_H1ca zenon_Hba zenon_H130 zenon_H88 zenon_Hf1 zenon_H231 zenon_H1ad zenon_H7d zenon_Hdc zenon_H2de zenon_Heb zenon_H98 zenon_H189 zenon_H4d zenon_H22b zenon_H1b2 zenon_H245 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7 zenon_H1b4 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H168. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.48/1.68 apply (zenon_L889_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.68 apply (zenon_L936_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.68 apply (zenon_L1641_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.68 apply (zenon_L1644_); trivial. % 1.48/1.68 apply (zenon_L783_); trivial. % 1.48/1.68 apply (zenon_L934_); trivial. % 1.48/1.68 apply (zenon_L168_); trivial. % 1.48/1.68 (* end of lemma zenon_L1645_ *) % 1.48/1.68 assert (zenon_L1646_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp23)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp19)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> False). % 1.48/1.68 do 0 intro. intros zenon_H22b zenon_H9d zenon_H217 zenon_H216 zenon_H218 zenon_H253 zenon_H254 zenon_H252 zenon_H1c8 zenon_H3 zenon_H31 zenon_H10 zenon_H1f4 zenon_H1f5 zenon_H265 zenon_H1b2. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.48/1.68 apply (zenon_L1318_); trivial. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.48/1.68 apply (zenon_L1120_); trivial. % 1.48/1.68 exact (zenon_H1b2 zenon_H1b3). % 1.48/1.68 (* end of lemma zenon_L1646_ *) % 1.48/1.68 assert (zenon_L1647_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c0_1 (a444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H4d zenon_H24c zenon_H1f3 zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1f5 zenon_H1f4 zenon_H1b2 zenon_H22b. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1646_); trivial. % 1.48/1.68 apply (zenon_L1600_); trivial. % 1.48/1.68 (* end of lemma zenon_L1647_ *) % 1.48/1.68 assert (zenon_L1648_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a444))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2e0 zenon_H2d zenon_H202 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H22b zenon_H1b2 zenon_H1f4 zenon_H1f5 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2de zenon_H1f3 zenon_H24c zenon_H4d. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.68 apply (zenon_L1647_); trivial. % 1.48/1.68 apply (zenon_L1575_); trivial. % 1.48/1.68 (* end of lemma zenon_L1648_ *) % 1.48/1.68 assert (zenon_L1649_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp14)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_Hf1 zenon_H88 zenon_H2e0 zenon_H2d zenon_H202 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H1 zenon_H1ca zenon_H4d zenon_H24c zenon_H2da zenon_H2cd zenon_H2ce zenon_H1f3 zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H8a zenon_H8b zenon_H8c zenon_H231 zenon_H1c8 zenon_H218 zenon_H216 zenon_H217 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H1f5 zenon_H1f4 zenon_H1b2 zenon_H22b zenon_H161 zenon_Heb. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1646_); trivial. % 1.48/1.68 apply (zenon_L1603_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1646_); trivial. % 1.48/1.68 apply (zenon_L1604_); trivial. % 1.48/1.68 apply (zenon_L1575_); trivial. % 1.48/1.68 (* end of lemma zenon_L1649_ *) % 1.48/1.68 assert (zenon_L1650_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_Heb zenon_H2de zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_H2ce zenon_H2cd zenon_H2da zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H217 zenon_H216 zenon_H218 zenon_H9d zenon_H1c8 zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H24c zenon_H4d. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.48/1.68 apply (zenon_L1642_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.48/1.68 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.48/1.68 apply (zenon_L1639_); trivial. % 1.48/1.68 apply (zenon_L1604_); trivial. % 1.48/1.68 (* end of lemma zenon_L1650_ *) % 1.48/1.68 assert (zenon_L1651_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b6 zenon_H24c zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H1c8 zenon_H265 zenon_H1ca zenon_Hba zenon_H130 zenon_H88 zenon_Hf1 zenon_H231 zenon_H161 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H2de zenon_Heb zenon_H98 zenon_H189 zenon_H4d zenon_H22b zenon_H1b2 zenon_H245 zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7 zenon_H1b4 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H168. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.48/1.68 apply (zenon_L889_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.68 apply (zenon_L936_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.48/1.68 apply (zenon_L1641_); trivial. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.48/1.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.48/1.68 apply (zenon_L1650_); trivial. % 1.48/1.68 apply (zenon_L783_); trivial. % 1.48/1.68 apply (zenon_L934_); trivial. % 1.48/1.68 apply (zenon_L168_); trivial. % 1.48/1.68 (* end of lemma zenon_L1651_ *) % 1.48/1.68 assert (zenon_L1652_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H98 zenon_Hf1 zenon_H88 zenon_H93 zenon_H13e zenon_H1ce zenon_Hba zenon_H1ca zenon_H152 zenon_H126 zenon_H128 zenon_H7 zenon_Hd zenon_H9 zenon_H24c zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H2d zenon_H202 zenon_H168. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.68 apply (zenon_L1571_); trivial. % 1.48/1.68 apply (zenon_L1359_); trivial. % 1.48/1.68 (* end of lemma zenon_L1652_ *) % 1.48/1.68 assert (zenon_L1653_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/((hskp24)\/(hskp8))) -> (~(hskp8)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.48/1.68 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H98 zenon_H88 zenon_H152 zenon_H80 zenon_H13e zenon_H103 zenon_H7d zenon_H7 zenon_H185 zenon_H182 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H271 zenon_H24c zenon_H33 zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H2d zenon_H202 zenon_H168. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.48/1.68 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.48/1.68 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.48/1.68 apply (zenon_L1614_); trivial. % 1.48/1.68 apply (zenon_L1359_); trivial. % 1.48/1.68 (* end of lemma zenon_L1653_ *) % 1.48/1.68 assert (zenon_L1654_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a474))/\((c1_1 (a474))/\(~(c3_1 (a474))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a475))/\((~(c0_1 (a475)))/\(~(c1_1 (a475))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b6 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H98 zenon_H169 zenon_Heb zenon_H1a7 zenon_H231 zenon_H267 zenon_H1ca zenon_H1ce zenon_H13e zenon_Hc0 zenon_H152 zenon_H210 zenon_H16a zenon_H7 zenon_H128 zenon_H126 zenon_H4d zenon_H24c zenon_H245 zenon_H2da zenon_H2e2 zenon_H33 zenon_H2ce zenon_H2cd zenon_Hba zenon_H2ae zenon_H130 zenon_H88 zenon_Hf1 zenon_H189 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H2d zenon_H202 zenon_H168. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.68 apply (zenon_L889_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.68 apply (zenon_L1626_); trivial. % 1.57/1.68 apply (zenon_L1359_); trivial. % 1.57/1.68 (* end of lemma zenon_L1654_ *) % 1.57/1.68 assert (zenon_L1655_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a437)) -> (c3_1 (a437)) -> (c0_1 (a437)) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H247 zenon_H2e6 zenon_H2ce zenon_H2cd zenon_H2da zenon_H4a zenon_H38 zenon_H37 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H27c zenon_H27d zenon_H27e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e7 ]. % 1.57/1.68 apply (zenon_L1150_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H27b ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1fe | zenon_intro zenon_H246 ]. % 1.57/1.68 apply (zenon_L719_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H233 | zenon_intro zenon_H1b ]. % 1.57/1.68 apply (zenon_L336_); trivial. % 1.57/1.68 apply (zenon_L154_); trivial. % 1.57/1.68 apply (zenon_L482_); trivial. % 1.57/1.68 (* end of lemma zenon_L1655_ *) % 1.57/1.68 assert (zenon_L1656_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H46 zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.57/1.68 apply (zenon_L1168_); trivial. % 1.57/1.68 apply (zenon_L1655_); trivial. % 1.57/1.68 (* end of lemma zenon_L1656_ *) % 1.57/1.68 assert (zenon_L1657_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H184 zenon_H4d zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.68 apply (zenon_L297_); trivial. % 1.57/1.68 apply (zenon_L1656_); trivial. % 1.57/1.68 (* end of lemma zenon_L1657_ *) % 1.57/1.68 assert (zenon_L1658_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H189 zenon_H4d zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H1 zenon_H5 zenon_H7. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.68 apply (zenon_L4_); trivial. % 1.57/1.68 apply (zenon_L1657_); trivial. % 1.57/1.68 (* end of lemma zenon_L1658_ *) % 1.57/1.68 assert (zenon_L1659_ : ((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H7f zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.57/1.68 apply (zenon_L1150_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.57/1.68 apply (zenon_L568_); trivial. % 1.57/1.68 apply (zenon_L736_); trivial. % 1.57/1.68 (* end of lemma zenon_L1659_ *) % 1.57/1.68 assert (zenon_L1660_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (ndr1_0) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H85 zenon_H2e0 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H10 zenon_H55 zenon_H56 zenon_H57 zenon_H60 zenon_H62. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.57/1.68 apply (zenon_L29_); trivial. % 1.57/1.68 apply (zenon_L1659_); trivial. % 1.57/1.68 (* end of lemma zenon_L1660_ *) % 1.57/1.68 assert (zenon_L1661_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(hskp6)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H168 zenon_H2ac zenon_H62 zenon_H85 zenon_H189 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H24c zenon_H9 zenon_Hd zenon_H5 zenon_H7 zenon_H152 zenon_H2e0 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H13e zenon_H190 zenon_H182 zenon_H185 zenon_H98. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.68 apply (zenon_L1565_); trivial. % 1.57/1.68 apply (zenon_L1472_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.68 apply (zenon_L1660_); trivial. % 1.57/1.68 apply (zenon_L1454_); trivial. % 1.57/1.68 (* end of lemma zenon_L1661_ *) % 1.57/1.68 assert (zenon_L1662_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp19)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp24)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a3 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H3 zenon_H31 zenon_H10 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H51. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.57/1.68 apply (zenon_L1150_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.57/1.68 apply (zenon_L568_); trivial. % 1.57/1.68 apply (zenon_L675_); trivial. % 1.57/1.68 (* end of lemma zenon_L1662_ *) % 1.57/1.68 assert (zenon_L1663_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H88 zenon_H4d zenon_H24c zenon_H245 zenon_H7d zenon_Hc7 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H60 zenon_H2e2 zenon_H10 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_H3 zenon_H265 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_Hdc zenon_H2de zenon_Heb. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.68 apply (zenon_L1662_); trivial. % 1.57/1.68 apply (zenon_L1580_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.68 apply (zenon_L1662_); trivial. % 1.57/1.68 apply (zenon_L1584_); trivial. % 1.57/1.68 apply (zenon_L1475_); trivial. % 1.57/1.68 (* end of lemma zenon_L1663_ *) % 1.57/1.68 assert (zenon_L1664_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a432))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(hskp28)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H2e0 zenon_H2de zenon_H2da zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H2ce zenon_H2cd zenon_H31 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H10 zenon_Hab zenon_Ha2 zenon_Ha3. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2e1 ]. % 1.57/1.68 apply (zenon_L1150_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H12d | zenon_intro zenon_H6e ]. % 1.57/1.68 apply (zenon_L568_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.57/1.68 apply (zenon_L1150_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.57/1.68 apply (zenon_L1461_); trivial. % 1.57/1.68 apply (zenon_L53_); trivial. % 1.57/1.68 (* end of lemma zenon_L1664_ *) % 1.57/1.68 assert (zenon_L1665_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_Hed zenon_H4d zenon_H24c zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdc zenon_H7d zenon_H245 zenon_H60 zenon_H2e2 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2de zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H2ae zenon_H2e0. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.68 apply (zenon_L1664_); trivial. % 1.57/1.68 apply (zenon_L1584_); trivial. % 1.57/1.68 (* end of lemma zenon_L1665_ *) % 1.57/1.68 assert (zenon_L1666_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H46 zenon_H24c zenon_H245 zenon_H7d zenon_Hc7 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.57/1.68 apply (zenon_L335_); trivial. % 1.57/1.68 apply (zenon_L1579_); trivial. % 1.57/1.68 (* end of lemma zenon_L1666_ *) % 1.57/1.68 assert (zenon_L1667_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H88 zenon_H4d zenon_H24c zenon_H245 zenon_H7d zenon_Hc7 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_H231 zenon_H10 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_H3 zenon_H265 zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_H93 zenon_H9 zenon_H2ae zenon_Heb. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.68 apply (zenon_L1662_); trivial. % 1.57/1.68 apply (zenon_L1666_); trivial. % 1.57/1.68 apply (zenon_L586_); trivial. % 1.57/1.68 apply (zenon_L39_); trivial. % 1.57/1.68 (* end of lemma zenon_L1667_ *) % 1.57/1.68 assert (zenon_L1668_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp28)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp13)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H247 zenon_H1ce zenon_H8c zenon_H8b zenon_H8a zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H31 zenon_H1c zenon_H1e zenon_H26 zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H5. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.57/1.68 apply (zenon_L746_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.57/1.68 apply (zenon_L436_); trivial. % 1.57/1.68 exact (zenon_H5 zenon_H6). % 1.57/1.68 (* end of lemma zenon_L1668_ *) % 1.57/1.68 assert (zenon_L1669_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(hskp26)) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H4d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba zenon_H231 zenon_Hc5 zenon_H8c zenon_H8b zenon_H8a zenon_H10 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H26 zenon_H1e zenon_H1c zenon_H14 zenon_H13 zenon_H12 zenon_H5 zenon_H1ce zenon_H24c. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.57/1.68 apply (zenon_L335_); trivial. % 1.57/1.68 apply (zenon_L1668_); trivial. % 1.57/1.68 apply (zenon_L1636_); trivial. % 1.57/1.68 (* end of lemma zenon_L1669_ *) % 1.57/1.68 assert (zenon_L1670_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp13)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H4c zenon_Hf1 zenon_H88 zenon_H4d zenon_Hba zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H14 zenon_H13 zenon_H12 zenon_H5 zenon_H1ce zenon_H24c zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H130 zenon_Heb zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.68 apply (zenon_L185_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.68 apply (zenon_L1669_); trivial. % 1.57/1.68 apply (zenon_L611_); trivial. % 1.57/1.68 apply (zenon_L592_); trivial. % 1.57/1.68 (* end of lemma zenon_L1670_ *) % 1.57/1.68 assert (zenon_L1671_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H184 zenon_H50 zenon_Hf1 zenon_H88 zenon_H4d zenon_Hba zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H33 zenon_H1ce zenon_H24c zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H130 zenon_Heb zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H9 zenon_H5 zenon_Hd. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.68 apply (zenon_L7_); trivial. % 1.57/1.68 apply (zenon_L1670_); trivial. % 1.57/1.68 (* end of lemma zenon_L1671_ *) % 1.57/1.68 assert (zenon_L1672_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp14)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H98 zenon_Hf1 zenon_H88 zenon_Hba zenon_H231 zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H130 zenon_Heb zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H7 zenon_H5 zenon_H1 zenon_Hd zenon_H9 zenon_H24c zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H47 zenon_H4d zenon_H50 zenon_H189. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.68 apply (zenon_L1565_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.68 apply (zenon_L4_); trivial. % 1.57/1.68 apply (zenon_L1671_); trivial. % 1.57/1.68 (* end of lemma zenon_L1672_ *) % 1.57/1.68 assert (zenon_L1673_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp13))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H2e0 zenon_H98 zenon_Hf1 zenon_H88 zenon_Hba zenon_H231 zenon_H1ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H130 zenon_Heb zenon_H126 zenon_H128 zenon_H7 zenon_Hd zenon_H9 zenon_H24c zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_He7 zenon_H16b zenon_H168. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.68 apply (zenon_L1672_); trivial. % 1.57/1.68 apply (zenon_L597_); trivial. % 1.57/1.68 apply (zenon_L1467_); trivial. % 1.57/1.68 (* end of lemma zenon_L1673_ *) % 1.57/1.68 assert (zenon_L1674_ : ((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp11)) -> False). % 1.57/1.68 do 0 intro. intros zenon_H247 zenon_H185 zenon_H8c zenon_H8b zenon_H8a zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H14 zenon_H13 zenon_H12 zenon_H182. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hde | zenon_intro zenon_H188 ]. % 1.57/1.68 apply (zenon_L746_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H183 ]. % 1.57/1.68 apply (zenon_L9_); trivial. % 1.57/1.68 exact (zenon_H182 zenon_H183). % 1.57/1.68 (* end of lemma zenon_L1674_ *) % 1.57/1.68 assert (zenon_L1675_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (ndr1_0) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H24c zenon_H185 zenon_H182 zenon_H14 zenon_H13 zenon_H12 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H10 zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.57/1.68 apply (zenon_L335_); trivial. % 1.57/1.68 apply (zenon_L1674_); trivial. % 1.57/1.68 (* end of lemma zenon_L1675_ *) % 1.57/1.68 assert (zenon_L1676_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H8a zenon_H8b zenon_H8c zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.57/1.68 apply (zenon_L1150_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.57/1.68 apply (zenon_L610_); trivial. % 1.57/1.68 apply (zenon_L721_); trivial. % 1.57/1.68 (* end of lemma zenon_L1676_ *) % 1.57/1.68 assert (zenon_L1677_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.57/1.68 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H8a zenon_H8b zenon_H8c zenon_H2ae zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.57/1.68 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.68 apply (zenon_L297_); trivial. % 1.57/1.68 apply (zenon_L1676_); trivial. % 1.57/1.68 (* end of lemma zenon_L1677_ *) % 1.57/1.68 assert (zenon_L1678_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H184 zenon_Heb zenon_H4d zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H2ce zenon_H2cd zenon_H2da zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H182 zenon_H185 zenon_H24c. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.68 apply (zenon_L1675_); trivial. % 1.57/1.68 apply (zenon_L1677_); trivial. % 1.57/1.68 (* end of lemma zenon_L1678_ *) % 1.57/1.68 assert (zenon_L1679_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H50 zenon_H4d zenon_H24c zenon_H47 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2ac zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.68 apply (zenon_L1000_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.68 apply (zenon_L1062_); trivial. % 1.57/1.68 apply (zenon_L1563_); trivial. % 1.57/1.68 (* end of lemma zenon_L1679_ *) % 1.57/1.68 assert (zenon_L1680_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp12)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> False). % 1.57/1.68 do 0 intro. intros zenon_H95 zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H231 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2b zenon_H26f zenon_H24c. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.68 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.57/1.68 apply (zenon_L335_); trivial. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.57/1.68 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_Hde | zenon_intro zenon_H270 ]. % 1.57/1.68 apply (zenon_L746_); trivial. % 1.57/1.68 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2c ]. % 1.57/1.68 apply (zenon_L719_); trivial. % 1.57/1.68 exact (zenon_H2b zenon_H2c). % 1.57/1.68 apply (zenon_L611_); trivial. % 1.57/1.68 (* end of lemma zenon_L1680_ *) % 1.57/1.68 assert (zenon_L1681_ : ((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1d1 zenon_H1b6 zenon_Hf1 zenon_H88 zenon_H130 zenon_Hba zenon_H2e0 zenon_H1c8 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2ce zenon_H2cd zenon_H2da zenon_H189 zenon_H4d zenon_H22b zenon_H1b2 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7 zenon_H1b4 zenon_H168. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.69 apply (zenon_L936_); trivial. % 1.57/1.69 apply (zenon_L1484_); trivial. % 1.57/1.69 (* end of lemma zenon_L1681_ *) % 1.57/1.69 assert (zenon_L1682_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp12))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1b4 zenon_H168 zenon_H98 zenon_Heb zenon_H130 zenon_H2ae zenon_H231 zenon_H26f zenon_H85 zenon_H271 zenon_H62 zenon_H2ac zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H24c zenon_H50 zenon_H7 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H1b2 zenon_H22b zenon_H4d zenon_H189 zenon_H1c8 zenon_H2e0 zenon_Hba zenon_H88 zenon_Hf1 zenon_H1b6. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.69 apply (zenon_L935_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.69 apply (zenon_L1679_); trivial. % 1.57/1.69 apply (zenon_L1680_); trivial. % 1.57/1.69 apply (zenon_L1484_); trivial. % 1.57/1.69 apply (zenon_L1681_); trivial. % 1.57/1.69 (* end of lemma zenon_L1682_ *) % 1.57/1.69 assert (zenon_L1683_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (c2_1 (a486)) -> (c1_1 (a486)) -> (~(c0_1 (a486))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H46 zenon_H2de zenon_H2ce zenon_H2cd zenon_H2da zenon_H67 zenon_H66 zenon_H65 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2df ]. % 1.57/1.69 apply (zenon_L1150_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H64 | zenon_intro zenon_H35 ]. % 1.57/1.69 apply (zenon_L30_); trivial. % 1.57/1.69 apply (zenon_L721_); trivial. % 1.57/1.69 (* end of lemma zenon_L1683_ *) % 1.57/1.69 assert (zenon_L1684_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H3 zenon_H1f5 zenon_H1f4 zenon_H130. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L1143_); trivial. % 1.57/1.69 apply (zenon_L1683_); trivial. % 1.57/1.69 (* end of lemma zenon_L1684_ *) % 1.57/1.69 assert (zenon_L1685_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H265 zenon_H3 zenon_H1f5 zenon_H1f4 zenon_H130 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_L1465_); trivial. % 1.57/1.69 apply (zenon_L1684_); trivial. % 1.57/1.69 (* end of lemma zenon_L1685_ *) % 1.57/1.69 assert (zenon_L1686_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ce zenon_H2cd zenon_H2da zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L297_); trivial. % 1.57/1.69 apply (zenon_L1683_); trivial. % 1.57/1.69 (* end of lemma zenon_L1686_ *) % 1.57/1.69 assert (zenon_L1687_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_L1465_); trivial. % 1.57/1.69 apply (zenon_L1686_); trivial. % 1.57/1.69 (* end of lemma zenon_L1687_ *) % 1.57/1.69 assert (zenon_L1688_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c3_1 (a451)) -> (c2_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H184 zenon_Hf1 zenon_H88 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_Ha3 zenon_Ha2 zenon_Hab zenon_H2e0 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H1c8 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2de zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1b2 zenon_H22b zenon_H24c zenon_H4d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.69 apply (zenon_L1602_); trivial. % 1.57/1.69 apply (zenon_L1687_); trivial. % 1.57/1.69 (* end of lemma zenon_L1688_ *) % 1.57/1.69 assert (zenon_L1689_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a463))/\((c2_1 (a463))/\(~(c1_1 (a463))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1de zenon_H1b6 zenon_H2e0 zenon_H2ce zenon_H2cd zenon_H2da zenon_H189 zenon_H4d zenon_H22b zenon_H1b2 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H7 zenon_H16b zenon_H50 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H1c8 zenon_H62 zenon_H271 zenon_H85 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_He7 zenon_H1b4 zenon_H98 zenon_H168. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.69 apply (zenon_L1072_); trivial. % 1.57/1.69 apply (zenon_L1484_); trivial. % 1.57/1.69 (* end of lemma zenon_L1689_ *) % 1.57/1.69 assert (zenon_L1690_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hed zenon_H4d zenon_H24c zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdc zenon_H7d zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L650_); trivial. % 1.57/1.69 apply (zenon_L1584_); trivial. % 1.57/1.69 (* end of lemma zenon_L1690_ *) % 1.57/1.69 assert (zenon_L1691_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H130. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L653_); trivial. % 1.57/1.69 apply (zenon_L1683_); trivial. % 1.57/1.69 (* end of lemma zenon_L1691_ *) % 1.57/1.69 assert (zenon_L1692_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(hskp8)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H88 zenon_H2a3 zenon_H130 zenon_H4d zenon_H24c zenon_H245 zenon_H7d zenon_Hc7 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_Hdc zenon_H2de zenon_Heb. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L650_); trivial. % 1.57/1.69 apply (zenon_L1580_); trivial. % 1.57/1.69 apply (zenon_L1690_); trivial. % 1.57/1.69 apply (zenon_L1691_); trivial. % 1.57/1.69 (* end of lemma zenon_L1692_ *) % 1.57/1.69 assert (zenon_L1693_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a492)) -> (c1_1 (a492)) -> (~(c3_1 (a492))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (~(hskp28)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> False). % 1.57/1.69 do 0 intro. intros zenon_H130 zenon_Hcf zenon_Hd0 zenon_Hcd zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H31 zenon_H2cd zenon_H2ce zenon_H12 zenon_H13 zenon_H14 zenon_H33 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.57/1.69 apply (zenon_L568_); trivial. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H64 | zenon_intro zenon_H11e ]. % 1.57/1.69 apply (zenon_L1461_); trivial. % 1.57/1.69 apply (zenon_L1551_); trivial. % 1.57/1.69 (* end of lemma zenon_L1693_ *) % 1.57/1.69 assert (zenon_L1694_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hed zenon_H4d zenon_H24c zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hdc zenon_H7d zenon_H245 zenon_H2da zenon_H60 zenon_H2e2 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H254 zenon_H253 zenon_H252 zenon_H130. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L1693_); trivial. % 1.57/1.69 apply (zenon_L1584_); trivial. % 1.57/1.69 (* end of lemma zenon_L1694_ *) % 1.57/1.69 assert (zenon_L1695_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(hskp23)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> (ndr1_0) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a432))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((hskp26)\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Heb zenon_H2de zenon_Hdc zenon_H130 zenon_H2ae zenon_H252 zenon_H253 zenon_H254 zenon_H9d zenon_H126 zenon_H128 zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H10 zenon_H2e2 zenon_H60 zenon_H2da zenon_H2bb zenon_H2bc zenon_H2bd zenon_Hc7 zenon_H7d zenon_H245 zenon_H24c zenon_H4d. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L1511_); trivial. % 1.57/1.69 apply (zenon_L1580_); trivial. % 1.57/1.69 apply (zenon_L1694_); trivial. % 1.57/1.69 (* end of lemma zenon_L1695_ *) % 1.57/1.69 assert (zenon_L1696_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H84 zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H254 zenon_H253 zenon_H252 zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H130. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L1552_); trivial. % 1.57/1.69 apply (zenon_L1683_); trivial. % 1.57/1.69 (* end of lemma zenon_L1696_ *) % 1.57/1.69 assert (zenon_L1697_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c3_1 (a442))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a432))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2de zenon_H130 zenon_H2ae zenon_H252 zenon_H253 zenon_H254 zenon_Hba zenon_H12 zenon_H13 zenon_H14 zenon_H2cd zenon_H2ce zenon_H33 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2e2 zenon_H60 zenon_H2da zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H24c zenon_H4d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L1515_); trivial. % 1.57/1.69 apply (zenon_L1622_); trivial. % 1.57/1.69 apply (zenon_L1696_); trivial. % 1.57/1.69 (* end of lemma zenon_L1697_ *) % 1.57/1.69 assert (zenon_L1698_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a435))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2a3 zenon_H8a zenon_H8b zenon_H8c zenon_H2ae zenon_H2ce zenon_H2cd zenon_H2da zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L650_); trivial. % 1.57/1.69 apply (zenon_L1676_); trivial. % 1.57/1.69 (* end of lemma zenon_L1698_ *) % 1.57/1.69 assert (zenon_L1699_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/(hskp25))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H95 zenon_H189 zenon_H13e zenon_H182 zenon_H185 zenon_H152 zenon_H2e0 zenon_H4d zenon_H24c zenon_H245 zenon_H267 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H231 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H2da zenon_H2cd zenon_H2ce zenon_H2ae zenon_H2a3 zenon_H2de zenon_Heb zenon_H130 zenon_H88. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_L1126_); trivial. % 1.57/1.69 apply (zenon_L1698_); trivial. % 1.57/1.69 apply (zenon_L1451_); trivial. % 1.57/1.69 apply (zenon_L1691_); trivial. % 1.57/1.69 apply (zenon_L1471_); trivial. % 1.57/1.69 (* end of lemma zenon_L1699_ *) % 1.57/1.69 assert (zenon_L1700_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> (c0_1 (a472)) -> (c3_1 (a472)) -> (~(c2_1 (a472))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (~(c2_1 (a484))) -> (~(c3_1 (a484))) -> (c1_1 (a484)) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4d zenon_H24c zenon_H47 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c zenon_H1e zenon_H26 zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H51 zenon_Hba. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L388_); trivial. % 1.57/1.69 apply (zenon_L1563_); trivial. % 1.57/1.69 (* end of lemma zenon_L1700_ *) % 1.57/1.69 assert (zenon_L1701_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H26 zenon_H1e zenon_H1c zenon_H2bd zenon_H2bc zenon_H2bb zenon_H47 zenon_H24c zenon_H4d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_L1700_); trivial. % 1.57/1.69 apply (zenon_L1691_); trivial. % 1.57/1.69 (* end of lemma zenon_L1701_ *) % 1.57/1.69 assert (zenon_L1702_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H50 zenon_Hf1 zenon_H88 zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H47 zenon_H24c zenon_H4d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H10 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.69 apply (zenon_L1000_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.69 apply (zenon_L185_); trivial. % 1.57/1.69 apply (zenon_L1701_); trivial. % 1.57/1.69 (* end of lemma zenon_L1702_ *) % 1.57/1.69 assert (zenon_L1703_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a452)) -> (c0_1 (a452)) -> (~(c2_1 (a452))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H184 zenon_H50 zenon_H4d zenon_H47 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H33 zenon_H24c zenon_H62 zenon_H60 zenon_H57 zenon_H56 zenon_H55 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.69 apply (zenon_L1000_); trivial. % 1.57/1.69 apply (zenon_L1564_); trivial. % 1.57/1.69 (* end of lemma zenon_L1703_ *) % 1.57/1.69 assert (zenon_L1704_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H8a zenon_H8b zenon_H8c zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H2ae. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_L1085_); trivial. % 1.57/1.69 apply (zenon_L592_); trivial. % 1.57/1.69 (* end of lemma zenon_L1704_ *) % 1.57/1.69 assert (zenon_L1705_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H95 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_Hba zenon_H254 zenon_H253 zenon_H252 zenon_H2ae zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.69 apply (zenon_L185_); trivial. % 1.57/1.69 apply (zenon_L1704_); trivial. % 1.57/1.69 (* end of lemma zenon_L1705_ *) % 1.57/1.69 assert (zenon_L1706_ : ((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H165 zenon_H98 zenon_H2ae zenon_H50 zenon_Hf1 zenon_H88 zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H130 zenon_Hba zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H47 zenon_H24c zenon_H4d zenon_H1ba zenon_H1bc zenon_H1bb zenon_H126 zenon_H128 zenon_H62 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H271 zenon_H85 zenon_H33 zenon_H189. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_L1702_); trivial. % 1.57/1.69 apply (zenon_L1703_); trivial. % 1.57/1.69 apply (zenon_L1705_); trivial. % 1.57/1.69 (* end of lemma zenon_L1706_ *) % 1.57/1.69 assert (zenon_L1707_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a450))/\((c3_1 (a450))/\(~(c0_1 (a450))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X66 : zenon_U, ((ndr1_0)->((~(c1_1 X66))\/((~(c2_1 X66))\/(~(c3_1 X66)))))))) -> ((forall X109 : zenon_U, ((ndr1_0)->((c3_1 X109)\/((~(c0_1 X109))\/(~(c2_1 X109))))))\/((hskp14)\/(hskp12))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1de zenon_H1d0 zenon_H1a7 zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H189 zenon_H33 zenon_H85 zenon_H271 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H62 zenon_H128 zenon_H126 zenon_H4d zenon_H24c zenon_H47 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H265 zenon_Hba zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H2de zenon_H88 zenon_Hf1 zenon_H50 zenon_H2ae zenon_H98 zenon_H168. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.69 apply (zenon_L348_); trivial. % 1.57/1.69 apply (zenon_L1706_); trivial. % 1.57/1.69 apply (zenon_L668_); trivial. % 1.57/1.69 (* end of lemma zenon_L1707_ *) % 1.57/1.69 assert (zenon_L1708_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a443)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4d zenon_H24c zenon_H22b zenon_H1b2 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H1c8 zenon_H9d zenon_H218 zenon_H216 zenon_H217 zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L650_); trivial. % 1.57/1.69 apply (zenon_L1600_); trivial. % 1.57/1.69 (* end of lemma zenon_L1708_ *) % 1.57/1.69 assert (zenon_L1709_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> (~(hskp23)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H88 zenon_H2a3 zenon_H130 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H217 zenon_H216 zenon_H218 zenon_H9d zenon_H1c8 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H2de zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1b2 zenon_H22b zenon_H24c zenon_H4d. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_L1708_); trivial. % 1.57/1.69 apply (zenon_L1691_); trivial. % 1.57/1.69 (* end of lemma zenon_L1709_ *) % 1.57/1.69 assert (zenon_L1710_ : ((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c2_1 (a444)) -> (~(c3_1 (a444))) -> (~(c0_1 (a444))) -> (~(c1_1 (a449))) -> (~(c3_1 (a449))) -> (c2_1 (a449)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hf2 zenon_H88 zenon_H4d zenon_H24c zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H8a zenon_H8b zenon_H8c zenon_H231 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_Hba zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H161 zenon_H218 zenon_H217 zenon_H216 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H1ba zenon_H1bc zenon_H1bb zenon_H130 zenon_Heb. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_L1637_); trivial. % 1.57/1.69 apply (zenon_L1499_); trivial. % 1.57/1.69 apply (zenon_L592_); trivial. % 1.57/1.69 (* end of lemma zenon_L1710_ *) % 1.57/1.69 assert (zenon_L1711_ : ((ndr1_0)/\((c2_1 (a449))/\((~(c1_1 (a449)))/\(~(c3_1 (a449)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a444))) -> (~(c3_1 (a444))) -> (c2_1 (a444)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a484))/\((~(c2_1 (a484)))/\(~(c3_1 (a484))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (c3_1 (a443)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/(hskp23))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1de zenon_H98 zenon_Heb zenon_H2ae zenon_H231 zenon_H1f3 zenon_H1f4 zenon_H1f5 zenon_H161 zenon_Hf1 zenon_H88 zenon_H130 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_Hba zenon_H22b zenon_H1b2 zenon_H265 zenon_H253 zenon_H254 zenon_H252 zenon_H217 zenon_H216 zenon_H218 zenon_H1c8 zenon_H2e2 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H24c zenon_H4d zenon_H33 zenon_H47 zenon_H189. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.69 apply (zenon_L1640_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_L1633_); trivial. % 1.57/1.69 apply (zenon_L592_); trivial. % 1.57/1.69 apply (zenon_L934_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_L1642_); trivial. % 1.57/1.69 apply (zenon_L611_); trivial. % 1.57/1.69 apply (zenon_L1710_); trivial. % 1.57/1.69 apply (zenon_L934_); trivial. % 1.57/1.69 (* end of lemma zenon_L1711_ *) % 1.57/1.69 assert (zenon_L1712_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a451))/\((c3_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((hskp14)\/((hskp19)\/(hskp13))) -> ((hskp6)\/((hskp20)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a447))/\((c2_1 (a447))/\(c3_1 (a447)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp29)\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a452))/\((c1_1 (a452))/\(~(c2_1 (a452))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H1b6 zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H98 zenon_H185 zenon_H182 zenon_H190 zenon_H13e zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2e0 zenon_H152 zenon_H7 zenon_Hd zenon_H9 zenon_H24c zenon_H33 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H2e2 zenon_H47 zenon_H4d zenon_H50 zenon_H189 zenon_H85 zenon_H62 zenon_H2ac zenon_H168. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.69 apply (zenon_L1661_); trivial. % 1.57/1.69 apply (zenon_L1359_); trivial. % 1.57/1.69 (* end of lemma zenon_L1712_ *) % 1.57/1.69 assert (zenon_L1713_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> (~(hskp14)) -> (~(hskp13)) -> ((hskp14)\/((hskp19)\/(hskp13))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H95 zenon_H189 zenon_Heb zenon_H4d zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H2ce zenon_H2cd zenon_H2da zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H231 zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H182 zenon_H185 zenon_H24c zenon_H1 zenon_H5 zenon_H7. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_L4_); trivial. % 1.57/1.69 apply (zenon_L1678_); trivial. % 1.57/1.69 (* end of lemma zenon_L1713_ *) % 1.57/1.69 assert (zenon_L1714_ : ((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c2_1 (a452))) -> (c0_1 (a452)) -> (c1_1 (a452)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c2_1 (a472))) -> (c3_1 (a472)) -> (c0_1 (a472)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_Hed zenon_H4d zenon_H2de zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H8a zenon_H8b zenon_H8c zenon_H2ae zenon_H2ce zenon_H2cd zenon_H2da zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H55 zenon_H56 zenon_H57 zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H26 zenon_H1e zenon_H1c zenon_H2ac. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L1062_); trivial. % 1.57/1.69 apply (zenon_L1676_); trivial. % 1.57/1.69 (* end of lemma zenon_L1714_ *) % 1.57/1.69 assert (zenon_L1715_ : ((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4c zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H24c zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H8a zenon_H8b zenon_H8c zenon_H231 zenon_H47 zenon_H4d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_L1589_); trivial. % 1.57/1.69 apply (zenon_L611_); trivial. % 1.57/1.69 (* end of lemma zenon_L1715_ *) % 1.57/1.69 assert (zenon_L1716_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a472))/\((c3_1 (a472))/\(~(c2_1 (a472))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c2_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> (~(hskp6)) -> (~(hskp13)) -> ((hskp6)\/((hskp20)\/(hskp13))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H95 zenon_H50 zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2ae zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H24c zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H231 zenon_H47 zenon_H4d zenon_H9 zenon_H5 zenon_Hd. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.69 apply (zenon_L7_); trivial. % 1.57/1.69 apply (zenon_L1715_); trivial. % 1.57/1.69 (* end of lemma zenon_L1716_ *) % 1.57/1.69 assert (zenon_L1717_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4d zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H2cd zenon_H2ce zenon_H60 zenon_H2e2 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L650_); trivial. % 1.57/1.69 apply (zenon_L1656_); trivial. % 1.57/1.69 (* end of lemma zenon_L1717_ *) % 1.57/1.69 assert (zenon_L1718_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (ndr1_0) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H88 zenon_H2de zenon_H2a3 zenon_H130 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H10 zenon_H252 zenon_H254 zenon_H253 zenon_H3 zenon_H265 zenon_H2e2 zenon_H60 zenon_H2ce zenon_H2cd zenon_H2da zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H24c zenon_H4d. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_L1717_); trivial. % 1.57/1.69 apply (zenon_L1691_); trivial. % 1.57/1.69 (* end of lemma zenon_L1718_ *) % 1.57/1.69 assert (zenon_L1719_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (~(c0_1 (a432))) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((hskp30)\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (c0_1 (a467)) -> (~(c2_1 (a467))) -> (~(c1_1 (a467))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1))))))\/((hskp23)\/(hskp7))) -> (~(hskp7)) -> (~(hskp23)) -> (c2_1 (a442)) -> (c0_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4d zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2da zenon_H60 zenon_H2e2 zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H33 zenon_H2ce zenon_H2cd zenon_H14 zenon_H13 zenon_H12 zenon_H128 zenon_H126 zenon_H9d zenon_H254 zenon_H253 zenon_H252 zenon_H2ae. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L1511_); trivial. % 1.57/1.69 apply (zenon_L1656_); trivial. % 1.57/1.69 (* end of lemma zenon_L1719_ *) % 1.57/1.69 assert (zenon_L1720_ : ((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H46 zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ce zenon_H2cd zenon_H2da zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.57/1.69 apply (zenon_L335_); trivial. % 1.57/1.69 apply (zenon_L1655_); trivial. % 1.57/1.69 (* end of lemma zenon_L1720_ *) % 1.57/1.69 assert (zenon_L1721_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(hskp24)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4d zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ce zenon_H2cd zenon_H2da zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_H51 zenon_Hba. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L650_); trivial. % 1.57/1.69 apply (zenon_L1720_); trivial. % 1.57/1.69 (* end of lemma zenon_L1721_ *) % 1.57/1.69 assert (zenon_L1722_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c0_1 (a486))) -> (c1_1 (a486)) -> (c2_1 (a486)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4d zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ce zenon_H2cd zenon_H2da zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231 zenon_H10 zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H65 zenon_H66 zenon_H67 zenon_H265 zenon_H3 zenon_H254 zenon_H252 zenon_H130. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L653_); trivial. % 1.57/1.69 apply (zenon_L1720_); trivial. % 1.57/1.69 (* end of lemma zenon_L1722_ *) % 1.57/1.69 assert (zenon_L1723_ : ((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> (~(c0_1 (a435))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H84 zenon_Heb zenon_H2de zenon_H2ae zenon_H130 zenon_H252 zenon_H254 zenon_H3 zenon_H265 zenon_H2a5 zenon_H2a4 zenon_H2a3 zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H2da zenon_H2cd zenon_H2ce zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H24c zenon_H4d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_L1722_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H10. zenon_intro zenon_Hee. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hd0. zenon_intro zenon_Hef. % 1.57/1.69 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L653_); trivial. % 1.57/1.69 apply (zenon_L1676_); trivial. % 1.57/1.69 (* end of lemma zenon_L1723_ *) % 1.57/1.69 assert (zenon_L1724_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a442)) -> (c2_1 (a442)) -> (~(c3_1 (a442))) -> (ndr1_0) -> (c1_1 (a435)) -> (~(c3_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c0_1 (a435))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H88 zenon_H130 zenon_H4d zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ce zenon_H2cd zenon_H2da zenon_H8a zenon_H8b zenon_H8c zenon_H231 zenon_H265 zenon_H3 zenon_H253 zenon_H254 zenon_H252 zenon_H10 zenon_H2a5 zenon_H2a4 zenon_Hba zenon_H2ae zenon_H2a3 zenon_H2de zenon_Heb. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_L1721_); trivial. % 1.57/1.69 apply (zenon_L1698_); trivial. % 1.57/1.69 apply (zenon_L1723_); trivial. % 1.57/1.69 (* end of lemma zenon_L1724_ *) % 1.57/1.69 assert (zenon_L1725_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a489))/\((c3_1 (a489))/\(~(c0_1 (a489))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/(forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23))))))\/(hskp25))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H95 zenon_H189 zenon_H152 zenon_H2e0 zenon_H13e zenon_H182 zenon_H185 zenon_Heb zenon_H2de zenon_H2a3 zenon_H2ae zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H231 zenon_H2da zenon_H2cd zenon_H2ce zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H24c zenon_H4d zenon_H130 zenon_H88. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_L1724_); trivial. % 1.57/1.69 apply (zenon_L1471_); trivial. % 1.57/1.69 (* end of lemma zenon_L1725_ *) % 1.57/1.69 assert (zenon_L1726_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (~(hskp11)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c2_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H95 zenon_H189 zenon_H216 zenon_H217 zenon_H218 zenon_H33 zenon_H182 zenon_H185 zenon_Heb zenon_H2de zenon_H2a3 zenon_H2ae zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H231 zenon_H2da zenon_H2cd zenon_H2ce zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H24c zenon_H4d zenon_H130 zenon_H88. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_L1724_); trivial. % 1.57/1.69 apply (zenon_L1678_); trivial. % 1.57/1.69 (* end of lemma zenon_L1726_ *) % 1.57/1.69 assert (zenon_L1727_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> (c0_1 (a441)) -> (~(c3_1 (a441))) -> (~(c2_1 (a441))) -> (~(c1_1 (a434))) -> (~(c3_1 (a434))) -> (c0_1 (a434)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c3_1 (a432)) -> (~(c2_1 (a432))) -> (~(c0_1 (a432))) -> (~(c2_1 (a457))) -> (c1_1 (a457)) -> (c3_1 (a457)) -> (~(hskp26)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (ndr1_0) -> (~(c1_1 (a467))) -> (~(c2_1 (a467))) -> (c0_1 (a467)) -> (~(c1_1 (a443))) -> (~(c2_1 (a443))) -> (c3_1 (a443)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H4d zenon_H24c zenon_H2e6 zenon_H27e zenon_H27d zenon_H27c zenon_H2bb zenon_H2bc zenon_H2bd zenon_H245 zenon_H2ce zenon_H2cd zenon_H2da zenon_H8a zenon_H8b zenon_H8c zenon_Hc5 zenon_H231 zenon_H10 zenon_H12 zenon_H13 zenon_H14 zenon_H216 zenon_H217 zenon_H218 zenon_H33. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.69 apply (zenon_L297_); trivial. % 1.57/1.69 apply (zenon_L1720_); trivial. % 1.57/1.69 (* end of lemma zenon_L1727_ *) % 1.57/1.69 assert (zenon_L1728_ : ((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a435))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (c3_1 (a457)) -> (c1_1 (a457)) -> (~(c2_1 (a457))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H184 zenon_Heb zenon_H2de zenon_H2a3 zenon_H2a4 zenon_H2a5 zenon_H2ae zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_H231 zenon_H8c zenon_H8b zenon_H8a zenon_H2da zenon_H2cd zenon_H2ce zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H24c zenon_H4d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_L1727_); trivial. % 1.57/1.69 apply (zenon_L1677_); trivial. % 1.57/1.69 (* end of lemma zenon_L1728_ *) % 1.57/1.69 assert (zenon_L1729_ : ((ndr1_0)/\((c1_1 (a457))/\((c3_1 (a457))/\(~(c2_1 (a457)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a467))/\((~(c1_1 (a467)))/\(~(c2_1 (a467))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((~(c0_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c0_1 X26))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((c2_1 X60)\/(~(c3_1 X60))))))\/(hskp28))) -> (c3_1 (a443)) -> (~(c2_1 (a443))) -> (~(c1_1 (a443))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a492))/\((c2_1 (a492))/\(~(c3_1 (a492))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c2_1 X1)))))))) -> (c2_1 (a449)) -> (~(c3_1 (a449))) -> (~(c1_1 (a449))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c3_1 X34)\/(~(c1_1 X34))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))))) -> (~(c0_1 (a435))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c2_1 X3))))))\/((forall X103 : zenon_U, ((ndr1_0)->((c2_1 X103)\/((c3_1 X103)\/(~(c1_1 X103))))))\/(hskp24))) -> (~(c3_1 (a435))) -> (c1_1 (a435)) -> (~(c3_1 (a442))) -> (c2_1 (a442)) -> (c0_1 (a442)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c3_1 X8)\/((~(c1_1 X8))\/(~(c2_1 X8))))))\/((hskp28)\/(hskp19))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c1_1 X53))\/(~(c3_1 X53))))))\/((hskp30)\/(hskp26))) -> (~(c0_1 (a432))) -> (~(c2_1 (a432))) -> (c3_1 (a432)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c1_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/((forall X98 : zenon_U, ((ndr1_0)->((~(c0_1 X98))\/((~(c1_1 X98))\/(~(c2_1 X98))))))\/(forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c1_1 X23))\/(~(c3_1 X23)))))))) -> (c0_1 (a434)) -> (~(c3_1 (a434))) -> (~(c1_1 (a434))) -> (~(c2_1 (a441))) -> (~(c3_1 (a441))) -> (c0_1 (a441)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c2_1 X40))\/(~(c3_1 X40))))))\/(forall X41 : zenon_U, ((ndr1_0)->((c2_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a456))/\((c1_1 (a456))/\(c2_1 (a456)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a437))/\((c2_1 (a437))/\(c3_1 (a437)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a486))/\((c2_1 (a486))/\(~(c0_1 (a486))))))) -> False). % 1.57/1.69 do 0 intro. intros zenon_H95 zenon_H189 zenon_H2de zenon_H33 zenon_H218 zenon_H217 zenon_H216 zenon_Heb zenon_H130 zenon_H1bb zenon_H1bc zenon_H1ba zenon_H2ae zenon_H2a3 zenon_Hba zenon_H2a4 zenon_H2a5 zenon_H252 zenon_H254 zenon_H253 zenon_H265 zenon_H231 zenon_H2da zenon_H2cd zenon_H2ce zenon_H245 zenon_H2bd zenon_H2bc zenon_H2bb zenon_H27c zenon_H27d zenon_H27e zenon_H2e6 zenon_H24c zenon_H4d zenon_H88. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.69 apply (zenon_L1721_); trivial. % 1.57/1.69 apply (zenon_L611_); trivial. % 1.57/1.69 apply (zenon_L592_); trivial. % 1.57/1.69 apply (zenon_L1728_); trivial. % 1.57/1.69 (* end of lemma zenon_L1729_ *) % 1.57/1.69 apply NNPP. intro zenon_G. % 1.57/1.69 apply zenon_G. zenon_intro zenon_H2e8. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2c9. zenon_intro zenon_H2ef. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f1. zenon_intro zenon_H2f0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2b7. zenon_intro zenon_H2f2. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H29f. zenon_intro zenon_H2f3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H277. zenon_intro zenon_H2f4. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H24d. zenon_intro zenon_H2f5. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H215. zenon_intro zenon_H2f6. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H1f2. zenon_intro zenon_H2f7. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H1dd. zenon_intro zenon_H2f8. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1d0. zenon_intro zenon_H2f9. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H1b6. zenon_intro zenon_H2fa. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H168. zenon_intro zenon_H2fb. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H16c. zenon_intro zenon_H2fc. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H98. zenon_intro zenon_H2fd. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H16b. zenon_intro zenon_H2fe. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H300. zenon_intro zenon_H2ff. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H189. zenon_intro zenon_H301. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H50. zenon_intro zenon_H302. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H169. zenon_intro zenon_H303. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H16a. zenon_intro zenon_H304. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_Hf1. zenon_intro zenon_H305. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H88. zenon_intro zenon_H306. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H152. zenon_intro zenon_H307. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_Heb. zenon_intro zenon_H308. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H29e. zenon_intro zenon_H309. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H4d. zenon_intro zenon_H30a. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H85. zenon_intro zenon_H30b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H24c. zenon_intro zenon_H30c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30e. zenon_intro zenon_H30d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H310. zenon_intro zenon_H30f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H312. zenon_intro zenon_H311. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H1eb. zenon_intro zenon_H313. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H1ed. zenon_intro zenon_H314. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H210. zenon_intro zenon_H315. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H248. zenon_intro zenon_H316. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H318. zenon_intro zenon_H317. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H101. zenon_intro zenon_H319. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H31b. zenon_intro zenon_H31a. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H22b. zenon_intro zenon_H31c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H227. zenon_intro zenon_H31d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H31f. zenon_intro zenon_H31e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H19b. zenon_intro zenon_H320. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H299. zenon_intro zenon_H321. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H297. zenon_intro zenon_H322. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H185. zenon_intro zenon_H323. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H26f. zenon_intro zenon_H324. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H1ce. zenon_intro zenon_H325. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hec. zenon_intro zenon_H326. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H153. zenon_intro zenon_H327. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H2e0. zenon_intro zenon_H328. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H2de. zenon_intro zenon_H329. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H2e6. zenon_intro zenon_H32a. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H2e2. zenon_intro zenon_H32b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32d. zenon_intro zenon_H32c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H163. zenon_intro zenon_H32e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H130. zenon_intro zenon_H32f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H2ac. zenon_intro zenon_H330. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H2ae. zenon_intro zenon_H331. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1ca. zenon_intro zenon_H332. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H275. zenon_intro zenon_H333. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H161. zenon_intro zenon_H334. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_He7. zenon_intro zenon_H335. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H1a7. zenon_intro zenon_H336. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H1a3. zenon_intro zenon_H337. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33b. zenon_intro zenon_H33a. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H80. zenon_intro zenon_H33c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H93. zenon_intro zenon_H33d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H1b4. zenon_intro zenon_H33e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H271. zenon_intro zenon_H33f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H341. zenon_intro zenon_H340. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_Hc0. zenon_intro zenon_H342. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H14e. zenon_intro zenon_H343. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H345. zenon_intro zenon_H344. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H33. zenon_intro zenon_H346. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H47. zenon_intro zenon_H347. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H349. zenon_intro zenon_H348. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H1ad. zenon_intro zenon_H34a. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H202. zenon_intro zenon_H34b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H245. zenon_intro zenon_H34c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H34e. zenon_intro zenon_H34d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H128. zenon_intro zenon_H34f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_Hba. zenon_intro zenon_H350. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H1c8. zenon_intro zenon_H351. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H285. zenon_intro zenon_H352. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H267. zenon_intro zenon_H353. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H355. zenon_intro zenon_H354. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_Hc7. zenon_intro zenon_H356. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hdc. zenon_intro zenon_H357. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H62. zenon_intro zenon_H358. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H35a. zenon_intro zenon_H359. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H190. zenon_intro zenon_H35b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H13e. zenon_intro zenon_H35c. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H231. zenon_intro zenon_H35d. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H25b. zenon_intro zenon_H35e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H265. zenon_intro zenon_H35f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H103. zenon_intro zenon_H360. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H28b. zenon_intro zenon_H361. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H2f. zenon_intro zenon_H362. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H124. zenon_intro zenon_H363. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H1a5. zenon_intro zenon_H364. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H366. zenon_intro zenon_H365. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H368. zenon_intro zenon_H367. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H7. zenon_intro zenon_H369. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H9f. zenon_intro zenon_H36a. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_Hd. zenon_intro zenon_H36b. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H53. zenon_intro zenon_H36c. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_Hff | zenon_intro zenon_H36d ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_He9 | zenon_intro zenon_H36e ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2d | zenon_intro zenon_H2ca ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2b8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_L4_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.69 apply (zenon_L23_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.69 apply (zenon_L41_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.69 apply (zenon_L106_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.69 apply (zenon_L169_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.69 apply (zenon_L207_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.69 apply (zenon_L222_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.57/1.69 apply (zenon_L228_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.69 apply (zenon_L266_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.69 apply (zenon_L346_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.69 apply (zenon_L480_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H10. zenon_intro zenon_H2b9. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H27e. zenon_intro zenon_H2ba. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H27c. zenon_intro zenon_H27d. % 1.57/1.69 apply (zenon_L567_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H10. zenon_intro zenon_H2cb. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H2a5. zenon_intro zenon_H2cc. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H2a3. zenon_intro zenon_H2a4. % 1.57/1.69 apply (zenon_L718_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H10. zenon_intro zenon_H36f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H2bd. zenon_intro zenon_H370. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.57/1.69 apply (zenon_L1146_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H10. zenon_intro zenon_H371. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H2ce. zenon_intro zenon_H372. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2da. zenon_intro zenon_H2cd. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_He9 | zenon_intro zenon_H36e ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2d | zenon_intro zenon_H2ca ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2b8 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.69 apply (zenon_L4_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.69 apply (zenon_L7_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_L25_); trivial. % 1.57/1.69 apply (zenon_L1153_); trivial. % 1.57/1.69 apply (zenon_L1159_); trivial. % 1.57/1.69 apply (zenon_L1162_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.69 apply (zenon_L1167_); trivial. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.69 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.69 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H22f | zenon_intro zenon_H247 ]. % 1.57/1.70 apply (zenon_L1168_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H10. zenon_intro zenon_H249. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H234. zenon_intro zenon_H24a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H235. zenon_intro zenon_H236. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ae ]. % 1.57/1.70 apply (zenon_L1169_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_Hcc | zenon_intro zenon_H1b ]. % 1.57/1.70 apply (zenon_L1170_); trivial. % 1.57/1.70 apply (zenon_L1171_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L1161_); trivial. % 1.57/1.70 apply (zenon_L1172_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1156_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L25_); trivial. % 1.57/1.70 apply (zenon_L1174_); trivial. % 1.57/1.70 apply (zenon_L1162_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L185_); trivial. % 1.57/1.70 apply (zenon_L1165_); trivial. % 1.57/1.70 apply (zenon_L204_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1176_); trivial. % 1.57/1.70 apply (zenon_L1178_); trivial. % 1.57/1.70 apply (zenon_L1181_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_L1159_); trivial. % 1.57/1.70 apply (zenon_L1162_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_L320_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1187_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1188_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_L1190_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1196_); trivial. % 1.57/1.70 apply (zenon_L40_); trivial. % 1.57/1.70 apply (zenon_L331_); trivial. % 1.57/1.70 apply (zenon_L333_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_L234_); trivial. % 1.57/1.70 apply (zenon_L1202_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_L320_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L25_); trivial. % 1.57/1.70 apply (zenon_L1203_); trivial. % 1.57/1.70 apply (zenon_L1159_); trivial. % 1.57/1.70 apply (zenon_L1162_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1167_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1166_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L277_); trivial. % 1.57/1.70 apply (zenon_L1177_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L25_); trivial. % 1.57/1.70 apply (zenon_L1205_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L173_); trivial. % 1.57/1.70 apply (zenon_L1155_); trivial. % 1.57/1.70 apply (zenon_L1207_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1188_); trivial. % 1.57/1.70 apply (zenon_L1209_); trivial. % 1.57/1.70 apply (zenon_L1162_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1212_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_L1216_); trivial. % 1.57/1.70 apply (zenon_L178_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_L1218_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L302_); trivial. % 1.57/1.70 apply (zenon_L1162_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L305_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1219_); trivial. % 1.57/1.70 apply (zenon_L219_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L315_); trivial. % 1.57/1.70 apply (zenon_L1073_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1220_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L691_); trivial. % 1.57/1.70 apply (zenon_L1198_); trivial. % 1.57/1.70 apply (zenon_L426_); trivial. % 1.57/1.70 apply (zenon_L77_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_L320_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L1222_); trivial. % 1.57/1.70 apply (zenon_L1224_); trivial. % 1.57/1.70 apply (zenon_L1186_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_L1231_); trivial. % 1.57/1.70 apply (zenon_L814_); trivial. % 1.57/1.70 apply (zenon_L234_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_L1195_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L1234_); trivial. % 1.57/1.70 apply (zenon_L1227_); trivial. % 1.57/1.70 apply (zenon_L1235_); trivial. % 1.57/1.70 apply (zenon_L1231_); trivial. % 1.57/1.70 apply (zenon_L327_); trivial. % 1.57/1.70 apply (zenon_L331_); trivial. % 1.57/1.70 apply (zenon_L333_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L636_); trivial. % 1.57/1.70 apply (zenon_L1237_); trivial. % 1.57/1.70 apply (zenon_L1186_); trivial. % 1.57/1.70 apply (zenon_L1238_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L641_); trivial. % 1.57/1.70 apply (zenon_L1186_); trivial. % 1.57/1.70 apply (zenon_L1073_); trivial. % 1.57/1.70 apply (zenon_L234_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L182_); trivial. % 1.57/1.70 apply (zenon_L1194_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L691_); trivial. % 1.57/1.70 apply (zenon_L1235_); trivial. % 1.57/1.70 apply (zenon_L1239_); trivial. % 1.57/1.70 apply (zenon_L1074_); trivial. % 1.57/1.70 apply (zenon_L333_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1240_); trivial. % 1.57/1.70 apply (zenon_L1202_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_L320_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1244_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.57/1.70 apply (zenon_L1245_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H10. zenon_intro zenon_H29c. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H28e. zenon_intro zenon_H29d. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H28f. zenon_intro zenon_H290. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L760_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H10. zenon_intro zenon_H48. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H37. zenon_intro zenon_H49. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4a. zenon_intro zenon_H38. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H5e | zenon_intro zenon_H7f ]. % 1.57/1.70 apply (zenon_L533_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H10. zenon_intro zenon_H81. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H78. zenon_intro zenon_H82. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H70. zenon_intro zenon_H71. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_Hde | zenon_intro zenon_H1cf ]. % 1.57/1.70 apply (zenon_L1247_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1b | zenon_intro zenon_H6 ]. % 1.57/1.70 apply (zenon_L580_); trivial. % 1.57/1.70 exact (zenon_H5 zenon_H6). % 1.57/1.70 apply (zenon_L1252_); trivial. % 1.57/1.70 apply (zenon_L244_); trivial. % 1.57/1.70 apply (zenon_L1253_); trivial. % 1.57/1.70 apply (zenon_L1261_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.57/1.70 apply (zenon_L1245_); trivial. % 1.57/1.70 apply (zenon_L1263_); trivial. % 1.57/1.70 apply (zenon_L1252_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L1253_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1268_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H289 | zenon_intro zenon_H29b ]. % 1.57/1.70 apply (zenon_L1269_); trivial. % 1.57/1.70 apply (zenon_L1270_); trivial. % 1.57/1.70 apply (zenon_L1271_); trivial. % 1.57/1.70 apply (zenon_L244_); trivial. % 1.57/1.70 apply (zenon_L1158_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1272_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L1274_); trivial. % 1.57/1.70 apply (zenon_L1271_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L1158_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1268_); trivial. % 1.57/1.70 apply (zenon_L1276_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1244_); trivial. % 1.57/1.70 apply (zenon_L1277_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1268_); trivial. % 1.57/1.70 apply (zenon_L1278_); trivial. % 1.57/1.70 apply (zenon_L357_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1283_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_L1286_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_L1287_); trivial. % 1.57/1.70 apply (zenon_L77_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1283_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L145_); trivial. % 1.57/1.70 apply (zenon_L1285_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L145_); trivial. % 1.57/1.70 apply (zenon_L1287_); trivial. % 1.57/1.70 apply (zenon_L77_); trivial. % 1.57/1.70 apply (zenon_L1288_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1283_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_L1286_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H10. zenon_intro zenon_H16f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_Hf8. zenon_intro zenon_H170. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Hf6. zenon_intro zenon_Hf7. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1289_); trivial. % 1.57/1.70 apply (zenon_L1287_); trivial. % 1.57/1.70 apply (zenon_L77_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1283_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1289_); trivial. % 1.57/1.70 apply (zenon_L1177_); trivial. % 1.57/1.70 apply (zenon_L1288_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_L1292_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L1297_); trivial. % 1.57/1.70 apply (zenon_L1300_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L506_); trivial. % 1.57/1.70 apply (zenon_L758_); trivial. % 1.57/1.70 apply (zenon_L508_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_L1292_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L1297_); trivial. % 1.57/1.70 apply (zenon_L764_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L506_); trivial. % 1.57/1.70 apply (zenon_L974_); trivial. % 1.57/1.70 apply (zenon_L508_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1301_); trivial. % 1.57/1.70 apply (zenon_L1302_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1303_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L173_); trivial. % 1.57/1.70 apply (zenon_L1158_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L185_); trivial. % 1.57/1.70 apply (zenon_L1277_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L185_); trivial. % 1.57/1.70 apply (zenon_L1278_); trivial. % 1.57/1.70 apply (zenon_L1308_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_L1181_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L185_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L188_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H10. zenon_intro zenon_H86. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H66. zenon_intro zenon_H87. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H67. zenon_intro zenon_H65. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L1304_); trivial. % 1.57/1.70 apply (zenon_L1309_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L188_); trivial. % 1.57/1.70 apply (zenon_L1305_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L185_); trivial. % 1.57/1.70 apply (zenon_L1307_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1176_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_L1310_); trivial. % 1.57/1.70 apply (zenon_L419_); trivial. % 1.57/1.70 apply (zenon_L77_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L684_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1311_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L388_); trivial. % 1.57/1.70 apply (zenon_L421_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L1253_); trivial. % 1.57/1.70 apply (zenon_L423_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1283_); trivial. % 1.57/1.70 apply (zenon_L423_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L430_); trivial. % 1.57/1.70 apply (zenon_L1308_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1180_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_L1310_); trivial. % 1.57/1.70 apply (zenon_L426_); trivial. % 1.57/1.70 apply (zenon_L77_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_L1315_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L232_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L233_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1306_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L329_); trivial. % 1.57/1.70 apply (zenon_L1189_); trivial. % 1.57/1.70 apply (zenon_L333_); trivial. % 1.57/1.70 apply (zenon_L1317_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L454_); trivial. % 1.57/1.70 apply (zenon_L1253_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L1267_); trivial. % 1.57/1.70 apply (zenon_L453_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L1203_); trivial. % 1.57/1.70 apply (zenon_L1326_); trivial. % 1.57/1.70 apply (zenon_L357_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1328_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L1331_); trivial. % 1.57/1.70 apply (zenon_L1161_); trivial. % 1.57/1.70 apply (zenon_L1326_); trivial. % 1.57/1.70 apply (zenon_L1334_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L1294_); trivial. % 1.57/1.70 apply (zenon_L453_); trivial. % 1.57/1.70 apply (zenon_L125_); trivial. % 1.57/1.70 apply (zenon_L506_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_L1335_); trivial. % 1.57/1.70 apply (zenon_L508_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1328_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L1331_); trivial. % 1.57/1.70 apply (zenon_L506_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1336_); trivial. % 1.57/1.70 apply (zenon_L1335_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1303_); trivial. % 1.57/1.70 apply (zenon_L1207_); trivial. % 1.57/1.70 apply (zenon_L1337_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1212_); trivial. % 1.57/1.70 apply (zenon_L1339_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_L1218_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L684_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1321_); trivial. % 1.57/1.70 apply (zenon_L1340_); trivial. % 1.57/1.70 apply (zenon_L423_); trivial. % 1.57/1.70 apply (zenon_L357_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1321_); trivial. % 1.57/1.70 apply (zenon_L1327_); trivial. % 1.57/1.70 apply (zenon_L423_); trivial. % 1.57/1.70 apply (zenon_L1334_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1219_); trivial. % 1.57/1.70 apply (zenon_L1337_); trivial. % 1.57/1.70 apply (zenon_L1346_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_L1347_); trivial. % 1.57/1.70 apply (zenon_L1182_); trivial. % 1.57/1.70 apply (zenon_L1315_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_L1348_); trivial. % 1.57/1.70 apply (zenon_L333_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H10. zenon_intro zenon_H2b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H27e. zenon_intro zenon_H2ba. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H27c. zenon_intro zenon_H27d. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L1352_); trivial. % 1.57/1.70 apply (zenon_L1354_); trivial. % 1.57/1.70 apply (zenon_L1358_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_L1360_); trivial. % 1.57/1.70 apply (zenon_L767_); trivial. % 1.57/1.70 apply (zenon_L508_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L1352_); trivial. % 1.57/1.70 apply (zenon_L146_); trivial. % 1.57/1.70 apply (zenon_L1363_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L1364_); trivial. % 1.57/1.70 apply (zenon_L1351_); trivial. % 1.57/1.70 apply (zenon_L196_); trivial. % 1.57/1.70 apply (zenon_L1365_); trivial. % 1.57/1.70 apply (zenon_L132_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1366_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L185_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L173_); trivial. % 1.57/1.70 apply (zenon_L1354_); trivial. % 1.57/1.70 apply (zenon_L1368_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1369_); trivial. % 1.57/1.70 apply (zenon_L1371_); trivial. % 1.57/1.70 apply (zenon_L525_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1372_); trivial. % 1.57/1.70 apply (zenon_L1368_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1372_); trivial. % 1.57/1.70 apply (zenon_L1371_); trivial. % 1.57/1.70 apply (zenon_L203_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_L206_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1377_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_L1379_); trivial. % 1.57/1.70 apply (zenon_L204_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_L211_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L296_); trivial. % 1.57/1.70 apply (zenon_L1380_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L296_); trivial. % 1.57/1.70 apply (zenon_L1365_); trivial. % 1.57/1.70 apply (zenon_L132_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L221_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H10. zenon_intro zenon_H213. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1e2. zenon_intro zenon_H214. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_L1358_); trivial. % 1.57/1.70 apply (zenon_L226_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1314_); trivial. % 1.57/1.70 apply (zenon_L227_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L1381_); trivial. % 1.57/1.70 apply (zenon_L1382_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1384_); trivial. % 1.57/1.70 apply (zenon_L1387_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1389_); trivial. % 1.57/1.70 apply (zenon_L1360_); trivial. % 1.57/1.70 apply (zenon_L1394_); trivial. % 1.57/1.70 apply (zenon_L132_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1384_); trivial. % 1.57/1.70 apply (zenon_L1395_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_L1396_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1377_); trivial. % 1.57/1.70 apply (zenon_L1394_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_L1396_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1389_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_L1397_); trivial. % 1.57/1.70 apply (zenon_L1394_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L305_); trivial. % 1.57/1.70 apply (zenon_L1387_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L305_); trivial. % 1.57/1.70 apply (zenon_L1398_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L305_); trivial. % 1.57/1.70 apply (zenon_L1395_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1403_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L173_); trivial. % 1.57/1.70 apply (zenon_L1388_); trivial. % 1.57/1.70 apply (zenon_L301_); trivial. % 1.57/1.70 apply (zenon_L1406_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1407_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1384_); trivial. % 1.57/1.70 apply (zenon_L234_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1382_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1408_); trivial. % 1.57/1.70 apply (zenon_L1385_); trivial. % 1.57/1.70 apply (zenon_L1412_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1415_); trivial. % 1.57/1.70 apply (zenon_L1360_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1417_); trivial. % 1.57/1.70 apply (zenon_L757_); trivial. % 1.57/1.70 apply (zenon_L508_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_L1419_); trivial. % 1.57/1.70 apply (zenon_L1291_); trivial. % 1.57/1.70 apply (zenon_L1421_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1415_); trivial. % 1.57/1.70 apply (zenon_L1365_); trivial. % 1.57/1.70 apply (zenon_L1412_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_L1423_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H10. zenon_intro zenon_H112. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H109. zenon_intro zenon_H113. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L352_); trivial. % 1.57/1.70 apply (zenon_L1420_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_L1419_); trivial. % 1.57/1.70 apply (zenon_L396_); trivial. % 1.57/1.70 apply (zenon_L1421_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1408_); trivial. % 1.57/1.70 apply (zenon_L1368_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1408_); trivial. % 1.57/1.70 apply (zenon_L1371_); trivial. % 1.57/1.70 apply (zenon_L525_); trivial. % 1.57/1.70 apply (zenon_L1424_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_L206_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1377_); trivial. % 1.57/1.70 apply (zenon_L1425_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_L409_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H10. zenon_intro zenon_H171. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H156. zenon_intro zenon_H172. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H173. zenon_intro zenon_H155. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L173_); trivial. % 1.57/1.70 apply (zenon_L1414_); trivial. % 1.57/1.70 apply (zenon_L1426_); trivial. % 1.57/1.70 apply (zenon_L1425_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H140 | zenon_intro zenon_H16d ]. % 1.57/1.70 apply (zenon_L211_); trivial. % 1.57/1.70 apply (zenon_L1429_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1315_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H142 | zenon_intro zenon_H212 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_L1432_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1433_); trivial. % 1.57/1.70 apply (zenon_L1317_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L1434_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1438_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L1440_); trivial. % 1.57/1.70 apply (zenon_L1393_); trivial. % 1.57/1.70 apply (zenon_L1442_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L209_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1427_); trivial. % 1.57/1.70 apply (zenon_L1405_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L476_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L297_); trivial. % 1.57/1.70 apply (zenon_L1443_); trivial. % 1.57/1.70 apply (zenon_L475_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H10. zenon_intro zenon_H2cb. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H2a5. zenon_intro zenon_H2cc. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H2a3. zenon_intro zenon_H2a4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2b8 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L576_); trivial. % 1.57/1.70 apply (zenon_L1446_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L175_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L84_); trivial. % 1.57/1.70 apply (zenon_L1446_); trivial. % 1.57/1.70 apply (zenon_L1455_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1464_); trivial. % 1.57/1.70 apply (zenon_L597_); trivial. % 1.57/1.70 apply (zenon_L1467_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1021_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_L1468_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_L576_); trivial. % 1.57/1.70 apply (zenon_L1469_); trivial. % 1.57/1.70 apply (zenon_L1470_); trivial. % 1.57/1.70 apply (zenon_L1472_); trivial. % 1.57/1.70 apply (zenon_L1455_); trivial. % 1.57/1.70 apply (zenon_L1477_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1464_); trivial. % 1.57/1.70 apply (zenon_L1040_); trivial. % 1.57/1.70 apply (zenon_L1467_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_L1480_); trivial. % 1.57/1.70 apply (zenon_L1468_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L622_); trivial. % 1.57/1.70 apply (zenon_L1455_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1482_); trivial. % 1.57/1.70 apply (zenon_L693_); trivial. % 1.57/1.70 apply (zenon_L1484_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1064_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1493_); trivial. % 1.57/1.70 apply (zenon_L1455_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_L1476_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L1494_); trivial. % 1.57/1.70 apply (zenon_L1495_); trivial. % 1.57/1.70 apply (zenon_L1476_); trivial. % 1.57/1.70 apply (zenon_L1496_); trivial. % 1.57/1.70 apply (zenon_L1498_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1501_); trivial. % 1.57/1.70 apply (zenon_L1484_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_L1480_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1502_); trivial. % 1.57/1.70 apply (zenon_L1484_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L1510_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1517_); trivial. % 1.57/1.70 apply (zenon_L1509_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_L669_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L684_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1505_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1519_); trivial. % 1.57/1.70 apply (zenon_L1088_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_L669_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L1521_); trivial. % 1.57/1.70 apply (zenon_L1111_); trivial. % 1.57/1.70 apply (zenon_L1523_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L1510_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1526_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L694_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1526_); trivial. % 1.57/1.70 apply (zenon_L1484_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1529_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L1521_); trivial. % 1.57/1.70 apply (zenon_L1531_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L232_); trivial. % 1.57/1.70 apply (zenon_L1070_); trivial. % 1.57/1.70 apply (zenon_L1532_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H10. zenon_intro zenon_H2b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H27e. zenon_intro zenon_H2ba. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H27c. zenon_intro zenon_H27d. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L1536_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L175_); trivial. % 1.57/1.70 apply (zenon_L1535_); trivial. % 1.57/1.70 apply (zenon_L1455_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L1459_); trivial. % 1.57/1.70 apply (zenon_L1538_); trivial. % 1.57/1.70 apply (zenon_L592_); trivial. % 1.57/1.70 apply (zenon_L594_); trivial. % 1.57/1.70 apply (zenon_L1463_); trivial. % 1.57/1.70 apply (zenon_L597_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1540_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L45_); trivial. % 1.57/1.70 apply (zenon_L1541_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L4_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L175_); trivial. % 1.57/1.70 apply (zenon_L1541_); trivial. % 1.57/1.70 apply (zenon_L1543_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1482_); trivial. % 1.57/1.70 apply (zenon_L1543_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1064_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H9b | zenon_intro zenon_H1ef ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1493_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L233_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H10. zenon_intro zenon_H133. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H115. zenon_intro zenon_H134. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H116. zenon_intro zenon_H11f. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1544_); trivial. % 1.57/1.70 apply (zenon_L1545_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1501_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H10. zenon_intro zenon_H1f0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1d6. zenon_intro zenon_H1f1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_L1539_); trivial. % 1.57/1.70 apply (zenon_L1546_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1549_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1550_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_L1515_); trivial. % 1.57/1.70 apply (zenon_L1542_); trivial. % 1.57/1.70 apply (zenon_L1553_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1517_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1549_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hbc | zenon_intro zenon_H111 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hbe | zenon_intro zenon_H16e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1550_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hb3. zenon_intro zenon_Hf4. % 1.57/1.70 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H51 | zenon_intro zenon_H84 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H13c | zenon_intro zenon_H14d ]. % 1.57/1.70 apply (zenon_L1516_); trivial. % 1.57/1.70 apply (zenon_L244_); trivial. % 1.57/1.70 apply (zenon_L1553_); trivial. % 1.57/1.70 apply (zenon_L710_); trivial. % 1.57/1.70 apply (zenon_L1555_); trivial. % 1.57/1.70 apply (zenon_L1457_); trivial. % 1.57/1.70 apply (zenon_L669_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H99 | zenon_intro zenon_H132 ]. % 1.57/1.70 apply (zenon_L233_); trivial. % 1.57/1.70 apply (zenon_L1557_); trivial. % 1.57/1.70 apply (zenon_L1111_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L1559_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1525_); trivial. % 1.57/1.70 apply (zenon_L1558_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H10. zenon_intro zenon_H36f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H2bd. zenon_intro zenon_H370. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H2bb. zenon_intro zenon_H2bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2d | zenon_intro zenon_H2ca ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2b8 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1566_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1569_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L1567_); trivial. % 1.57/1.70 apply (zenon_L1564_); trivial. % 1.57/1.70 apply (zenon_L1570_); trivial. % 1.57/1.70 apply (zenon_L1572_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1573_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L1576_); trivial. % 1.57/1.70 apply (zenon_L724_); trivial. % 1.57/1.70 apply (zenon_L1572_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1566_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1578_); trivial. % 1.57/1.70 apply (zenon_L1585_); trivial. % 1.57/1.70 apply (zenon_L1592_); trivial. % 1.57/1.70 apply (zenon_L1596_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1573_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1601_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1602_); trivial. % 1.57/1.70 apply (zenon_L1575_); trivial. % 1.57/1.70 apply (zenon_L1606_); trivial. % 1.57/1.70 apply (zenon_L724_); trivial. % 1.57/1.70 apply (zenon_L1611_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L889_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1614_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1619_); trivial. % 1.57/1.70 apply (zenon_L1612_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1619_); trivial. % 1.57/1.70 apply (zenon_L130_); trivial. % 1.57/1.70 apply (zenon_L1627_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L889_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1629_); trivial. % 1.57/1.70 apply (zenon_L1630_); trivial. % 1.57/1.70 apply (zenon_L1627_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L889_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1631_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1634_); trivial. % 1.57/1.70 apply (zenon_L1585_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1638_); trivial. % 1.57/1.70 apply (zenon_L130_); trivial. % 1.57/1.70 apply (zenon_L1645_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L889_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1631_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1648_); trivial. % 1.57/1.70 apply (zenon_L1612_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1649_); trivial. % 1.57/1.70 apply (zenon_L813_); trivial. % 1.57/1.70 apply (zenon_L168_); trivial. % 1.57/1.70 apply (zenon_L1651_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H10. zenon_intro zenon_H2b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H27e. zenon_intro zenon_H2ba. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H27c. zenon_intro zenon_H27d. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1566_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1652_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1573_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1652_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L838_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L889_); trivial. % 1.57/1.70 apply (zenon_L1653_); trivial. % 1.57/1.70 apply (zenon_L1654_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_L889_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1629_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_L1654_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1658_); trivial. % 1.57/1.70 apply (zenon_L976_); trivial. % 1.57/1.70 apply (zenon_L724_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H10. zenon_intro zenon_H2cb. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H2a5. zenon_intro zenon_H2cc. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H2a3. zenon_intro zenon_H2a4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H2b8 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1661_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1663_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L1456_); trivial. % 1.57/1.70 apply (zenon_L1665_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1667_); trivial. % 1.57/1.70 apply (zenon_L1471_); trivial. % 1.57/1.70 apply (zenon_L1673_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1661_); trivial. % 1.57/1.70 apply (zenon_L1477_); trivial. % 1.57/1.70 apply (zenon_L1673_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1661_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1663_); trivial. % 1.57/1.70 apply (zenon_L1585_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1667_); trivial. % 1.57/1.70 apply (zenon_L1678_); trivial. % 1.57/1.70 apply (zenon_L1682_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_L1661_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H10. zenon_intro zenon_H1b8. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha2. zenon_intro zenon_H1b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha3. zenon_intro zenon_Hab. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H31 | zenon_intro zenon_H46 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H192 | zenon_intro zenon_H22c ]. % 1.57/1.70 apply (zenon_L1483_); trivial. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H11e | zenon_intro zenon_H1b3 ]. % 1.57/1.70 apply (zenon_L1120_); trivial. % 1.57/1.70 exact (zenon_H1b2 zenon_H1b3). % 1.57/1.70 apply (zenon_L1600_); trivial. % 1.57/1.70 apply (zenon_L1685_); trivial. % 1.57/1.70 apply (zenon_L1688_); trivial. % 1.57/1.70 apply (zenon_L1498_); trivial. % 1.57/1.70 apply (zenon_L1689_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1692_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1695_); trivial. % 1.57/1.70 apply (zenon_L1697_); trivial. % 1.57/1.70 apply (zenon_L1699_); trivial. % 1.57/1.70 apply (zenon_L1707_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1660_); trivial. % 1.57/1.70 apply (zenon_L1699_); trivial. % 1.57/1.70 apply (zenon_L1111_); trivial. % 1.57/1.70 apply (zenon_L1523_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H7d | zenon_intro zenon_H24e ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1692_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L1581_); trivial. % 1.57/1.70 apply (zenon_L1694_); trivial. % 1.57/1.70 apply (zenon_L1699_); trivial. % 1.57/1.70 apply (zenon_L1682_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H10. zenon_intro zenon_H24f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H1f5. zenon_intro zenon_H250. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H1f3. zenon_intro zenon_H1f4. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H2b | zenon_intro zenon_H1d1 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_L348_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1679_); trivial. % 1.57/1.70 apply (zenon_L1699_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H10. zenon_intro zenon_H1d2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H176. zenon_intro zenon_H1d3. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1709_); trivial. % 1.57/1.70 apply (zenon_L1110_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1602_); trivial. % 1.57/1.70 apply (zenon_L1697_); trivial. % 1.57/1.70 apply (zenon_L1699_); trivial. % 1.57/1.70 apply (zenon_L1711_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H10. zenon_intro zenon_H2b9. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H27e. zenon_intro zenon_H2ba. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H27c. zenon_intro zenon_H27d. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a0 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_L1712_); trivial. % 1.57/1.70 apply (zenon_L1673_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1658_); trivial. % 1.57/1.70 apply (zenon_L1713_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1679_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H10. zenon_intro zenon_H96. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_H8b. zenon_intro zenon_H97. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_Hb | zenon_intro zenon_H4c ]. % 1.57/1.70 apply (zenon_L7_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H10. zenon_intro zenon_H4e. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H1c. zenon_intro zenon_H4f. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H1e. zenon_intro zenon_H26. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hed ]. % 1.57/1.70 apply (zenon_L1589_); trivial. % 1.57/1.70 apply (zenon_L1714_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1658_); trivial. % 1.57/1.70 apply (zenon_L1716_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1679_); trivial. % 1.57/1.70 apply (zenon_L1716_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H10. zenon_intro zenon_H2a1. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H253. zenon_intro zenon_H2a2. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H126 | zenon_intro zenon_H278 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 1.57/1.70 apply (zenon_L1718_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H10. zenon_intro zenon_H186. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H14. zenon_intro zenon_H187. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.57/1.70 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H9d | zenon_intro zenon_Hf2 ]. % 1.57/1.70 apply (zenon_L1719_); trivial. % 1.57/1.70 apply (zenon_L1697_); trivial. % 1.57/1.70 apply (zenon_L1725_); trivial. % 1.57/1.70 apply (zenon_L1707_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H279. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H218. zenon_intro zenon_H27a. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H216. zenon_intro zenon_H217. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H182 | zenon_intro zenon_H1de ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1658_); trivial. % 1.57/1.70 apply (zenon_L1726_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1679_); trivial. % 1.57/1.70 apply (zenon_L1726_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H10. zenon_intro zenon_H1df. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1bb. zenon_intro zenon_H1e0. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1ba. zenon_intro zenon_H1bc. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H5 | zenon_intro zenon_H1b7 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1 | zenon_intro zenon_H165 ]. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1658_); trivial. % 1.57/1.70 apply (zenon_L1729_); trivial. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H10. zenon_intro zenon_H166. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H56. zenon_intro zenon_H167. % 1.57/1.70 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H57. zenon_intro zenon_H55. % 1.57/1.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H60 | zenon_intro zenon_H95 ]. % 1.57/1.70 apply (zenon_L1679_); trivial. % 1.57/1.70 apply (zenon_L1729_); trivial. % 1.57/1.70 apply (zenon_L1359_); trivial. % 1.57/1.70 Qed. % 1.57/1.70 % SZS output end Proof % 1.57/1.70 (* END-PROOF *) % 1.57/1.70 nodes searched: 58514 % 1.57/1.70 max branch formulas: 447 % 1.57/1.70 proof nodes created: 11752 % 1.57/1.70 formulas created: 43709 % 1.57/1.70 %------------------------------------------------------------------------------